Dishwasher detergent is packaged in containers that claim a weight of 24 ounces. Although there is some variation from one package to another, your policy is to ensure that the mean weight for each day’s production is slightly over 24 ounces. A random sample of 100 packages from today’s production indicates an average of 24.23 ounces with a standard deviation of 0.15 ounce.
a. Find the p-value (as either p > 0.05, p < 0.05, p < 0.01, or p < 0.001) for a one-sided hypothesis test to check if the population mean weight is above the claimed weight.
b. Write a brief paragraph summarizing your test and its results.
c. Is your conclusion a strong one or a weak one? Why?