6 mylab.pearson.com/Student/PlayerTest.aspx7testld=239405706¢erwin=yes E Math 159-14 Spring 2022 JOU HAN HUANG 03/11/22 2:48 PM . _ . . This quiz 0 point(s) possible ' ' ' Qurz. Chapter 6 Qurz Quest: n 6 of 1 This ques mm 1 minus) possible i Submit quiz Awater taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 180 lb and a standard deviation of 45 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3500 lb, what is the maximum mean weight of the passengers if the water taxi is lled to the stated capacity of 25 passengers? The maximum mean weight is lb. (Type an integer or a decimal. Do not round.) b. If the water taxi is lled with 25 randomly selected passengers, what is the probability that their mean weight exceeds the value from part (a)? The probability is . (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is lled with 20 randomly selected passengers, what is the probability that their mean weight exceeds 175 lb, which is the maximum mean weight that does not cause the total load to exceed 3500 lb? The probability is . (Round to four decimal places as needed.) d. Is the new capacity of 20 passengers safe? Since the probability of overloading is over 50%, the new capacity E to be safe enough. does not appear appears wwwwwwmmw Statcrunch mylab.pearson.com/Student/PlayerTest.aspx?testld=239405706¢erwin=yes GZ Math 159-14 Spring 2022 JOU HAN HUANG 03/11/22 2:49 PM ? Quiz: Chapter 6 Quiz Question 7 of 10 This quiz: 10 point(s) possible This question: 1 point(s) possible Resume later Submit quiz Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. 0.7 The indicated IQ score, x, is .(Round to one decimal place as needed.) X More Statcrunch Nextmylab.pearson.com/Student/PlayerTest.aspx?testld=239405706¢erwin=yes GZ Math 159-14 Spring 2022 JOU HAN HUANG 03/11/22 2:49 PM ? Quiz: Chapter 6 Quiz Question 8 of 10 This quiz: 10 point(s) possible This question: 1 point(s) possible Resume later Submit quiz Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 0.7389 Z The indicated z score is 1. (Round to two decimal places as needed.) More Statcrunch Next6 mylab.pearson.com/Student/PlayerTest.aspx7testld=239405706¢erwin=yes E Math 159-14 Spring 2022 JOU HAN HUANG 03/11/22 2:49 PM This quiz 0 point(s) possible QUIZ: Chapter 6 QUIZ GueSti n 9 0f 1 This ques tan: 1 point(s) possible Submit quiz Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of p= 1.1 kg and a standard deviation of o = 5.3 kg. Complete parts (a) through (c) below, a. If 1 male college student is randomly selected, nd the probability that he gains between 0 kg and 3 kg during freshman year The probability is . (Round to four decimal places as needed.) b. If 4 male college students are randomly selected, nd the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is . (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'? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. 0 3. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. 0 c. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size. 0 D. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. Statorunch 6 mylab.pearson.com/Student/PlayerTest.aspx7testld=239405706¢erwin=yes E Math 159-14 Spring 2022 JOU HAN HUANG 03/11/22 2:49 PM This quiz 0 point(s) possible QUIZ: Chapter 6 QUIZ Question 10 0f 10 This ques Ian: 1 point(s) possible Submit quiz Engineers want to design seats in commercial aircraft so that they are wide enough to t 95% of all males. (Accommodating 100% of males would require very wide seats that would be much too expensive) Men have hip breadths that are normally distributed with a mean of 14.8 in. and a standard deviation of 0.8 in. Find P95. That is, nd the hip breadth for men that separates the smallest 95% from the largest 5%. The hip breadth for men that separates the smallest 95% from the largest 5% is P95 = in. (Round to one decimal place as needed.) Statcrunch m