Applications | RapidIdentity x D Quizzes 2 * *Dashboard + X - > C A learn.vccs.edu/courses/500264/external_tools/retrieve?display=full_width&url=https%3A%2F%2Fvccs.quiz-Iti-iad-prod.instructure.com%2Flti%2Flaunch%3Fmodule_session%... [ * @ G Return Submit 18. Distinguish between the distribution of a random variable and the sampling distributions of its associated sample statistics. 19. Identify the sampling distributions of the sample mean and the sample proportion and use them to make statistical inferences. 39. Calculate descriptive and inferential statistics using an appropriate statistical software package. Instructions This homework assignment requires the use of the StatCrunch normal distribution calculator. Be sure to follow all rounding instructions exactly. Questions? 88 8 34 1 If you have questions about this homework assignment, please post them in the Week 7 Discussion Forum. 2 1 1 point Overhead reach distances of adult females are normally distributed with a mean of 205.0 cm and a standard deviation of 7.8 cm. Find the probability that the mean overhead reach distance for a random sample of 20 adult females is greater than 203.7 cm. (Round your answer to three decimal places; add trailing zeros as needed.) 4 The probability that the mean overhead reach distance for a random sample of 20 adult females is greater than 203.7 cm is type your answer. 2 2 points Suppose a certain airline uses passenger seats that are 16.2 inches wide. Assume that adult men have hip breadths that are normally distributed with a mean of 14.4 inches and a standard deviation of 1.1 inches. If an airliner is filled with 110 randomly selected adult men, what is the probability that any one of those adult male will have a hip width greater than 16.2 inches? What is the probability that the 110 adult men will have an average hip width greater than 16.2 inches? (Round your answers to three decimal places; add trailing zeros as needed.) The probability that an individual adult male passenger will have an average hip width greater than 16.2 inches is type your answer. The probability that 110 randomly selected adult male passengers will have an average hip width greater than 16.2 inches is type your answer. 3 1 point A ski gondola carries skiers to the top of a mountain. Assume that the total weights of adult skiers (including their equipment) are normally distributed with a mean of 200 lb and a standard deviation of 40 lb. Further assume that the gondola can carry a maximum of 25 skiers and has a maximum load limit of 5,000 lb. If the gondola is full, it will be overloaded if the mean total weight of the skiers exceeds 5,000 lb / 25 skiers = 200 lb/skier. If the gondola is filled with 25 randomly selected skiers, what is the probability that it will be overloaded? (Round your answer to three decimal places; add trailing zeros as needed.) L - L: 1:1. .. O E 1:47 PM Type here to search 63'F Mostly cloudy ~ 9 4x 10/5/2022Applications | RapidIdentity x _ Quizzes 2 * *Dashboard X + X - > C A learn.vccs.edu/courses/500264/external_tools/retrieve? display=full_width&url=https%3A%2F%2Fvccs.quiz-Iti-iad-prod.instructure.com%2FIti%2Flaunch%3Fmodule_session%... [ * @ G Return Submit 2 2 points Suppose a certain airline uses passenger seats that are 16.2 inches wide. Assume that adult men have hip breadths that are normally distributed with a mean of 14.4 inches and a standard deviation of 1.1 inches. If an airliner is filled with 110 randomly selected adult men, what is the probability that any one of those adult male will have a hip width greater than 16.2 inches? What is the probability that the 110 adult men will have an average hip width greater than 16.2 inches? (Round your answers to three decimal places; add trailing zeros as needed.) 1 The probability that an individual adult male passenger will have an average hip width greater than 16.2 inches is type your answer. 2 The probability that 110 randomly selected adult male passengers will have an average hip width greater than 16.2 inches is |type your answer. 4 3 1 point A ski gondola carries skiers to the top of a mountain. Assume that the total weights of adult skiers (including their equipment) are normally distributed with a mean of 200 lb and a standard deviation of 40 lb. Further assume that the gondola can carry a maximum of 25 skiers and has a maximum load limit of 5,000 lb. If the gondola is full, it will be overloaded if the mean total weight of the skiers exceeds 5,000 lb / 25 skiers = 200 lb/skier. If the gondola is filled with 25 randomly selected skiers, what is the probability that it will be overloaded? (Round your answer to three decimal places; add trailing zeros as needed.) The probability that 25 randomly selected skiers will overload the gondola is type your answer. 4 1 point Consider the ski gondola from Question 3. Suppose engineers decide to reduce the risk of an overload by reducing the passenger capacity to a maximum of 15 skiers. Assuming the maximum load limit remains at 5,000 lb, what is the probability that a group of 15 randomly selected skiers will overload the gondola? (Round your answer to three decimal places; add trailing zeros as needed.) The probability that 15 randomly selected skiers will overload the gondola is type your answer... Submit Type here to search 63*F Mostly cloudy ~ 9 0 7 4x 1:48 PM 10/5/2022