A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 428428 gram setting. It is believed that the machine is underfilling or overfilling the bags. A 7171 bag sample had a mean of 433433 grams with a variance of 441441. Assume the population is normally distributed. A level of significance of 0.010.01 will be used. Specify the type of hypothesis test.

An engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 120 lb and 161 lb. the new population of pilots has normally distributed weights with a mean of 125 lb and a standard deviation of 28.1 lb. a)if a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb.the probability is approximately? b. if 36 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 161 lb. the probability is approximately? c. when redesigning the ejection seat, which probability is more relevant? . part (b) because the seat performance for a single pilot is more important. b. part (b) because the seat performance for a sample of pilots is more important. c. part (a) because the seat performance for a sample of pilots is more important. d. part (a) because the seat performance for a single pilot is more important.