A company makes two sizes of boxes shaped like rectangular prisms. The large box is 16 inches tall, 10 inches wide, and 10 inches long. A small box is 4 inches tall, 2 inches wide, and 2 inches long

Part A
What is the maximum number of small boxes that can fit inside the large box?
ANSWER:

Part B
The company plans to increase the width and length of the large box by 44 inches each to create a new larger box. How many more of the small boxes will be able to fit inside this new larger box compared to the original large box?
ANSWER:

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.