Question

A simple random sample of 40 items resulted in a sample mean of 30. The population...

A simple random sample of 40 items resulted in a sample mean of 30. The population standard deviation is σ = 20. a. Compute the 95% confidence interval for the population mean. Round your answers to one decimal place. Assume that the same sample mean was obtained from a sample of 100 items. Provide a 95% confidence interval for the population mean. Round your answers to two decimal places. What is the effect of a larger sample size on the interval estimate? larger or smaller

Homework Answers

Answer #1

Here

sample mean

population standard deviation σ = 20

and sample size

a 95% confidence interval for the population mean

When n = 100,

a 95% confidence interval for the population mean

So, for larger sample size, width of the confidence interval gets smaller.

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
A simple random sample of 70 items resulted in a sample mean of 80. The population standard deviation is
A simple random sample of 70 items resulted in a sample mean of 80. The population standard deviation isσ = 15.(a)Compute the 95% confidence interval for the population mean. (Round your answers to two decimal places.)to(b)Assume that the same sample mean was obtained from a sample of 140 items. Provide a 95% confidence interval for the population mean. (Round your answers to two decimal places.)to(c)What is the effect of a larger sample size on the interval estimate?A larger sample size...
{Exercise 8.3 (Algorithmic)} A simple random sample of 40 items resulted in a sample mean of...
{Exercise 8.3 (Algorithmic)} A simple random sample of 40 items resulted in a sample mean of 30. The population standard deviation is σ = 15. a. Compute the 95% confidence interval for the population mean. Round your answers to one decimal place. Enter your answer using parentheses and a comma, in the form (n1,n2). Do not use commas in your numerical answer (i.e. use 1200 instead of 1,200, etc.) b. Assume that the same sample mean was obtained from a...
A simple random sample of 60 items resulted in a sample mean of 91. The population...
A simple random sample of 60 items resulted in a sample mean of 91. The population standard deviation is 12. a. Compute the 95% confidence interval for the population mean (to 1 decimal). ( , ) b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). ( , ) c. What is the effect of a larger sample size on the margin of...
A simple random sample of 60 items resulted in a sample mean of 79. The population...
A simple random sample of 60 items resulted in a sample mean of 79. The population standard deviation is 13. a. Compute the 95% confidence interval for the population mean (to 1 decimal). b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). c. What is the effect of a larger sample size on the margin of error?
A simple random sample of 60 items resulted in a sample mean of 71. The population...
A simple random sample of 60 items resulted in a sample mean of 71. The population standard deviation is 14. a. Compute the 95% confidence interval for the population mean (to 1 decimal). b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). c. What is the effect of a larger sample size on the margin of error?
A simple random sample of 60 items resulted in a sample mean of 71. The population...
A simple random sample of 60 items resulted in a sample mean of 71. The population standard deviation is 13. a. Compute the 95% confidence interval for the population mean (to 1 decimal). ( , ) b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). ( , ) c. What is the effect of a larger sample size on the margin of...
A simple random sample of 60 items resulted in a sample mean of 81. The population...
A simple random sample of 60 items resulted in a sample mean of 81. The population standard deviation is 17. a. Compute the 95% confidence interval for the population mean (to 1 decimal). (  ,  ) b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). (  ,  ) c. What is the effect of a larger sample size on the margin of error?
A simple random sample of 60 items resulted in a sample mean of 89. The population...
A simple random sample of 60 items resulted in a sample mean of 89. The population standard deviation is 18. a. Compute the 95% confidence interval for the population mean b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean c. What is the effect of a larger sample size on the margin of error? -increase - decrease -same - cannot determine
A simple random sample of 60 items resulted in a sample mean of 77. The population...
A simple random sample of 60 items resulted in a sample mean of 77. The population standard deviation is 17. a. Compute the 95% confidence interval for the population mean (to 1 decimal). (  ,   ) b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). (  ,   )
A simple random sample of 60 items resulted in a sample mean of 89. The population...
A simple random sample of 60 items resulted in a sample mean of 89. The population standard deviation is 12. a. Compute the 95% confidence interval for the population mean (to 1 decimal). b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT