6 mylab.pearson.com/Student/PlayerTest.aspx7testld=239405706¢erwin=yes E Math 159-14 Spring 2022 JOU HAN HUANG 03/09/22 7:53 PM . _ . . This quiz 0 point(s) possible ' ' ' QUIZ. Chapter 6 Qutz Question 1 of 1 This ques mm 1 point(s) possible i Submit quiz A genetics experiment involves a population of fruit ies consisting of 3 males named Al, Bob, and Carl and 1 female named Diana, Assume that two fruit flies are randomly selected with replacement. a. After listing the possible samples and nding the proportion of males in each sample, use a table to describe the sampling distribution of the proportion of males. Proportion of males Probability 0 0.5 1 (Type integers or fractions) b. Find the mean of the sampling distribution. p = (Round to two decimal places as needed.) o. Is the mean of the sampling distribution [from part (b)] equal to the population proportion of males? It so, does the mean of the sampling distribution of proportions always equal the population proportion? O A. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is an unbiased estimator. O B. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is a biased estimator. O C. No, the sample mean is equal to the population proportion of males. These values are not always equal, because proportion is a biased estimator. O D. No, the sample mean is equal to the population proportion of males. These values are not always equal, because proportion is an unbiased estimator. Statcrunch m 6 mylab.pearson.com/Student/PlayerTest.aspx7testld=239405706¢erwin=yes E Math 159-14 Spring 2022 JOU HAN HUANG 03/09/22 7:54 PM This quiz 0 point(s) possible QUIZ: Chapter 6 QUIZ Questi n 2 Of 1 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 99% 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 14.1 in. and a standard deviation of 0.9 in. Find P99. That is, nd the hip breadth for men that separates the smallest 99% from the largest 1%. The hip breadth for men that separates the smallest 99% from the largest 1% is P99 = in. (Round to one decimal place as needed.) Statcrunch m mylab.pearson.com/Student/PlayerTest.aspx?testld=239405706¢erwin=yes GZ Math 159-14 Spring 2022 JOU HAN HUANG 03/09/22 7:54 PM Quiz: Chapter 6 Quiz Question 3 of 10 This quiz: 10 point(s) possible This question: 1 point(s) possible Resume later Submit quiz Assume that adults have IQ scores that are normally distributed with a mean of 95.8 and a standard deviation of 15.1. Find the probability that a randomly selected adult has an IQ greater than 119.4. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 119.4 is. (Round to four decimal places as needed.) Statcrunch NextThis qu 0 point(s) possible This question: 1 point(s) possible Quiz: Chapter 6 Quiz Question 4 of 10 Find the indicated 2 score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Q a 0.7324 20 The indicated 2 score is . (Round to two decimal places as needed.) 6 mylab.pearson.com/Student/PlayerTest.aspx7testld=239405706¢erwin=yes E Math 159-14 Spring 2022 JOU HAN HUANG 03/09/22 9:34 PM . _ . . This quiz 0 point(s) possible ' ' ' Qurz. Chapter 6 Qurz Quest: n 5 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 193 lb and a standard deviation of 40 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3750 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3750 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 187.5 lb, which is the maximum mean weight that does not cause the total load to exceed 3750 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 E the new capacity V to be safe enough. over 50%, under 5%, Statcrunch 6 mylab.pearson.com/Student/PlayerTest.aspx7testld=239405706¢erwin=yes E Math 159-14 Spring 2022 JOU HAN HUANG 03/09/22 9:34 PM . _ . . This quiz 0 point(s) possible ' ' ' Qurz. Chapter 6 Qurz Quest: n 5 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 193 lb and a standard deviation of 40 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3750 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3750 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 187.5 lb, which is the maximum mean weight that does not cause the total load to exceed 3750 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 l the new capacity E to be safe enough. does not appear appears Statcrunch