In: Statistics and Probability
a) State the null and alternative hypotheses, b) Verify that the requirements that allow use of the normal model to test the hypothesis are satisfied, c) Show work for calculating the test statistic, d) Compare the critical value with the test statistic, and e) State the conclusion.
The manufacturer of sprinkler systems designed for fire protection says that the mean activating temperature is 135oF. To test this claim, you randomly select a sample of 32 systems and find the mean activation temperature to be 133oF. The standard deviation is 3.3oF. Is there enough evidence to conclude that the mean activating temperature is less than 135oF? Use an α = 0.01level of significance.