Question: Attached is an Introduction to Statistics math question An elevator has a placard stating that the maximum capacity is 4200 lb-28 passengers. So, 28 adult

Attached is an Introduction to Statistics math question

Attached is an Introduction to Statistics math question An elevator has a

An elevator has a placard stating that the maximum capacity is 4200 lb-28 passengers. So, 28 adult male passengers can have a mean weight of up to 4200 / 28 = 150 pounds. Assume that weights of males are normally distributed with a mean of 177 lb and a standard deviation of 33 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 150 lb. b. Find the probability that a sample of 28 randomly selected adult males has a mean weight greater than 150 lb. c. What do you conclude about the safety of this elevator? a. The probability that 1 randomly selected adult male has a weight greater than 150 lb is (Round to four decimal places as needed.) b. The probability that a sample of 28 randomly selected adult males has a mean weight greater than 150 lb is (Round to four decimal places as needed.) c. Does this elevator appear to be safe? O A. No, because 28 randomly selected people will never be under the weight limit. O B. No, because there is a good chance that 28 randomly selected adult male passengers will exceed the elevator capacity O C. Yes, because there is a good chance that 28 randomly selected people will not exceed the elevator capacity. O D. Yes, because 28 randomly selected adult male passengers will always be under the weight limit

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!