You believe the mean annual kilowatt usage of U.S. residential customers is less than 10,800. You do some research and find that a random sample of 30 residential customers has a mean kilowatt usage of 10.700, with a standard deviation of 280. You conduct a statistical experiment whereand. At, explain why you cannot reject.
Solution: We need to test
This corresponds to a left-tailed t-test. The t-statistics is computed as:
The p-value for the test (for 29 degrees of freedom) is given by:
Since the p-value is greater than 0.01, we fail to reject the null hypothesis.