In: Statistics and Probability
) A grocery store needs the refrigeration section to
have its coolers stay at the same temperature on
a daily basis with little variance to help ensure quality. Daily
temperatures are measured in degrees
Fahrenheit (◦F), and the manager of the store assumes that the
variance in the daily temperatures is
3.8. The assistant manager claims that the variance is not 3.8 and
decides to test his claim using an
hypothesis test. For a random sample of 31 days, he finds that the
sample standard deviation in the
daily temperatures for one cooler is 2.9
◦F. At the 0.02 level of significance, does this evidence
support
the claim that the variance in the daily temperatures is not
3.8?