A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 135°F. To test this claim, you randomly select a sample of 32 systems and find the mean activation temperature to be 133°F. Assume the population standard deviation is 3.3°F. At α = 0.10, do you have enough evidence to reject the manufacturer’s claim?
(a) Identify the claim and state H0 and Ha.
(b) Find the standardized test statistic z. If convenient, use technology.
(c) Find the P-value. If convenient, use technology.
(d) Decide whether to reject or fail to reject the null hypothesis.
(e) Interpret the decision in the context of the original claim.