From a population of unknown mean and a standard Deviation = 5.0 a sample of

Question:

From a population of unknown mean µ and a standard Deviation σ = 5.0 a sample of n = 100 is selected and the sample mean 40.9 is found. Compare the concepts of estimation and hypothesis testing by completing the following:
a. Determine the 95% confidence interval for µ .
b. Complete the hypothesis test involving Ha: µ = 40 using the p-value approach and a = 0.05.
c. Complete the hypothesis test involving Ha: µ = 40 using the classical approach and a = 0.05.
d. On one sketch of the standard normal curve, locate the interval representing the confidence interval from part a; the z_, p-value, and a from part b; and the z_ and critical regions from part
c. Describe the relationship between these three separate procedures.