A Carpet Company Advertises That It Will Deliver Your Carpet $\alpha$

question 75

Essay

A carpet company advertises that it will deliver your carpet within 15 days of purchase. A sample of 49 past customers is taken. The average delivery time in the sample was 16.2 days. The standard deviation of the population ( $\alpha$ ) is known to be 5.6 days.
a.State the null and alternative hypotheses.
b.Using the critical value approach, test to determine if their advertisement is legitimate. Let $\alpha$ = .05.
c.Using the p-value approach, test the hypotheses at the 5% level of significance.

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Definitions:

Damage

Loss or harm resulting from injury to a person, property, or reputation.

Workers' Compensation Insurance

Insurance that provides wage replacement and medical benefits to employees injured in the course of employment in exchange for mandatory relinquishment of the employee's right to sue their employer for negligence.

Employee's Benefit

Various forms of compensation provided to employees beyond salaries, including health insurance, retirement plans, and paid vacation.

Personal

Relating to or affecting a particular person rather than anyone else; this term is often used in law to distinguish between an individual's private affairs and their public or business roles.