Question

Given a population mean of 27.1 with a standard deviation of 8.4 and a sample size...

Given a population mean of 27.1 with a standard deviation of 8.4 and a sample size of 10, answer these questions:

Part A: What is the standard deviation of the sampling distribution of x̄? Show your work. (5 points)

Part B: What does the sample size need to be if you want the standard deviation of the sampling distribution of x̄ to be 2.8? Show your work. (5 points) (10 points)

Homework Answers

Answer #1

A)

Standard deviation of = = / sqrt(n)

= 8.4 / sqrt(10)

= 2.6563

B)

Given,

= 2.8 ,

We have to calculate n.

= / sqrt(n)

sqrt (n ) = /

n = ( / )2

= (8.4 / 2.8)2

= 9

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Question 5 ` If the standard deviation of the population is 15 and the sample size...
Question 5 ` If the standard deviation of the population is 15 and the sample size is 10,000, the standard error will be: 0 .15 .22 .43 1 points Question 6 If you draw a sample of 500, you can be confident that the sampling distribution of means will: Have a mean of 500. Will have a standard error of 50. Will be heavily skewed. Will be a standard normal curve.
1)Given a sample mean is82, the sample size is 100and the population standard deviation is 20....
1)Given a sample mean is82, the sample size is 100and the population standard deviation is 20. Calculate the margin of error to 2 decimalsfor a 90% confidence level. 2)Given a sample mean is 82, the sample size is 100 and the population standard deviation is 20. Calculate the confidence interval for 90% confidence level. What is the lower limit value to 2 decimals? 3)Given a sample mean is 82, the sample size is 100 and the population standard deviation is...
A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test...
A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 5% significance level. x̄ = 27, n = 12, σ = 5 Ha : μ> 23
The amount people pay for electric service varies quite a bit, but the mean monthly fee...
The amount people pay for electric service varies quite a bit, but the mean monthly fee is $168 and the standard deviation is $34. The distribution is not Normal. Many people pay about $90 in rural areas of the country and about $150 in urban areas of the country, but some pay much more. A sample survey is designed to ask a simple random sample of 1,200 people how much they pay for electric services. Let x̄ be the mean...
Given the population mean, μ = 45, and the population standard deviation, σ = 15 with...
Given the population mean, μ = 45, and the population standard deviation, σ = 15 with a sample size of, n = 100.n = 100. Determine P ( x ¯ ≤ 42 ). To do this problem first determine the sampling mean and the sampling standard deviation in order to convert to a z-score. Round your answer to 4 decimals.
1. A population has a mean of 200 and a standard deviation of 50. A simple...
1. A population has a mean of 200 and a standard deviation of 50. A simple random sample of size 100 will be taken and the sample mean will be used to estimate the population mean. a. What is the expected value of the sample mean? b. What is the standard deviation of the sample mean? c. Confirm whether the Central Limit Theorem is met and explain it’s significance. d. Draw the sampling distribution of the sample mean. e. What...
A variable of a population has a mean of muequals85 and a standard deviation of sigmaequals6....
A variable of a population has a mean of muequals85 and a standard deviation of sigmaequals6. a. Identify the sampling distribution of the sample mean for samples of size 36. b. In answering part​ (a), what assumptions did you make about the distribution of the​ variable? c. Can you answer part​ (a) if the sample size is 25 instead of 36​? Why or why​ not? A. . What is the shape of the sampling​ distribution? Pick one: uniform skewed bimodal...
Given the sample mean, x, the assumed population mean, μ, the sample standard deviation,s, and the...
Given the sample mean, x, the assumed population mean, μ, the sample standard deviation,s, and the sample size, n, what is the formula to compute the t-statistic for our sample mean? In other words, what is the t-score in “the x distribution”? What is the number of degrees of freedom?
A random sample of size 13 was taken from a population with a population mean 27...
A random sample of size 13 was taken from a population with a population mean 27 and a population standard deviation 5. Determine each of the following about the sampling distribution of the sample mean. Awnser A, B, C Round your answer to at least 3 decimal places where appropriate. a) μx_= b) σx_= c)  Can we conclude that the sampling distribution of the sample mean is approximately normal? Yes or No
A population has a mean of 75 and a standard deviation of 27. Find the mean...
A population has a mean of 75 and a standard deviation of 27. Find the mean and standard deviation of a sampling distribution of sample means with sample size of 81.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT