Question

I hate changing the cat litter. Even with regular scoopings, if I don't completely change the litter at least once every 15 days, it stinks.

A scientist has invented a new cat litter she proposes will last more than 15 days. A sample of the new cat litter is placed in 49 different homes. The average effectiveness of the new cat litter is measured to be 16.2 days. For the population of all cat litters in the market, the standard deviation of the duration of cat litter effectiveness is known to be 5.6 days.

We will evaluate the new product at α = .05.

A. Provide the appropriate hypothesis test criteria:

HO: μ	≥ ≤ =
HA: μ	< > ≠

B. Using the data from the sample, answer the five fill-in-the-blank questions, and make the correct hypothesis test conclusion.

Reject Ho if the test statistic of		is	> <	the critical value of
Reject Ho if the p-value of		is	<	the value of α of

Based on these results, we should:

• Reject Ho

• Accept Ho

C. Is this new cat litter statistically more effective than cat litters currently in the market?

Answer 1