A sample of 45 observations is selected from a normal popula

A sample of 45 observations is selected from a normal population. The sample mean is 49, and the population standard deviation is 5. Use the 0.10 significance level. H0: = 51 H1: 51 What is the decision rule? Reject H0 if -1.65 < z < 1.65 Reject H0 if z < -1.65 or z > 1.65

Solution

since is a 2 tailed test we will find a alpha / 2 = 0.05

and see in the tables a value of Z ( critical value) for 0.05

critical value will be +/- 1.65

reject Ho if z < -1.65 or z > 1.65