A somewhat outdated study indicates that the mean number of hours worked per week by software developers is44

. We have good reason to suspect that the mean number of hours worked per week by software developers,

, is now different from44

and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is40

hours and that the standard deviation is6

hours.

Based on this information, complete the parts below.

(a)What are the null hypothesisH

0

and the alternative hypothesisH

1

that should be used for the test?H

0

:

H

1

:

(b)Suppose that we decide to reject the null hypothesis. What sort of error might we be making?

(Choose one)

(c)Fill in the blanks to describe the Type II error that could occur if the true mean number of hours worked by software engineers is38

hours.A Type II error would be

(Choose one)

the hypothesis that

is

(Choose one)

(Choose one)

when, in fact,

is

(Choose one)

.