Question: Manufacturing and Product Development Two different machines in a manufacturing facility are designed to fill cans with 280 grams of Tang orange-flavored drink mix. A random sample of filled cans from each machine was obtained, and each can was carefully weighed. Of the 134 cans from machine A, 10 were underfilled, and 7 of 114 cans from machine B were underfilled.
a. Compute the sample proportion of underfilled cans for each machine.
b. Verify the nonskewness criterion.
c. Find a 95% confidence interval for the true difference in the proportion of underfilled cans for machines A and B.
d. Using the confidence interval in part (c), is there any evidence to suggest that the proportion of underfilled cans is different for the two machines? Justify your answer.