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Determine the sample size necessary

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A) 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.

B) a. Repeat part (b) in Exercise A) 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.

C) Review Exercises A) and B) 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.

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

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

Reference no: EM132432549

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