If an analyst wants to estimate the mean for an entire population (μ), the estimate would be more accurate if the analyst computed the sample mean.
If an analyst wants to estimate the mean for an entire population (μ), the estimate would be more accurate if the analyst computed the sample mean.
What is a population?In statistics, a population is a complete set of events that a statistician desires to investigate. A population is a collection of individuals, items, or data points that have a specific attribute of interest to the analyst.
What is an estimate? An estimate is an approximation of an unknown quantity that is dependent on imperfect or incomplete information. In statistics, an estimate is a projection of a population parameter dependent on data collected from a sample. An estimate is a numerical value generated from a statistical formula that is intended to provide an approximate value for an unknown population parameter.
What is an analyst?An analyst is an individual who examines a company or business's financial and business data to evaluate their health and determine their future development.
What does it mean to estimate the mean for an entire population?In statistics, estimating the mean for an entire population entails using a sample of data to calculate an approximate value of the mean for the entire population. The mean is the numerical value that provides information about the data set's central tendency. The analyst should choose a representative sample of the population to ensure the estimate is accurate.
What is the best way to estimate the mean of the entire population?
The estimate would be more accurate if the analyst computed the sample mean. The sample mean is an estimate of the population mean, denoted as μ. Sample mean is the average of the sampled data, and it is computed as follows;$$\overline{x}=\frac{\sum_{i=1}^{n}x_i}{n}$$
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If an analyst wants to estimate the mean for an entire population (μ), the estimate would be more accurate if the analyst computed the mean of a larger random sample.
A random sample is a method of selecting a subset from the entire population. It should be such that every member of the population has an equal chance of being chosen.
The sample should be sufficiently large and representative of the population as a whole to make reasonable inferences regarding the population. The mean value computed from a sample is used as an estimate of the true population mean. The sample mean is a random variable that can fluctuate from one sample to the next, depending on the sample that is taken. It has a standard deviation, called the standard error of the mean, that can be calculated using the following formula:standard error of the mean = standard deviation of the population / square root of the sample size.The larger the sample size, the smaller the standard error of the mean, and hence the more accurate the estimate of the population mean will be.
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A recent stocktake measured the price of BBQs at a large hardware store. From the stocktake, it was determined that the price was normally distributed with a mean of 500 dollars and a standard deviation of 50 dollars. Twenty per cent of the BBQs would cost more than what price? Select from the answers below.
575.5
542
526
459
The price at which twenty percent of the BBQs would cost more is $542 and it follows a normal distribution.
In this case, we are given that the price of BBQs at a large hardware store follows a normal distribution with a mean of $500 and a standard deviation of $50. We want to find the price at which twenty percent of the BBQs would cost more.
To solve this problem, we need to find the value, denoted as x, for which 20% of the BBQs are priced higher. This can be done by finding the z-score corresponding to the 20th percentile and then converting it back to the original scale.
The z-score is calculated using the formula:
z = (x - μ) / σ,
where μ is the mean and σ is the standard deviation.
To find the z-score corresponding to the 20th percentile, we can use a standard normal distribution table or a statistical calculator. The z-score corresponding to the 20th percentile is approximately -0.84.
Now we can use the z-score to find the corresponding value in the original scale:
-0.84 = (x - 500) / 50.
Solving for x, we get:
-0.84 * 50 = x - 500,
-42 = x - 500,
x = 500 - 42,
x = 458.
So, twenty percent of the BBQs would cost more than $458. However, since we need to choose from the given options, the closest price to $458 is $459.
Therefore, the answer is $459.
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Martina runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?
Answer:
4.2 miles
Step-by-step explanation:
Martina runs 6 miles in 50 minutes, we have to find the rate at which she is running. Put it in a fraction [tex]\frac{6}{50}[/tex] or she runs 6 miles every 50 minutes. When we divide we get that she is running, 0.12 miles evrey minute. The question askes us how far Matina will run in 35 minutes, so we multiply 0.12 by 35, and we get that she will run 4.2 miles.
Mother put 22 apples in each basket. How many baskets did she use for 390 apples?
Answer:
To find the no. of baskets used to put 390 apples we have to divide 390/22 which is 17.7272727273,
so to put 390 apples we need approximately 18 baskets.
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Hey I'm Chloe Can you Help Me, I will give Brainlest, Thank you :)
Stefan sells Jin a bicycle for $104 and a helmet for $17. The total cost for Jin is 110 % of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
Stefan spent 108.9$ and made 12.1$
Step-by-step explanation:
Hey I'm Aiden I can help you, I will take Brainlest, Your welcome :)
take 10% of 121 and subtract it from 121 and you get the price he paid and made
PLEASE HELP ME ASAP I SWEAR IT WOULD BE A BIG HELP.
Jethro has sat 5 tests.
Each test was marked out of 100 and Jethro's mean mark for the 5 tests is 74
Jethro has to sit one more test that is also to be marked out of 100
Jethro wants his mean mark for all 6 tests to be at least 77
Work out the least mark that Jethro needs to get for the last test.
This paper will discuss the mathematics involved in determining the least mark that Jethro needs to get for the last test in order to end up with a mean mark of 77 over all 6 tests.
Jethro has sat 5 tests and each test was marked out of 100. Therefore, Jethro’s marks for the 5 tests can be represented by x1, x2, x3, x4, and x5. Jethro’s mean mark for the 5 tests is 74, which can be represented by the mathematical equation: (x1 + x2 + x3 + x4 + x5) / 5 = 74.
Jethro needs to sit one more test that is also marked out of 100 and he wants his mean mark for all 6 tests to be at least 77. Therefore, the least mark that Jethro needs to get for the last test can be found by rearranging the equation to: (x1 + x2 + x3 + x4 + x5 + x6) / 6 = 77. This can be written in its simplified form as: 6x6 = 77(x1 + x2 + x3 + x4 + x5).
In order to find the least mark that Jethro needs to get for the last test, x6, the other terms must be known. Since Jethro has already sat the 5 tests the marks for these tests are known, so they can be added together. This results in: x6 = 77(x1 + x2 + x3 + x4 + x5) / 6. Therefore, Jethro needs to get a mark of at least 77.6 (rounded to the nearest tenth) on the last test in order to end up with a mean mark of 77.
A birthday cake is being made using a cylindrical baking pan. The radius of the pan is 4 inches, and the height is 5 inches.
Which formula represents the correct way to calculate the volume of the cake?
O V = (4)(5)
O V = r(4)(5)
O V = $(5) (4)
O V = $(4)?(5)
Answer:
the formula represent the correct way is π(4)^2 (5)
Step-by-step explanation:
The formula that represent the correct way to calculate is given below:
As we know that
Volume = πr^2 h
where
r denotes the radius i.e. 4 inches
And, h denotes the height i.e. 5 inches
Now placed these values to the above formula
So,
= π(4)^2 × 5
= 80π in^3
Hence, the formula represent the correct way is π(4)^2 (5)
Answer: the answer is D.
Step-by-step explanation:
Rewrite the expression in the form x^n
Answer:
[tex]x^{\frac{5}{3} }[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} *\frac{5}{2} \\\\\frac{5}{3}[/tex]
Prove the following is equivalent: n* (n-1 C 2) = nC2 * (n − 2) .
The equivalence of the expressions n × ([tex]{}^{(n-1)}C_2[/tex]) and [tex]{}^nC_2[/tex] × (n − 2) has been proven mathematically.
To prove the equivalence of the expressions n × ([tex]{}^{(n-1)}C_2[/tex]) and [tex]^{n}C_2[/tex] × (n − 2), we can demonstrate that they yield the same result.
First, let's simplify each expression:
n × ([tex]{}^{(n-1)}C_2[/tex]) = n × [(n-1)! / 2!(n-1-2)!]
= n × [(n-1)! / 2!(n-3)!]
= n × [(n-1)(n-2) / 2]
= n × (n² - 3n + 2) / 2
= (n³ - 3n² + 2n) / 2
[tex]{}^nC_2[/tex] × (n − 2) = [n! / 2!(n-2)!] × (n-2)
= [n! / 2!(n-2)!] × (n-2)
= [(n)(n-1)(n-2)! / 2!(n-2)!] × (n-2)
= [(n)(n-1)] / 2
= (n² - n) / 2
By comparing the two simplified expressions, we can see that (n³ - 3n² + 2n) / 2 is equal to (n² - n) / 2.
Hence, we have proven that n × ([tex]{}^{(n-1)}C_2[/tex]) is equivalent to [tex]{}^nC_2[/tex] × (n − 2).
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Hello!
What's Eri's teddys name?
Answer:
Werid I don’t know
Step-by-step explanation:
Find the mean of the following probability distribution? Round your answer to one decimal.
x 0,1,2,3,4
P(x) 0.0017, 0.3421, 0.065, 0.4106, 0.1806
mean = ___
The mean of the given probability distribution is 2.4.
To find the mean of a probability distribution, we multiply each value of x by its corresponding probability and then sum them up. Using the provided data:
x: 0, 1, 2, 3, 4
P(x): 0.0017, 0.3421, 0.065, 0.4106, 0.1806
mean = 0(0.0017) + 1(0.3421) + 2(0.065) + 3(0.4106) + 4(0.1806)
= 0 + 0.3421 + 0.13 + 1.2318 + 0.7224
= 2.4263
Therefore, the mean of the given probability distribution is approximately 2.4 (rounded to one decimal place).
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A person visits the store and picks up five kg vegetables for did he buy?
£6.25. Which vegetable
Tomato - £1.50 per kg Carrot - £1.75 per kg Cabbage - £2 per kg Beetroot - £1.25 per kg
Which number line shows - graphed?
Answer:
The second one down is the answer
Step-by-step explanation:
Should i trust the links people say "Their is an imagine in this link that contains the answer" usually these links are from sus profiles. So should i use it or no?
Answer:
no don't ever click on links okay.
Step-by-step explanation:
Show all steps please!
Suppose you are told that 3.59% of Wendigos are less than 273cm tall while only 4.01% are taller than 326.25 cm tall. Find the mean and standard deviation of the heights of Wendigos.
The mean of the heights of Wendigos ≈ 302.523 cm, and the standard deviation ≈ 14.165 cm.
To obtain the mean and standard deviation of the heights of Wendigos, we can use the information given about the percentiles.
Let's denote the mean as μ and the standard deviation as σ.
Step 1: Finding the Z-scores
First, we need to find the Z-scores corresponding to the given percentiles.
For the lower percentile:
Z = (X - μ) / σ = -1.880
For the upper percentile:
Z = (X - μ) / σ = 1.880
Step 2: Finding the corresponding values using Z-scores
Next, we need to find the values corresponding to the Z-scores using a standard normal distribution table or a calculator.
For the lower percentile:
Z = -1.880 corresponds to a cumulative probability of 0.0359
For the upper percentile:
Z = 1.880 corresponds to a cumulative probability of 0.9601
Step 3: Calculating the values
Using the cumulative probabilities obtained, we can find the corresponding values.
For the lower percentile:
X = Z * σ + μ
273 = -1.880 * σ + μ
For the upper percentile:
X = Z * σ + μ
326.25 = 1.880 * σ + μ
Step 4: Solving the equations
We now have a system of equations with two unknowns (μ and σ).
273 = -1.880 * σ + μ (Equation 1)
326.25 = 1.880 * σ + μ (Equation 2)
We can solve this system of equations to find the values of μ and σ.
Subtracting Equation 1 from Equation 2, we get:
326.25 - 273 = 1.880 * σ + μ - (-1.880 * σ + μ)
53.25 = 3.760 * σ
Dividing both sides by 3.760, we get:
σ ≈ 14.165
Substituting this value of σ into Equation 1, we can solve for μ:
273 = -1.880 * 14.165 + μ
273 + 1.880 * 14.165 = μ
μ ≈ 302.523
Therefore, mean is approximately 302.523 cm, and the standard deviation is approximately 14.165 cm.
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no links
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8. The auditorium can hold a maximum of 110 people. The drama club must make at least $570 from ticket sales to cover the show's costs. Also, they must sell at least 20 student tickets and a maximum of 70 adult tickets. If xx represents the number of student tickets sold and yy represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
hgfxjdt
Step-by-step explanation:
A woman bought a bag of rice 5700 naira and in 3 weeks later, she could only buy 2/4 of the bags for 5700 naira. Find the percentage?
Answer: 100% increase
Step-by-step explanation:
You need the find the cost per bag in those weeks.
Three weeks ago, she could buy a bag for N5,700.
Three weeks after that, she could only buy half a bag for the same amount. A bag therefore costs:
= 5,700 ÷ 2/4
= N11,400
The percentage increase is:
= (11,400 - 5,700) / 5,700
= 100%
Factor 9z^2 - 6x +1.
pls will mark you brainiest
Answer:
It is not factorable
Step-by-step explanation:
The expression is not factorable with rational numbers.
Answer:
This is not factorable.
Step-by-step explanation:
This is not factorable.
Stop and Shop sells 6 cases of Pepsi for $21.60. What is the constant of proportionality?
Answer: $3.60 per case
Step-by-step explanation: $21.60 divided by 6 = 3.60
If p(x)= 2^x, what is the value of p(3) - p(2)?
Answer:
4
Step-by-step explanation:
p(3) = 2³ = 8
p(2) = 2² = 4
8-4 = 4
What is your dream career and why ?
Answer:
Step-by-step explanation:
Professional dancers cause I’ve danced since I was 3 and I’ve always wanted to do it. And I wanna model on the side
Answer:
Detective/Forensics scientist
Step-by-step explanation:
I want to be a detective/ forensic scientist because I am interested in science and investigating.
MARKING BRAINLIEST TO FIRST PERSON WHO IS CORRECT!
I need help with #13
Answer:
True
False
False
Step-by-step explanation:
answer easy question quick
Answer:
Step-by-step explanation:
a) 9.80- 98/10
b) 7.3- 73/10
a) 7/100- 0.07
b) 82/10- 8.2
Hope this helps
Fraction:
a) 98/100
b) 73/10
Decimal:
a) 0.07
b) 8.2
Will Mark Brainliest To First Correct Answer.
Properties of Kites on IXL. I Only need to get one more correct and dont want to get reset...
Step-by-step explanation:
[tex]ei = \sqrt{ {45}^{2} - {27}^{2} } = \\ = \sqrt{2025 - 729} = \\ = \sqrt{1296} = \\ = 36[/tex]
What is the value of x in the equation below?
12 – 2(x-1)=6
Find the potential function f for the field F.
F = -1/x i+1/y j-1/z k
The potential function for the given field is f = ln |y| - ln |z| - ln |x| + C, where C is a constant of integration.
Given field is F = (-1/x) i+ (1/y) j- (1/z) k
The potential function f is given by
∂f/∂x = -1/x .........(1)∂f/∂y = 1/y .........(2)∂f/∂z = -1/z .........(3)
Using the equation (1)
we get
f = -ln |x| + C1
Using the equation (2)
we get
f = ln |y| + C2
Using equation (3) we get
f = -ln |z| + C3
On adding the above three equations we get
f = ln |y| - ln |z| - ln |x| + C
where C = C1 + C2 + C3 is a constant of integration.
Therefore, the potential function for the given field is f = ln |y| - ln |z| - ln |x| + C, where C is a constant of integration.
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An experiment was performed to test whether caffeine in Coca-Cola would improve performance on an intelligence test. One randomly chosen group of subjects was given an 8 oz. cup of Coca-Cola containing caffeine to drink 10 minutes before taking the intelligence test. Another randomly chosen group was given an 8 oz. cup of decaffeinated Coke to drink 10 minutes before taking the test. Neither group had any food or drink for three hours before the experiment began. What are the levels or conditions of the independent variable
Answer:
8 oz of cocacola drink containing caffeine
8 oz of Decaffeinated Coke
Step-by-step explanation:
Th independent variables is that variable which causes a change in the output or the dependent or response variable. In the scenario described above, the type of drink Given to the participants is the independent variable
The Independent variable is the type of drink Given to the subjects with two levels ;
Levels :
cocacola drink containing caffeine
Decaffeinated Coke
Therefore, we can conclude that, there are two levels Of the jndependent variable, which are stated above.
The mean score in a physics test is 75% with the standard deviation 6.5%. Suppose that the scores in the test are approximately normally distributed. What is the probability that a randomly selected student scores more than 82%? Round your answer for 4 decimal places.
__________
The probability that a randomly selected student scores more than 82% on the physics test, we can use the standard normal distribution and the given mean and standard deviation.
The z-score formula is given by z = (x - μ) / σ, where z represents the z-score, x is the observed value, μ is the mean, and σ is the standard deviation. In this case, the observed value is 82%, the mean is 75%, and the standard deviation is 6.5%. Plugging these values into the formula, we calculate the z-score as z = (0.82 - 0.75) / 0.065 = 1.0769.
Next, we need to find the area to the left of the z-score in the standard normal distribution table or using a calculator. The area to the left of 1.0769 corresponds to the probability of scoring less than 82%. Let's assume this area is P(z < 1.0769).
The probability of scoring more than 82%, we subtract P(z < 1.0769) from 1: P(z > 1.0769) = 1 - P(z < 1.0769).
Using a standard normal table or a calculator, we can find P(z < 1.0769) to determine the probability.
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y−3=5(x−2) what is the slope?
Answer:
y=5(x-2)+3 or y= 5x+7
Step-by-step explanation:
In the lexicographic ordering of the permutations of the set {A,B,C,D,E,F,G,H} , what is the next permutation after GAEDBHFC? (Assume the usual alphabetic order of letters.)
a. HAEFBDCG b. GAEDCBFH c. DEHBFGCA d. None of the other answers is correct. e. FDAEGBCH
In the lexicographic ordering of the permutations of the set {A,B,C,D,E,F,G,H} , the next permutation after GAEDBHFC will be GAEDBHFD.
What is lexicographic ordering?
Lexicographic ordering or dictionary ordering is a way of ordering elements based on their alphabetical or numerical values.
To find the next permutation in the lexicographic ordering, we need to find the smallest possible permutation that is greater than GAEDBHFC by considering the order of the letters.
Let's analyze the given permutation:
GAEDBHFC
To find the next permutation, we start from right to left and look for the first occurrence of a letter that can be replaced by a greater letter. In this case, the first such occurrence is "C" (after "H").
Next, we need to find the smallest letter that is greater than "C" from the remaining letters. From the letters {C, D, E, F, G, H}, the smallest greater letter than "C" is "D".
Now, we swap "C" with "D":
GAEDBHFD
After swapping, we need to sort the remaining letters in ascending order to obtain the smallest permutation. The remaining letters are {B, E, F, G, H}. Sorting them gives:
GAEDBHFD
Therefore, the next permutation after GAEDBHFC is GAEDBHFD.
The correct answer is:
b. GAEDBHFD
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One hundred tickets, numbered 1, 2, 3, …, 100, are sold to 100 people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti). How many ways are there to award the prizes if a) the person holding ticket 47 wins one of the prizes? b) the people holding tickets 19 and 47 both win prizes?
Solution :
It is given that four different prizes were awarded. So,
a). 4 ways for person 47 to win a prize
99 ways to give out the 2nd prize
98 ways to give the 3rd prize
97 ways to give the last prize
∴ P(99,3) = 99 x 98 x 97
b). 1 way to give person 47 their prize
1 way to give person 19 their prize
98 ways to give out the 3rd prize
97 ways to give out the last prize
So, P(98,2) = 98 x 97