In: Statistics and Probability
Consumers Energy states that the average electric bill across the state is $48.287. You want to test the claim that the average bill amount is actually less than $48.287. The hypotheses for this situation are as follows: Null Hypothesis: μ ≥ 48.287, Alternative Hypothesis: μ < 48.287. A random sample of 35 customer's bills shows an average cost of $51.651 with a standard deviation of $8.3447. What is the test statistic and p-value for this test?