Answer:
The null and alternative hypothesis are:
[tex]H_0: \mu=40.1\\\\H_a:\mu< 40.1[/tex]
Step-by-step explanation:
If we want to test the claim that there is a reduction in the average work week, the null hypothesis should state:
- The alternative hypothesis should state the claim: there is a reduction in the average work week. This can be written as the true mean is less than 40.1
- The null hypothesis should state the oposite of the alternative hypothesis: that there is no significant reduction in the average work week. This can be written as the true mean is equal to 40.1.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=40.1\\\\H_a:\mu< 40.1[/tex]