Question

A manufacturer of sprinkler systems used for fire protection in office buildings claims that the true average system-activation temperature is 130^o F. A sample of n = 9 systems, when tested, yields a sample average activation temperature of 131.08^o F. If the distribution of activation times is normal with standard deviation 1.5^o F, does the data contradict the manufacturer’s claim at a significance level of 0.01? Answer this question via the following parts:

a) What is the parameter of interest?

b) State the null hypothesis

c) State the alternative hypothesis

d) Compute the test statistic and complete the test to answer the question in the paragraph above, that is, does the data contradict the manufacturer’s claim? Why or why not?

Answer 1