Question

A large factory that builds machines has three shifts, one that starts at 4:00 A.M., one that starts at noon, and one that starts at 8:00 P.M. The manager of the factory wanted to know whether there is an association between an employee’s work experience (less than five years with the company, between five and twenty years with the company, over twenty years with the company) and the time of the employee’s shift. The manager selected a random sample of 125 employees and classified employees by their shift time and work experience. What is an appropriate pair of hypotheses for the manager to use?

Answer 1

if the worker has more experience, then they will have longer shifts because they will be better at their job and be able to complete more tasks.

Explanation:

use and "if then because" structure in a hypothesis, and use common logic based on the info provided :)

Answer 2

`H_(0)` : Work experience is independent of the time of an employee's shift

`H_(A)` : Work experience is dependent on the time of an employee's shift

Explanation:

Since we have one population but multiple variables, so we are using a chi-square test of independence. Thus, our null should be that there is no association, and the alternative that there IS an association.