Question: Manufacturing and Product Development The manager at an HEB grocery store in Corpus Christi, Texas, suspects a supplier is systematically underfilling 12-ounce bags of potato chips. To check the manufacturer's claim, a random sample of 100 bags of potato chips is obtained, and each bag is carefully weighed. The sample mean is 11.9 ounces. Assume σ = 0.3 ounces.
a. Find the probability that the sample mean is 11.9 ounces or less.
b. How can this probability in part (a) be so small when 11.9 is so close to the population mean μ = 12?
c. From your answer to part (a), is there any evidence to suggest that the mean weight of bags of potato chips is less than 12 ounces?