# Answer true or false. If false, explain why. a. X bar squared is an unbiased estimator for µ squared. b. If the sample size used to calculate a confidence interval is quadrupled, and everything else remains the same, then the margin of error becomes one-fourth its original size. c. A sample of 25 observations is randomly selected from a population that is normally distributed in order to test the hypotheses H0: µ = 8 versus H1: µ =/= 8. If the resulting p-value is .2714, then we can say a 90% confidence interval for µ based on these sample results will contain 8.

Question

Answer true or false. If false, explain why.

a. X bar squared is an unbiased estimator for µ squared.

b. If the sample size used to calculate a confidence interval is quadrupled, and everything else remains the same, then the margin of error becomes one-fourth its original size.

c. A sample of 25 observations is randomly selected from a population that is normally distributed in order to test the hypotheses H0: µ = 8 versus H1: µ =/= 8. If the resulting p-value is .2714, then we can say a 90% confidence interval for µ based on these sample results will contain 8.