AB Provincial University (ABPU) uses thousands of fluorescent light bulbs each year.

The brand of bulb it currently uses has a mean life of 980 hours. A competitor claims

that its bulbs, which cost the same as the brand ABPU currently uses, have a mean

life of more than 980 hours. APBU has decided to purchase the new brand if, when

tested, the evidence supports the manufacturer's claim at the 0 .05 significance level.

Suppose 82 bulbs were tested with the following results: x-bar = 999 hours, s = 76

hours.

Required:

State the hypotheses and find the rejection region for the test of interest to APBU.