A) a. Determine the sample size required to estimate

a population mean to within 10 units given that the population standard deviation is 50. A confidence level of 90% is judged to be appropriate.

b. Repeat part (a) changing the standard deviation to 100.

c. Re-do part (a) using a 95% confidence level.

d. Repeat part (a) wherein we wish to estimate the population mean to within 20 units.

B) Review Exercise Describe what happens to the sample size when

a. the population standard deviation increases.

b. the confidence level increases.

c. the bound on the error of estimation increases.

Exercise

a. Determine the sample size required to estimate

a population mean to within 10 units given that the population standard deviation is 50. A confidence level of 90% is judged to be appropriate.

b. Repeat part (a) changing the standard deviation to 100.

c. Re-do part (a) using a 95% confidence level.

d. Repeat part (a) wherein we wish to estimate the population mean to within 20 units.

C) a. A statistics practitioner would like to estimate

a population mean to within 50 units with 99% confidence given that the population standard deviation is 250. What sample size should be used?

b. Re-do part (a) changing the standard deviation to 50.

c. Re-do part (a) using a 95% confidence level.

d. Re-do part (a) wherein we wish to estimate the population mean to within 10 units.

D) Review the results of Exercise Describe what happens to the sample size when

a. the population standard deviation decreases.

b. the confidence level decreases.

c. the bound on the error of estimation decreases.

Exercise

a. A statistics practitioner would like to estimate

a population mean to within 50 units with 99% confidence given that the population standard deviation is 250. What sample size should be used?

b. Re-do part (a) changing the standard deviation to 50.

c. Re-do part (a) using a 95% confidence level.

d. Re-do part (a) wherein we wish to estimate the population mean to within 10 units.

E) a. Determine the sample size necessary to estimate a population mean to within 1 with 90% confidence given that the population standard deviation is 10.

b. Suppose that the sample mean was calculated as 150. Estimate the population mean with 90% confidence.

F) a. Repeat part (b) in Exercise after discovering that the population standard deviation is actually 5.

b. Repeat part (b) in Exercise 10.45 after discovering that the population standard deviation is actually 20

Exercise

a. Determine the sample size necessary to estimate a population mean to within 1 with 90% confidence given that the population standard deviation is 10.

b. Suppose that the sample mean was calculated as 150. Estimate the population mean with 90% confidence.

G) Review Exercises and Describe what happens to the confidence interval estimate when

a. the standard deviation is equal to the value used to determine the sample size.

b. the standard deviation is smaller than the one used to determine the sample size.

c. the standard deviation is larger than the one used to determine the sample size.

Exercise

a. Determine the sample size necessary to estimate a population mean to within 1 with 90% confidence given that the population standard deviation is 10.

b. Suppose that the sample mean was calculated as 150. Estimate the population mean with 90% confidence.

Exercise

a. Repeat part (b) in Exercise after discovering that the population standard deviation is actually 5.

b. Repeat part (b) in Exercise after discovering that the population standard deviation is actually 20

H) a. A statistics practitioner would like to estimate a population mean to within 10 units. The confidence level has been set at 95% and = 200. Determine the sample size.

b. Suppose that the sample mean was calculated as 500. Estimate the population mean with 95% confidence.