CHAPTER 2 2.5

An SRSWOR of size 300 is drawn from a population to estimate the population mean of a characteristic of interest.A 95% Confidence Interval for the population mean based on the sample mean 297897 is(260706,335087).

(a)what is the chance for the confidence interval to include the unknown population means?

(b)Find the numerical value of the SE(sample mean)

(c)Find the 95% confidence interval for the(population mean-sample mean). Then, give the reasons for your answer by showing the steps of your calculation.

(d) Using your findings in(b), determine how far the upper and lower confidence limits in(c) are away from zero in the unit of SE(sample mean).

(e) Present the numerical value of MOE.

(f) Determine the sample size for having(MOE/sample standard deviation)equals 1