Testing:

H 0 : 14.2

H 1 : < 14.2

Your sample consists of 42 values, with a sample mean of 13.

Suppose the population standard deviation is known to be 2.92.

a) Calculate the value of the test statistic, rounded to 2 decimal places. z =

b) At = 0.02 , the rejection region is z < -2.33 or z 2.33 z < -2.05 or z 2.05 z < -2.05 z < -2.33 z 2.05 z 2.33

c) The decision is to Fail to reject the null hypothesis Accept the null hypothesis Reject the null hypothesis Accept the alternative hypotheis

d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? Type I Type II