Using the same scenario as above, but now you do not know the population variance. You collect a random sample of n = 21 cereal boxes and find the sample mean is 12.8 and the sample standard deviation to be 0.5. Test the null hypothesis H0: µ = 13 against the alternative hypothesis HA: µ < 13 at level of significance α = 0.01.

Required:
a. Find the test statistic.
b. Using the rejection region, do you reject or not reject the null hypothesis?
c. Find the p-value.
d. Using the p-value, do you reject or not reject the null hypothesis?
e. In context of your problem, what is your conclusion about the ounces contained in cereal boxes?

Answers

Answer 1

Answer:

-1.833 ; we do not reject the Null.

Pvalue = 0.0409 ; We do not reject the Null

There is no significant evidence to conclude that the number of ounces contained in the cereal boxes is less than 13

Step-by-step explanation:

H0 : μ = 13

HA : μ < 13

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(12.8 - 13) ÷ 0.5/sqrt(21)

-0.2 / 0.1091089

= - 1.833

The critical value at α = 0.01 ; df = 21 - 1 = 20 = 2.528

-1.833 > - 2. 528 (left tailed test) ; Hence we do not reject the Null.

Test statistic :

Pvalue from Test statistic at DF = 20 ; α = 0.01

Pvalue = 0.0409

Pvalue > α

0.0409 > 0.01 ; Hence, we do not reject H0.

There is no significant evidence to conclude that the number of ounces contained in the cereal boxes is less than 13


Related Questions

The student body president of a high school claims to know the names of at least 1000 of the 1800 students who attend the school. To test this claim, the student government advisor randomly selects 100 students and asks the president to identify each by name. The president successfully names only 46 of the students. Identify the population and parameter of interest.

Answers

Answer: Population = Total students attend the school.

Parameter = Proportion of students named by president correctly.

Step-by-step explanation:

Population for a particular study is the largest possible group of individuals that are essential to be considered.

Parameter = measure of characteristic in a population.

By the above definition, we have

Population = Total students attend the school(1800).

Parameter = Proportion of students named by president correctly.

Pleas help with this

Answers

The answer is on quizlets look ot up

Pleaseeee helpppp meeee

Answers

Hi
Step-by-step explanation
1 pantbrush —————— 5,2x10^-3 kg
750 paintbrushes ——— x

x= 750 x 5,2x10^-3= 3,9kg

The DrJocker



A car travels 30
303
miles in
of an hour. What is the average speed, in miles per hour,
of the car?

Answers

Answer:

45.3 miles/h

Step-by-step explanation:

let 'x' be the speed of the car.

60 × 2/3 = 120/3 = 40

30 × 1/5 = 151/5

151/5 /40 = x / 60

151 / 200 = x / 60

=> x = (151×60) / 200

=> x = 45.3

if this helps can I pls get a brainliest?

ANSWER ASAP PLEASEEEE SKSKSSKS
Which number is irrational?
A. 9
B. 10
C. 16
D. 25
E. 36

Answers

Answer:

pretty sure its 9

[tex] \sqrt{9 = + 3} [/tex]

Please Help!!

Jacqui has 162 trading cards. She buys 25 more trading cards. Then, she puts her trading cards into a binder. Each page of the binder holds 9 cards.
After filling as many pages as she can, Jacqul gives the rest of the trading cards to her brother.
How many trading cards does Jacqui give to her brother?

Enter the answer in the box.
trading cards

Answers

Are you given how many pages are in the binder?

Answer choices- 4, 64, 240, 116, 68, 105, 480, 400 (20 points)​

Answers

Esa sería la respuesta a tu pregunta

Chloe wants to buy soda for a party. He buy a case of 24 cans or he can buy 4 six-packs of cans. The case costs $8.44 and each six-pack costs $2.85. Which is the better buy?

Answers

Answer:

the can that costs 8.44 is a better buy

Step-by-step explanation:

Answer:

the 24 can pack

Step-by-step explanation:

2.85 x 4 = 11.4

$11.4 is more expensive than $8.44

question in picture(explain if u can it helps alot)

Answers

Answer:

4z + 2q

Step-by-step explanation:

there is 4 "z" and 2 "q"

Answer:

4z+2q

Step-by-step explanation:

combine like terms

combine all the z’s and all the q’s

I need to find the measure of

Answers

Answer:

so it would be 5+20

Step-by-step explanation:

Find the Domain and Range

Answers

Answer:

See explanation below

Step-by-step explanation:

Domain =  [tex]-7\leq x\leq infinity[/tex]

Range = [tex]-1<y<infinity[/tex]

Domain refers to the set of x values of the graph, while range refers to the set of y values of the graph.

Find each trig ratio.

Answers

Answer:

a) 12/13

b) 5/13

Step-by-step explanation:

sin k = 12/13

cos k = 5/13

Warren has a container which holds 22 books of the same shape and size. The exact breakdown of his books is shown below:

6 white books
9 purple books
7 green books
Each time, Warren takes out a book at random. He will replace the book and take out another book from the container. What is the probability that Warren takes out a green book in both draws? (3 points)

a
7 over 22 multiplied by 7 over 22 equal 49 over 484

b
7 over 22 multiplied by 6 over 21 equal 42 over 462

c
7 over 22 plus 6 over 21 equal 279 over 462

d
7 over 22 plus 7 over 22 equal 308 over 484

Answers

Given:

Total number of book = 22

Number of white books = 6

Number of Purple books = 9

Number of green books = 7

To find:

The probability that Warren takes out a green book in both draws (with replacement).

Solution:

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]P(\text{White})=\dfrac{6}{22}[/tex]

[tex]P(\text{Purple})=\dfrac{9}{22}[/tex]

[tex]P(\text{green})=\dfrac{7}{22}[/tex]

After replacement, the probability of event remains the same and the independent.

The probability that Warren takes out a green book in both draws is:

[tex]P=P(\text{green})\times P(\text{green})[/tex]

[tex]P=\dfrac{7}{22}\times \dfrac{7}{22}[/tex]

[tex]P=\dfrac{49}{484}[/tex]

Therefore, the correct option is (a).

A boat can travel 40mph in still water. If it travels 126 miles with the current in the same length of time it travels 114 miles against the current, what is the speed of the current?
no links please

Answers

Answer:

rate of the current = 2 mph

Step-by-step explanation:

d = rt

Let c = rate of the current

Rate going downstream = c + 40

Time going downstream = 126/(40 + c)

Rate going up stream =  40 - c

Time going upstream = 114/(40 - c)

Since the times are equal, then

126/(40 + c) = 114/(40 - c)

126(40 - c) = 114(40 + c)

5040 - 126c = 4560 + 114c

   240c  =  480

          c = 2 mph

Two similar triangles have heights of 8 and 20. The area of the larger triangle
is 150. Find the area of the smaller triangle.

Answers

Answer:

60

Step-by-step explanation:

the question is based on similarity and enlargement

firt thing put the velues to ratio form;8;20

simplify to obtain2:5 as your linear scale factor...

if 5:150

2=?

2*150/5=60

HELP Easy math easy points look at the photo

Answers

Answer:

x = 60

Step-by-step explanation:

33 + 87 + 60 = 180

:))

Answer:

x = 60

Step-by-step explanation:

Evaluate(8−3i)(3+2i)​

Answers

Answer:

The answer is 30+7i.

Step-by-step explanation:

Imaginary Number Definition

[tex]\large\boxed{{i=\sqrt{-1}}}[/tex]

Simply evaluate like how you evaluate polynomials. Expand the expression in.

[tex]\large{(8-3i)(3+2i)=[(8*3)+(8*2i)]+[(-3i*3)+(-3i*2i)]}\\\large{(8-3i)(3+2i)=(24+16i)+(-9i-6i^2)[/tex]

Therefore, our new expression when cancelling out the brackets is:

[tex]\large\boxed{24+16i-9i-6i^2}[/tex]

Imaginary Number Definition II

[tex]\large\boxed{i^2=-1}[/tex]

Therefore, substitute or change i² to -1

[tex]\large{24+16i-9i-6(-1)}\\\large{24+7i+6}\\\large{30+7i}[/tex]

Complex Number Definition

[tex]\large\boxed{a+bi}[/tex]

Where a = Real Part and bi = Imaginary Part.

Therefore, it's the best to arrange in the form of a+bi.

Hence, the answer is 30+7i.

What is 5 to the second power plus 4

Answers

Answer:

29

Step-by-step explanation:

5^2 = 25

25 + 4 = 29

the correct answer would be 29

write an exponential formula of the form f (t)=a×b^t to represent the following situation. assume t is in years. an investment of $11,500 triples every 14 years. round your values to the three decimal places. f(t)=________​

Answers

Answer

[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]

Explanation

Given

[tex]a = 11500[/tex] -- initial

[tex]b = 3[/tex] ---- every 14 years

Required

The exponential equation

The exponential equation is:

[tex]y =ab^T[/tex]

First, calculate the yearly rate.

Triples every 14 years, implies that:

[tex]b = 3[/tex] -- the rate

[tex]T=\frac{t}{14}[/tex] ---- time

So:

[tex]y =ab^t[/tex]

[tex]y = 11500 * (3)^{\frac{t}{14}}[/tex]

Hence:

[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]

Pls help with this ASAP :)

Answers

Answer:

No Solution

Step-by-step explanation:

-8x - 2(7+2x) = -6(2x+5)

-12x - 14 = -12x - 30

-14 = -30, False

No Solution

No Solution is the Answer

Since Spring started, Kareem has been surveying the growth of leaves on his neighborhood trees. He goes out every day and computes the average number of leaves on a sample of trees. He created a scatter plot where the y-axis represents the average number of leaves on the trees, and the x-axis represents the number of weeks since Spring started.

Write a linear equation in slope-intercept form that can be used to approximate the data distribution using the two data points labeled on the best fit line.

Answers

Answer:

y=1x-b is thou answer

Answer:

um yeah i have that question but it isnt right?

Step-by-step explanation:

I dont know why it didnt work :(

A lawn service owner is testing new weed killers. He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications. Construct a 90% confidence interval for p, the true proportion of weeds killed by this particular brand. what is the upper confidence limit for p

Answers

Answer:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.

This means that [tex]\pi = 0.89, n = 60[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 + 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.9564[/tex]

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Answer:

Answer:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.

This means that

90% confidence level

So , z is the value of Z that has a pvalue of , so .

The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564

Step-by-step explanation:

30. find the value of x
(7x + 10) (11x - 6)

Answers

This is the answer I hope it’s correct

A grocery store sells a bag of 5 lemons for $3.00. What is the unit cost of each lemon in the bag?

Answers

Answer:

the unit cost of each lemon is $0.60

Step-by-step explanation:

divide 3.00 by 5 to get 0.6

What is the surface area of the container?
A.
1,228 sq cm
B.
1,636 sq cm
C.
219 sq cm
D.
818 sq cm

Answers

Answer:

the correct answer is B

Step-by-step explanation:

got it right!!!!

MY STORE is selling $30 jeans for $15. What is the discount percentage?​

Answers

Answer:

50% off

Step-by-step explanation:

15 is half of 30 so it would be 50%

15/30 = 0.5
Convert 0.5 to a percentage.
0.5 = 50%
Answer: 50%

Good luck!

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
28 cm
Estimate the area of the circle. Use 3.14 or 22/7 for pie

Answers

Answer:

if 28 cm is the radius then:

area = 2461.76 cm²

if 28 cm is the diameter then:

area = 615.44 cm²

Step-by-step explanation:

area = πr² = (3.14)(28²) = 2461.76 cm²

Which situation is a result of focal policy
O A A Corporationis fines for violating regulations.
3. A school gets more money to buy computers,
O C. A bank offers a loan to a small business.
D. A consume hes limites options for food at a store

Answers

Point D
I believe so

please answer asap! no scam links or scam comments or reported.

Answers

It’s A!! Because you’re adding 25 for every 5 :)

Answer:

A

Step-by-step explanation:

Given the angles in the diagram below, what is mZ2?

Answers

Answer:

98

Step-by-step explanation:

Hello There!

The angle that has a measure of 82 degrees and the angle labeled "2" are supplementary angles.

This meaning that the sum of the two angles is 180

So to find the missing angle (2) we subtract the given angle (82 in this case) from 180

so ∠2 = 180 - 82

180 - 82 = 98

Hence, the answer is 98°

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