The treadwear index provided on car tyres helps prospective buyers make their purchasing decisions by indicating a tyre’s resistance to tread wear. A tyre with a treadwear grade of 200 should last twice as long, on average, as a tyre with a grade of 100. A consumer advocacy organisation wishes to test the validity of a popular branded tyre that claims a treadwear grade of 200. A random sample of 22 tyres indicates a sample mean treadwear index of 194.4 and a sample standard deviation of 20.

(a) Using 0.05 level of significance, is their evidence to conclude that the tyres are not meeting the expectation of lasting twice as long as a tyre graded at 100? Show all your workings

(b) What assumptions are made in order to conduct the hypothesis test in (a)?

Answers

Answer 1

Using hypothesis testing at 0.05 level of significance;

There is not enough evidence to conclude that the tyres are not meeting the expectation. The assumptions made are Random sampling , Normality, Independence and Homogeneity of Variance.

Hypothesis Testing

Null hypothesis (H0): The population mean treadwear index is equal to 200.

Alternative hypothesis (H1): The population mean treadwear index is not equal to 200.

Level of significance: α = 0.05

Given:

Sample mean (x) = 194.4

Sample standard deviation (s) = 20

Sample size (n) = 22

To test the hypothesis, we can calculate the t-statistic and compare it with the critical t-value.

The formula for the t-statistic is:

t = (x - μ) / (s / √(n))

Calculating the t-statistic:

t = (194.4 - 200) / (20 / sqrt(22))

t = -5.6 / (20 / 4.69)

t ≈ -5.6 / 4.26

t ≈ -1.314

To find the critical t-value, we need to determine the degrees of freedom (df). In this case, df = n - 1 = 22 - 1 = 21.

Using a t-table with a significance level of 0.05 and df = 21, the critical t-value (two-tailed test) is approximately ±2.080.

Since the calculated t-value (-1.314) does not exceed the critical t-value (-2.080 or 2.080), we fail to reject the null hypothesis.

Therefore, at the 0.05 level of significance, there is not enough evidence to conclude that the tyres are not meeting the expectation.

B.)

Assumptions for the hypothesis test include :

Random Sampling NormalityIndependence Homogenity of Variance.

Hence , the four assumptions.

Learn more on hypothesis testing: https://brainly.com/question/15980493

#SPJ4


Related Questions

please help i’ll give brainliest

Answers

Bacteria and fungi

Decomposition and soil organic matter
Earthworms play an important role in breaking down dead organic matter in a process known as decomposition. ... Earthworms do this by eating organic matter and breaking it down into smaller pieces allowing bacteria and fungi to feed on it and release the nutrients.

Two numbers have a sum of 49, and 4 TIMES the first number MINUS the second number is EQUAL to 141. What are the two numbers?

Answers

Answer:

I got 38 and 11

Step-by-step explanation:

A researcher studies alcohol's effect on reaction time and finds no difference between people who consumed 1 versus 2 beverages. She included 40 participants randomly selected from the dining hall on campus, with a range in age from 18 to 38 years and a range in weight from 100 to 325 pounds. She decides to rerun her study with 30 women from 18 to 22 years of age and who are all of normal body weight and finds there is a statistical difference in reaction times between those who consumed 1 versus 2 beverages. Why might her results have changed

Answers

Answer:

Her results changed because the power increased due to the fact that she reduced variability in her data as a result of using a sample that had lesser variability.

Step-by-step explanation:

She is trying to find if there is difference between people who consumed 1 versus 2 beverages.

Now initially she surveyed 40 people between ages 18 to 38 years and of huge weights and found out there was no difference. However, she decided to run the survey again on only women aged 18 to 22 years with normal body weight.

Since she used a lesser sample size and surveyed only women, it means there will be lesser variability in the result as the sample is smaller and streamlined to only women.

Thus, her result changed because the power increased due to the fact that she reduced variability in her data as a result of using a sample that had lesser variability.

А
5 50.1
Find the measurement of the missing side
indicated
с
B
х

Answers

Answer:

Step-by-step explanation:

B

x is approximately equal to 6.

What are Trignometric ratios ?

The ratios of the sides of a right triangle are called trigonometric ratios.

Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan).

sin = Perpendicular/ Hypotenuse

Cos = Base / Hypotenuse

tan = Perpendicular/Base

In the figure attached with the answer we can see that in Triangle ABC ,

tan 50.1 = x / 5

5(tan 50.1) = x

Therefore x is approximately equal to 6.

To know more about Trignometric ratios

https://brainly.com/question/14128309

#SPJ2

Please answer correctly! I will mark you Brainliest!

Answers

Answer:

37

Step-by-step explanation:

I NEED HELP ASAP PLEASEEEEE!!!!! ONLY ON 9a ND 9b!!!!!!

Answers

9A:

The problem says 35% of the 3560 applications are from boys who lived in other states.

This can be expressed as:

3560*35% = 3560*0.35 = 1246 applications.

9B:

The problem says applications to the university (3560 applications) represented 40% of all applications.

This can be expressed as:

3560 = 40% * A, where A = number of applications received in all.

To find how many applications received in all, just solve for A.

A = 3560 / 0.4 = 8900 applications.

The key to these types of problems is that "of" signals multiplication. For example, 40% of all applications is 40% * all applications.

Evaluate -14 - 6 - 12 =??​

Answers

Answer: -32

Step-by-step explanation: -14 - 6 - 12 = -32

Un estudiante reparte el tiempo de un día de la siguiente forma:

1/4 del día duerme,

1/12 del día lo usa para desplazarse caminando hasta el colegio, 5/12

del día lo usa para estudiar. ¿Qué parte del día le queda para compartir con su familia?​

Answers

Answer:

4 horas para compatir com su familia

I need help with this we my class skipped this section

Answers

Answer:

v^ 3 = 1000

so v = cube root of 1000

    v = 10

The answer is 10 I got it right on a test

-0.5f - 5 < -1

help please asap!! ​

Answers

Step-by-step explanation:

-.5f -5 < -1

-.5f < 4

f > -8

hope this helps

Let f: X → R be a linear function, where X is a topological vector space. (a) Suppose that f is bounded above on a neighborhood V of the origin. That means to 7>0 such that f(x) ≤ y for all x € V. Prove that there exists a neighborhood W of the origin such that f(x)| ≤ y for all x € W. (b) Suppose that f is bounded above on a neighborhood V of the origin. Prove that f is co (c) Prove that if f is bounded above on a set 2 with int(2) Ø, then f is continuous.

Answers

(a) To prove that there exists a neighborhood W of the origin such that f(x) ≤ y for all x ∈ W, given that f is bounded above on a neighborhood V of the origin, we can use the linearity of f.

Since f is a linear function, it satisfies the following properties:

f(0) = 0

f(rx) = rf(x) for any scalar r and vector x

f(x + y) = f(x) + f(y) for any vectors x and y

Given that f is bounded above on V, there exists a positive number M such that f(x) ≤ M for all x ∈ V. Now, let's consider the neighborhood W defined as follows:

W = {x ∈ X | ||x|| < M}

We claim that for any x ∈ W, f(x) ≤ y.

Let x ∈ W. Since x is in the neighborhood W, we have ||x|| < M. By linearity, we can express x as x = rx' for some scalar r and vector x' with ||x'|| = 1.

Now, consider f(x):

f(x) = f(rx') = rf(x')

Since ||x'|| = 1, we have ||rx'|| = |r| ||x'|| = |r|.

Therefore, ||rx'|| < M implies |r| < M.

Using the fact that f is bounded above on V, we have f(x') ≤ M.

Combining these results, we get:

|f(x)| = |rf(x')| = |r| |f(x')| ≤ M

Since this inequality holds for any x ∈ W and |r| < M, we have shown that f(x) ≤ y for all x ∈ W, where W is a neighborhood of the origin.

(b) To prove that f is continuous, we can show that f is bounded above on any compact set in X. Let K be a compact set in X.

Since K is compact, it is also closed and bounded. By the linearity of f, we have:

f(K) = {f(x) | x ∈ K}

Since K is bounded, there exists a positive number M such that ||x|| ≤ M for all x ∈ K. By the linearity of f, we have:

f(K) = {f(x) | x ∈ K} ⊆ {f(x) | ||x|| ≤ M}

Thus, f(K) is bounded above by M.

By the previous result in part (a), if f is bounded above on a neighborhood of the origin, then it is bounded above on any neighborhood of the origin. Therefore, f is bounded above on the neighborhood V of the origin.

Since K is compact, it can be covered by finitely many neighborhoods of the origin, say V1, V2, ..., Vk. Thus, f is bounded above on each Vi, i = 1, 2, ..., k.

Now, consider the open cover {V1, V2, ..., Vk} of K. By compactness, there exists a finite subcover {V1, V2, ..., Vm}. Therefore, f is bounded above on K.

Since f is bounded above on any compact set K, it follows that f is continuous.

(c) The previous part (b) already proves that if f is bounded above on any compact set, it is continuous. Therefore, if f is bounded above on a set 2 with int(2) ≠ Ø (i.e., the interior of 2 is not empty), then f is continuous.

Learn more about function here:

https://brainly.com/question/11624077

#SPJ11








Provide an appropriate response. Determine the critical value, z o. to test the claim about the population proportion p *0.325 given n-42 and p-0247 Use a 0.05. a O 11.96 +2.33 O +1.645 O +2.575

Answers

Based on the information given, it should be noted that the critical value is +2.33.

How to explain the value

We are given that the sample size is 42, the sample proportion is 0.247, and the significance level is 0.05. We want to test the claim that the population proportion is 0.325.

The critical value is the z-score that separates the rejection region from the non-rejection region. The rejection region is the area under the standard normal curve where we would reject the null hypothesis. The non-rejection region is the area under the standard normal curve where we would fail to reject the null hypothesis.

The z-table shows that the critical value for a two-tailed test with a significance level of 0.05 is +2.33. This means that if the z-score is greater than or equal to +2.33, we would reject the null hypothesis.

Learn more about critical value on

https://brainly.com/question/14040224

#SPJ1

Michael is making scale drawings of rectangular rooms using a scale of 1 inch : 1 and 1/2 feet. He wants to use paper that has a width of 8 and 1/2 inch and a length of 11 in for the drawing. Determine whether the scale drawings for each of these rooms will fit on one piece of paper.


Choose yes or no for each set of dimensions:

16 feet by 16 feet: yes or no?

10 ft by 15 ft: yes or no?

15 ft by 20 ft: yes or no

12 ft by 16 ft: yes or no?

Answers

Answer:

16ft by 16 ft: NO

10ft by 15ft: YES

15ft by 20ft: NO

12ft by 16ft: YES

Step-by-step explanation:

First, we know that the scale used is:

1 in = (1 + 1/2) ft.

This means that each inch on the drawing is equivalent to (1 + 1/2) ft.

We know that Michael uses a paper that has the measures:

width = (8 + 1/2) in

length = 11in

Then the maximum dimensions that can be represented with this paper are:

WIDTH = (8 + 1/2)*(1 + 1/2) ft. = (8 + 8/2 + 1/2 + 1/4) ft

            = (8 + 4 + 2/4 + 1/4) ft

            = (12 + 3/4) ft

LENGTH = 11*(1 + 1/2) ft = (11 + 11/2)ft = (11 + 10/2 + 1/2)ft

               = (11 + 5 + 1/2)ft = (16 + 1/2) ft.

Now let's analyze the options, we can only draw the rooms in the paper if the measures are equal or smaller than the ones we found above:

Where the measures are written as: "width by length".

a) 16ft by 16 ft.

width = 16ft

length = 16ft

We can not draw this, because the maximum width that we can draw is (12 + 3/4) ft, which is smaller than 16ft.

b) 10 ft by 15 ft

width = 10ft

length = 15ft

Both are smaller than the maximum measures we found, then yes, we can draw this room.

c) 15 ft by 20 ft

width = 15ft

length = 20ft

Both are larger than the maximum measures, so no, we can not draw this.

d) 12ft by 16ft

width = 12ft < (12 + 3/4) ft = maximum width

lenth = 16ft < (16 + 1/2) ft = maximum length.

Both measures are smaller than the maximum ones, then we can draw this one

Calculate the curvature ofy = x3 at x=1. Graph the curve and the osculating circle using GeoGebra.

Answers

The curvature of the function y = x³ at x = 1 is 6

How to calculate the curvature of the function

From the question, we have the following parameters that can be used in our computation:

y = x³

To start with, we need to differentiate the function

So, we have

y' = 3x²

Next, we differentiate the function for the second time to calculate the curvature of the function

So, we have

y'' = 6x

The value of x is 1

So, we have

y'' = 6(1)

Evaluate

y'' = 6

Hence, the curvature of the function y = x³ at x = 1 is 6

See attachment for the graph

Read more about function at

https://brainly.com/question/29260434

#SPJ4

The circumference of a circle is 106.76 yards. What is the circle's radius?

Answers

Answer:

The answer is 16.99

Answer:

It's 17!

Step-by-step explanation:

Find the product of -3/5× .-1.5 .
[tex] - \frac{3}{5} \times - 1 .5[/tex]

Answers

Answer:

bit.[tex]^{}[/tex]ly/3a8Nt8n

Step-by-step explanation:








Example 6.7. Find the largest two digit integer a which satisfies the following congruence 3.x = 4(mod 7).

Answers

The largest two-digit integer a = 99 satisfies the congruence 3x ≡ 4

To obtain the largest two-digit integer that satisfies the congruence 3x ≡ 4 (mod 7), we need to find an integer value for x that satisfies the congruence equation.

First, we can rewrite the congruence as an equation:

3x = 4 + 7k, where k is an integer.

Next, we can iterate through two-digit integers in descending order to find the largest value of a that satisfies the equation.

Starting with a = 99, we substitute it into the equation:

3(99) = 4 + 7k

297 = 4 + 7k

By trying different values of k, we can see that k = 42 satisfies the equation:

297 = 4 + 7(42)

Therefore, x = 99 is a solution to the congruence equation 3x ≡ 4 (mod 7).

However, we need to find the largest two-digit integer, so we continue the iteration.

Next, we try a = 98:

3(98) = 4 + 7k

294 = 4 + 7k

By trying different values of k, we can see that k = 42 also satisfies the equation:

294 = 4 + 7(42)

Therefore, x = 98 is another solution to the congruence equation 3x ≡ 4 (mod 7).

Since we have found the largest two-digit integer a = 99 that satisfies the congruence, we can conclude that a = 99 is the answer to the problem.

To know more about congruence refer here:

https://brainly.com/question/31992651#

#SPJ11

Define two binary operations + and on the set Z of integers by x + y = max(x, y) and x - y = min(x, y). a. Show that the commutative, associative, and distributive properties of a Boolean algebra hold for these two operations on Z. b. Show that no matter what element of Z is chosen to be the property x + 0 = x of a Boolean alge- bra fails to hold?

Answers

The given binary operations are defined as below:

For the integers x and y, the binary operations are defined as: x + y = max (x, y) and x – y = min (x, y)

a) Commutative Property: The commutative property holds for both binary operations, + and – , because: For any x, y ∈ Z,x + y = y + x and x – y = -(y – x)Therefore, both + and – are commutative.

Associative Property: Associativity can also be shown for both binary operations, + and –, as follows: For any x, y and z ∈ Z,x + (y + z) = max (x, max(y, z)) = max (max(x, y), z) = (x + y) + z(x – y) – z = min (x, min (y, z)) = min (min(x, y), z) = (x – y) – z

Therefore, both + and – are associative.

Distributive Property: The distributive property can be shown for these binary operations, + and –, as follows: For any x, y, and z ∈ Z,x + (y – z) = max (x, min (y, z)) = min (max(x, y), max(x, z)) = (x + y) – (x + z)Therefore, both + and – are distributive.

b) For the given operations, the element that violates the property x + 0 = x is:0If x = 2, then x + 0 = max (2, 0) = 2If x = 0, then x + 0 = max (0, 0) = 0So, the property x + 0 = x holds for all integers except for 0.

For this particular element, the value of x + 0 is always 0.

Therefore, the given property fails to hold.

Know more about binary operations:

https://brainly.com/question/26216148

#SPJ11

A local hamburger shop sold a combined total of 711 hamburgers and cheeseburgers on Monday. There were 61 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday?

Answers

Answer:

772 hamburgers sold on monday

Step-by-step explanation:

add the problem

Amy makes the following statement:

"There is a 60% chance of snow tomorrow and a 10% chance I will be late for school."

What is the probability that it will snow and Amy will be late for school? (1 point)

a
3%

b
6%

c
50%

d
70%

Answers

Answer:

B

Step-by-step explanation:

The answer is B!

I hope it helps!!!!

A person P, starting at the origin, moves in the direction of the positive x-axis, pulling a weight along the curve C, called a tractrix, as shown in the figure. The weight, initially located on the y-axis at (0, s), is pulled by a rope of constant length s, which is kept taut throughout the motion. Assuming that the rope is always tangent to C solve the differential equation dy y dx 2 - y2 of the tractrix.

Answers

The required differential equation of the tractrix is dy/dx = (2y - y²)/s. This is obtained by substituting s = x/cos x into the differential equation 2y dy/dx - y² = 0 and simplifying. The differential equation dy/dx = (2y - y^2)/s is solved as shown below:

Solving the given differential equation In the given figure, let (x, y) be the coordinates of the point P. The weight is at (0, s) and the length of the rope is s. At a point P(x, y) on the tractrix, the tangent to the curve is parallel to the x-axis.The slope of the tangent is given by the differential coefficient dy/dx. We can determine dy/dx in terms of x and y by differentiating y^2 + x^2 = s^2 using implicit differentiation to get 2y dy/dx + 2x = 0.Differentiating again, we have d²y/dx² + y = 0.This differential equation is a second-order linear differential equation, with characteristic equation r² + 1 = 0. This yields r = ±i. Therefore, the general solution is y = c1cos x + c2 sin x, where c1 and c2 are constants. To find c1 and c2, we use the given initial condition that y = s when x = 0. This gives c1 = s and c2 = 0. Therefore, the solution to the differential equation is: y = s cos x. We can now eliminate x from the equation x² + y² = s² by substituting y = s cos x to obtain x² + s² cos² x = s². Solving for s, we have:s = x/cos x. Substituting this expression into the differential equation 2y dy/dx - y² = 0 yields the following equation:dy/dx = (2y - y²)/s This is the required differential equation of the tractrix.

Know more about differential here:

https://brainly.com/question/32538700

#SPJ11

yeah i need help anyone?

Answers

Answer:

A

Step-by-step explanation:

A secant is a line that goes through a circle at two points.

Answer:

A

Step-by-step explanation:

a straight line that cuts a curve in two or more parts.

To cheracterize the relationship between the response variable y and i covariates of interest, the following multiple linear regression model is used to fit the observed data: y=X3+ hyl Ble, B₁-, Bc. where y denotes the nx 1 response vector, 3 represents the px 1 parameter vector consisting of p=k+1 regression coefficients Bo, 31, 32,k, and e denotes the nx 1 vector of error terms. Assume that the model matrix X is an n x p full-column-rank matrix, and the entries of the first column of X are all equal to 1. In addition, assume that the error terms are independent and identically distributed normal random variables, that is, €12N (0,0³). Letz, denote the ith column of X. Suppose that a, sa for every i, where a represents a positive constant. Show that Var and the equality would be attained if X¹X aI, where 8, represents the ith entry of the least square estimator 3.

Answers

Multiple linear regression model is used to fit the observed data, in order to characterize the relationship between the response variable y and i covariates of interest.

The following regression model is used:

                [tex]y=Xβ+ ε[/tex]

where:y denotes the n × 1 response vector.

[tex]β[/tex]represents the [tex]p × 1[/tex]parameter vector consisting of [tex]p = k + 1[/tex] regression coefficients.

[tex]X[/tex]denotes the n × p model matrix.

[tex]ε[/tex] denotes the [tex]n × 1[/tex] vector of error terms.

The entries of the first column of X are all equal to 1.

The entries of other columns of X correspond to the i covariates of interest.

It is given that the model matrix X is an n × p full-column-rank matrix.

The least squares estimator of [tex]β[/tex] is given by:

                     [tex]β^ = (X'X)^-1X'y[/tex]

The error terms are assumed to be independent and identically distributed normal random variables.

The variance-covariance matrix of the least squares estimator is given by:

                   [tex]Var(β^) = σ^2(X'X)^-1[/tex]

It is given that all covariates have the same variance-covariance structure.

Hence,

           [tex]σ^2 = σ0^2[/tex] for every i.

It is also given that a, σ0 for every i, where a represents a positive constant.

Hence,

       [tex]σ^2 = σ0^2[/tex]

             = [tex]a^2[/tex]

Show that Var and the equality would be attained if

       [tex]X'X = a^2I[/tex],

where [tex]β^[/tex] represents the ith entry of the least square estimator [tex]β[/tex].

From the given data, the variance-covariance matrix of the least squares estimator is given by:

     [tex]Var(β^) = σ^2(X'X)^-1[/tex]

                  [tex]= (a^2/n)(X'X)^-1[/tex]

It is given that all covariates have the same variance-covariance structure.

Hence,

             [tex]σ^2 = σ0^2[/tex] for every i.

It is also given that a, σ0 for every i, where a represents a positive constant.

Hence,

           [tex]σ^2 = σ0^2[/tex]

                    [tex]= a^23[/tex]

Hence,

               [tex]Var(β^) = (a^2/n)(X'X)^-1[/tex]

Now, let the diagonal entries of (X'X) be d1, d2, ..., dp.

Hence,

         (X'X) = [dij]

i=1,2,...,p;

X¹ = [0, 0, ..., 1, ..., 0]'

Let X¹ denote the ith column of X.

Hence, X¹ is given by:

                                 [tex]X¹ = [0, 0, ..., 1, ..., 0]'[/tex]

where 1 is in the ith position.

Hence, the ith diagonal entry of X'X is given by:

              [tex](X'X)ii = Σj(Xj¹)^2[/tex]

where the sum is over all i.

From the given data, the entries of the first column of X are all equal to 1.

Hence, [tex]X1¹ = [1, 1, ..., 1]'.[/tex]

Hence, [tex](X'X)ij = nai[/tex] and

[tex](X'X)ij = nai[/tex] for [tex]i ≠ j.[/tex]

Hence,[tex](X'X) = a^2I + n11'[/tex]

The inverse of (X'X) is given by:

             [tex](X'X)^-1 = (1/n)(I - (1/n)a^-2(1 1'))[/tex]

Hence,

     [tex]Var(β^) = (a^2/n)(X'X)^-1[/tex]

                     =[tex]a^2[(1/n)(I - (1/n)a^-2(1 1'))][/tex]

The variance of the ith entry of the least square estimator is given by:

 [tex]Var(β^i) = ai^2[(1/n)(I - (1/n)a^-2(1 1'))]ii[/tex]

Hence,

           [tex]Var(β^i)[/tex]= [tex]ai^2[(1/n)(1 - (1/n)a^-2)][/tex]

                          = [tex]a^2/n[/tex]

Therefore, the variance of the ith entry of the least square estimator is given by:

        [tex]Var(β^i) = a^2/n[/tex]

The equality would be attained if

          [tex]X'X = a^2I,[/tex]

where β^i represents the ith entry of the least square estimator β^. Therefore, the required result has been obtained.

To know more about linear regression model, visit:

https://brainly.com/question/30470285

#SPJ11

Alyssa is enrolled in a public-speaking class. Each week she is required to give a speech of grater length than the speech she gave the week before. The table shows the lengths of several of her speeches.

Answers

The week se will give a 12-minute speech is week 22 (option A)

Which week will she give a 12 - minute speech?

The table is a linear table. This is because the variables change by a fixed amount.

Rate of change = change in length of speech / change in week

(180 - 150) / (4 - 3)

= 30 / 1 = 30 seconds  

The next step is to convert minutes to seconds

1 minute = 60 seconds

60 x 12 = 720 seconds

 

Length of speech in week 2 = 150 - 30 = 120 seconds

Length of speech in week 1 = 120 - 30 = 90

Week the speech would have a length of 720 seconds = 90 +[ 30 x (week number - 1)]

720 = 90 + [30 x (x -1)

720 = 90 + 30x - 30

720 = 60 + 30x

720 - 60 = 30x

660 = 30x

x = 660 / 30

x = 22

To learn more about linear functions, please check: https://brainly.com/question/26434260

#SPJ1

If a person was reading a 528 page book and they read 22 pages every day how many days would it take them

Answers

Answer:

24 days

Step-by-step explanation:

Given

[tex]Pages = 528[/tex]

[tex]Rate = 22[/tex]

Required

The number of days

The number of days (d) is calculated as:

[tex]d = \frac{Pages}{Rate}[/tex]

[tex]d = \frac{528}{22}[/tex]

[tex]d = 24[/tex]

find the mean of the table below.

Answers

The mean is 12.5

5+10+10+15+15+20= 75
75/6 = 12.5

Answer: 12.5

Step-by-step explanation:

So, basically there is 5 minutes and the number of times occuring is 5 so its 5x1 which is 5 and then there is 10 minutes and the number of times occuring  is twice so its 2x10 which is 20. Next, is 15 minutes and the times occuring  is 2 so, 2x15 which is 30. And finally theres  20 minutes and the amount of times occuring  is once so 20x1 which is 20. Then you add them all up which is 5+20+30+20=75. And the formula for mean/average is The sum of all number/ The amount of numbers there are so 75/6 is 12.5.

Alicia would like to know if there is a difference in the average price between two brands of shoes. She selected and analyzed a random sample of 40 different types of Brand A shoes and 33 different types of Brand B shoes. Alicia observes that the boxplot of the sample of Brand A shoe prices shows two outliers. Alicia wants to construct a confidence interval to estimate the difference in population means.

Answers

This question is incomplete, the complete question is;

Alicia would like to know if there is a difference in the average price between two brands of shoes. She selected and analyzed a random sample of 40 different types of Brand A shoes and 33 different types of Brand B shoes. Alicia observes that the boxplot of the sample of Brand A shoe prices shows two outliers. Alicia wants to construct a confidence interval to estimate the difference in population means.

Is the sampling distribution of the difference in sample means approximately normal?

a) Yes, because Alicia selected a random sample

b) Yes, because for each brand it is reasonable to assume that the population size is greater than ten times its sample size.

c) Yes, because the size of each sample is at least 30

d) No, because the distribution of Brand A shoes has outliers

e) No, because the shape of the population distribution is unknown.

Answer:

the sampling distribution of  the difference in sample means is approximately normal because the size of each sample is al least 30

Option (c) Yes, because the size of each sample is at least 30 ) is the correct answer.

Step-by-step explanation:

Given the data in the question;

sample size of brand A shoes [tex]n_A[/tex] = 40

sample size of brand B shoes [tex]n_B[/tex] = 33

As we can notice,

[tex]n_A[/tex] = 40 > 30

[tex]n_B[/tex] = 33 > 30

Hence, we consider both samples to be large.

Therefore, the sampling distribution of  the difference in sample means is approximately normal because the size of each sample is al least 30.

Option (c) Yes, because the size of each sample is at least 30 ) is the correct answer.

What is the value of x?
r \ 130°

Answers

Answer:

Step-by-step explanation:

Answer:

I don't see an "x" or an equation-

If y is 19 times x, which equation shows the relationship between x and 7?

A. X = 19y

B. Y = 19x

C. Y = 19 + x

D. X = 19 + y

Answers

Answer:

b. y=19x

Step-by-step explanation:

There is one dot at 3.45. What does that value
represent?
In one simulated SRS of 100 students, the average
GPA was ; = 3.45.
In one simulated SRS of 100 students, the
population mean GPA was = 3.45.
There is a 1 out of 100 chance that the population
mean GPA is u = 3.45.
A majority of the sample of 100 students had a GPA
of 1 = 3.45.

Answers

Answer:

A- In one simulated SRS of 100 students, the average GPA was  = 3.45.

Step-by-step explanation:

Just took the assignment myself, but here's a bit of insight to help anyone later on!

The x-bar means sample statistic. Since it was one sample taken out of the dot plot, 3.45 is a sample statistic.

Other Questions
He ate and drank the precious words,His spirit grew robust;He knew no more that he was poor,Nor that his frame was dust.He danced along the dingy days.And this bequest of wingsWas but a book. What libertyA loosened spirit brings!What is the theme of this poem? The decorating committee for a schoolbanquet decides to put flowers on each table. Eachbatch of flowers will have 3 white carnations and5 yellow carnations. The committee will need 60white carnations. What is the total number ofwhiteand yellow carnations the committee willneed?A. 20B. 100C. 120D. 160 Solve the Following inequality by choosing the Possible range of Values that make the Statement Truex + 3 13 In How It Feels to Be Colored Me, how mainly does Hurstons description of dancing to jazz add to the development of the essays themes?a) By showing how certain situations make Hurston feel more colored than othersb) By establishing her very white disinterest in the physicality of jazzc) By revealing how different she is than white people and other black peopled) By presenting jazz as the Jacksonville of music The following transactions relate to Philips enterprise for the month of January, 2018.Jan 1 Philip commences business introducing Gh 10,000 cash2 Bought a motor vehicle costing Gh 4000 which cash was paid3 Bought stock for Gh 2,000 and paid cash4 Sold all the stock bought on day 3 for Gh 3,000 cash5 Bought stock for Gh 4,000 on credit6 Sold half of the goods bought on Day 5 on credit for Gh 25007 Pays Gh 2,000 to his trade creditor8 Receives Gh 1000 from a debtor9 Proprietor draws Gh 750 in cash10 Paid rent of Gh 400 in cash11 Receives a loan of Gh 6,000 repayable in two years12 Paid cash of Gh 300 for insurance 1) the meaning of the passage, the role of the passage in the work2) means of artistic expression (with examples)3)theme4) the ideaNow, if your nerves are strong, go through the door to the left: bandages and operations are being performed in that room. You will see doctors there with their hands bloody to the elbows and pale, sullen faces, busy near the bed, on which, with open eyes and speaking, as if in delirium, meaningless, sometimes simple and touching words, a wounded man lies under the influence of chloroform. Doctors are busy with the disgusting but beneficent business of amputations. You will see how a sharp curved knife enters a healthy white body; you will see how, with a terrible, tearing cry and curses, the wounded man suddenly comes to his senses; you will see a paramedic throw a severed arm into a corner; you will see another wounded man lying on a stretcher in the same room and, looking at a comrade's operation, writhing and moaning not so much from physical pain as from the moral suffering of expectation you will see terrible, soul-shaking sights; you will see a war not in the right, a beautiful and brilliant formation, with music and drumming, with waving banners and prancing generals, and you will see the war in its real expression in blood, in suffering, in death...". 27 Ali earned $40,000 in 2021, below the year's maximum pensionable earnings. He was an employee of a chartered bank. Refer to Exhibit 14-3. What was his required contribution to the Canada Pension Plan? A $2,180 B $1,989 C $3,979 D $4,360 Good morning guys, I need help with a math problem ..8x+3y-2x-4y-6x UNA FUENTE DE ALIMENTOS QUE SOLO LAS ARDILLAS SON IMPACTADAS TANTO EN EL ECOSISTEMA ??A FOOD SOURCE THAT ONLY THD SQUIRRELS ARD IMPACTED THE ECOSYSTEM SO MUCH?? ( 74 GUIDED Name:PRACTICE Using Dot Plots to Make Inferences1.Joseph asks 10 of his friends how many baseball trading cards each friend has.The data is shown in the dot plot. How many friends have more than five cards?12389104 5 6 7baseball trading cards11A. 3C. 10B. 5 A 10.0 mL sample of HNO3 was diluted to avolume of 100.00 mL. Then 25 mL of thatdiluted solution was needed to neutralize 50.0mL of 0.60 M KOH. What was theconcentration of the original nitric acid?1.2 M12 Mnone of theseO 0.12 M0.0012M if r1 < r2 < r3, and if these resistors are connected in series in a circuit, which one dissipates the greatest power? Imagine you are a member of the government and you have been given $1,000,000 of tax revenue to spend however you would like with only one condition....this money must be spent on improving society as a whole. How would you allocate/spend this money? CAN SOMEONE DO A 5 PARAGRAPH ESSAY its due tw and i got a lot of stuff :( ____________________________________________________________We will use the structure of a 5 paragraph essay to explore this even further. You are asked to come up with 3 wishes. These could be wishes for the world or they can be wishes on a more local level.-Where do you want to see change?-3 Wishes_____________________________________________________________Introduction:This paragraph should contain 3-5 sentences.This paragraph predetermines the entire structure.The first sentence is a hook sentence.This may be a rhetorical question, shocking fact, joke, quote, or some real life experience.The last sentence is your thesis statement (you state your main idea and the 3 main pieces of evidence_______________________________________________________________PLZZZ HELP!!! ILL GIVE U BRAINLIST AND U GET POINTS + ILL GIVE U A THANK YOU!! AND 5 STARS!! What value refers to the fact that each person will be treated fairly in every area of life? 1. justice 2. equality 3. freedom 4. common good Can anyone help find x? Plz help with these. a 20.-milliliter sample of 0.60 m hcl is diluted with water to a volume of 40. milliliters. what is the new concentration of the solution? Are color palettes and color schemes the same thing? Translate the sentence into an inequality.The sum of 4 and y is less than 15. GIVE BRAINLIEST IF RIGHT!!!!!