Question

The average manufacturing work week in metropolitan Chattanooga was 40.1 hours last year. It is believed that the recession has led to a reduction in the average work week. To test the validity of this belief, the hypotheses are

Answer 1

The null and alternative hypothesis are:

`H_0: \mu=40.1\\\\H_a:\mu< 40.1`

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:

`H_0: \mu=40.1\\\\H_a:\mu< 40.1`