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Z-Test of a Mean

Can you assist me in putting together a z test using the information below ... or if we use a different example?

Due to increase in product demand, management needs to increase labor production hours by an estimated 270 hours. Any-Business currently has 30 production employees whose hourly wages varies from \$7.50 - \$8.50 per hour.

One production manager proposed implementing 9 hours of mandatory overtime for each employee, while another proposed adding 9 new hires who work 30 hours weekly.

Company policy requires that an employee be paid time & ½ for every hour worked over 40 hours in a week. Starting pay for a new hire is \$7.50 per hour.

Null Hypothesis:
It is cost less to pay current employees (CE) 9 hour of mandatory overtime than to add 9 new hours (NH) to work 30 hours a week at starting pay.
Alternate Hypothesis:
It costs more to pay current employees (CE) 9 hour of mandatory overtime than to add 9 new hours (NH) to work 30 hours a week at starting pay.

Solution Preview

Can you assist me in putting together a z test using the information below...or if we need to tweak example with a sample size and standard deviation.

Due to increase in product demand, management needs to increase labor production hours by an estimated 270 hours. Any-Business currently has 30 production employees whose hourly wages varies from \$7.50 - \$8.50 per hour.

One production manager proposed implementing 9 hours of mandatory overtime for each employee, while another proposed adding 9 new hires who work 30 hours weekly.

Company policy requires that an employee be paid time & ½ for every hour worked over 40 hours in a week. Starting pay for a new hire is \$7.50 per hour.

Null Hypothesis:
It is cost less to pay current employees (CE) 9 hour of mandatory overtime than to add 9 new hours (NH) to work 30 hours a week at starting pay.
Alternate ...

Solution Summary

The solution shows how to do a z-test using an example involving hourly wages.

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