Me on this question, guys! i know the answer for (a) so i'll write down, too. for (b) i tried "$89,000 because that is the price with the biggest unusual z-score" but i got that this part is incorrect because i needed to use the mean and standard deviation that i calculated along with z=2 to determine the threshold higher price. that got me lost.
question: consider the following prices for a sample of 10 congo-imported black diamonds: $34,550; $45,500; $75,000; $33,000; $89,000; $40,000; $55,000, $62,500; $88,000; $81,750.
(a) calculate mean and standard deviation for the above list of prices. mean is 60,430 and std dev is 21,958.0813.
(b) what is the higher price you will pay for a congo-imported diamond based on the sample from above? explain your rationale for that.

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.