A manufacturer of sprinkler systems used for fire protection in office buildings claims that the true average system-activation temperature is 130 degrees. A sample of 9 systems when tested yields a...

A manufacturer of sprinkler systems used for fire protection in office buildings claims that the
true average system-activation temperature is 130 degrees. A sample of 9 systems when tested
yields a sample average activation temperature of 131.08 degrees. If the distribution of activation
times is normal with standard deviation 1.5 degrees, test at the 1% level of significance to see if
the data shows evidence that is different from the manufacturers claim.

(a) State the null and alternative hypotheses for the test.
(b) What is the test statistic?

Calculate the value of the test statistic for this test.
(d) Calculate the p-value for this test.
(e) State the conclusion of this test. Give a reason for your answer.