6 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=620257974&question|d=1&flushed=false&cld=6873279¢erwin=yes E Math 159-14 Spring 2022 JOU HAN HUANG O3/11/2212:51 PM E Homework: Chapter 6 Homework ( Question 16, 6.4.5-T ) HW Score: 3.1%, 0.62 of 20 points Part a of 3 (3'; Points: 0 of 1 Assume that females have pulse rates that are normally distributed with a mean of p = 75.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, nd the probability that her pulse rate is less than 79 beats per minute. The probability is 0.6255', (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, nd the probability that they have pulse rates with a mean less than 79 beats per minute. The probability is 0.9452', (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30'? A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. ' B. Since the original population has a normal distribution. the distribution of sample means is a normal distribution for any sample size. .x 0. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. D. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. Help me solve this View an example Get more help . S lar question 6 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=620257974&question|d=1&flushed=false&cld=6873279¢erwin=yes E Math 159-14 Spring 2022 JOU HAN HUANG O3/11/2212:51 PM Question 17, 6.4.6-T ) HW Score: 3.1 %, 0.62 of 20 points Part a of 3 (3'; Points: 0 of 1 E Homework: Chapter6 Homework The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.9 cm. a. Find the probability that an individual distance is greater than 213.40 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is 0.0661'. (Round to four decimal places as needed.) b. The probability is 0.8655'. (Round to four decimal places as needed.) 1:. Choose the correct answer below. A. The normal distribution can be used because the mean is large. B. The normal distribution can be used because the probability is less than 0.5 * C. The normal distribution can be used because the original population has a normal distribution. xx D. The normal distribution can be used because the nite population correction factor is small. Help me solve this View an example Get more help . S lar question 6 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=620257974&question|d=1&flushed=fa|se&cld=6873279¢erwin=yes E Math 159-14 Spring 2022 JOU HAN HUANG 03/11/2212:52 PM E Homework: Chapter 6 Homework ( Question 18, 6.4.9-T ) HW Score: 4.76%, 0.95 of 20 points Part a or 3 @ Points: 0.33 of1 An elevator has a placard stating that the maximum capacity is 3600 lb25 passengers. So. 25 adult male passengers can have a mean weight of up to 3600 / 25 =144 pounds. Assume that weights of males are normally distributed with a mean of 181 lb and a standard deviation of 36 lb. 3. Find the probability that 1 randomly selected adult male has a weight greater than 144 lb. I). Find the probability that a sample of 25 randomly selected adult males has a mean weight greater than 144 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 144 lb is 0.8480'. (Round to four decimal places as needed.) b. The probability that a sample of 25 randomly selected adult males has a mean weight greater than 144 lb is 1 . (Round to four decimal places as needed.) c. Does this elevator appear to be safe? A. No, because 25 randomly selected people will never be under the weight limit. * B. No, because there is a good chance that 25 randomly selected adult male passengers will exceed the elevator capacity. xx C. Yes, because there is a good chance that 25 randomly selected people will not exceed the elevator capacity. D. Yes, because 25 randomly selected adult male passengers will always be under the weight limit. Help me solve this View an example Get more help . S lar question 6 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=620257974&question|d=1&f|ushed=false&cld=6873279¢erwin=yes E Math 159-14 Spring 2022 JOU HAN HUANG 03/11/2212:52 PM Question 19, 6.4.13-T HW Score: 8.1%, 1.62 of 20 points : Homework: Chapter6 Homework 9 points: 0.67of1 When women were nally allowed to become pilots of ghter jets, engineers needed to redesign the ejection seats because they had been originally designed for men only. The ejection seats were designed for men weighing between 130 lb and 201 lb. Weights of women are now normally distributed with a mean of 165 lb and a standard deviation of 44 lb. Complete parts (a) through (c) below. a. If 1 woman is randomly selected, nd the probability that her weight is between 130 lb and 201 lb. The probability is approximately 0.5802V , (Round to four decimal places as needed.) b. If 28 different women are randomly selected, nd the probability that their mean weight is between 130 lb and 201 lb, The probability is approximately 1 . (Round to four decimal places as needed.) c. When redesigning the ejection seat. which probability is more relevant? A. The part (a) probability is more relevant because the seat performance for a sample of pilots is more important. B. The part (b) probability is more relevant because the seat performance for a single pilot is more important. 3' C. The part (a) probability is more relevant because the seat performance for a single pilot is more important. D. The part (b) probability is more relevant because the seat performance for a sample of pilots is more important. Help me solve this View an example Get more help . S lar question 6 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=620257974&questionld=1&flushed=false&cld=6873279¢erwin=yes E Math 159-14 Spring 2022 JOU HAN HUANG 03/11/2212:53 PM : Homework' Chapter 6 Homework