A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift. In a random sample of 26 cases of light bulbs produced during the morning shift at a plant, the mean number of defective bulbs per case was 28.00 with a sample standard deviation of 25.92. Test the claim at the α = 0.01 level of significance.
State the appropriate null and alternate hypotheses for this problem, including identifying any of the parameters used in terms of the problem.
Compute the test statistics.
Determine the p-value.
State the conclusion.