Answer a question both unit 7.1 , 7.2

20. Mendelian Genetics When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas. a. Find a 95% confidence interval estimate of the percentage of yellow peas. b. Based on his theory of genetics, Mendel expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contra- dict Mendel's theory? Why or why not? 24. Job Interviews In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. a. Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression? b. Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. c. Repeat part (b) using a confidence level of 80%. d. Compare the confidence intervals from parts (b) and (c) and identify the interval that is wider. Why is it wider? PAGE 9120. Ages of Race Car Drivers Listed below are the ages {years) of randomly selected race car drivers (based on data reported in USA Today). Construct a 98% condence interval esti- mate of the mean age of all race car drivers. 32 32 33 33 41 29 38 32 33 23 27 45 52 29 25 26. Mean Grade Polnt Average As part ofa study of grade inflation, you want to estimate the mean grade point average of all current college students in the United States. All grade point averages are to be standardized for a scale between 0 and 4. How many grade point averages must be obtained so that the sample mean is within 0.2 of the population mean? As- sume that a 99% condence level is desired. Also assume that a pilot study showed that the population standard deviation is estimated to be 0.79. Does it make sense to collect the entire sample at your college? 27. Buying a Corvette Research of selling prices for used two-year-old Corvettes reveals that they have a standard deviation of $2157 (based on data from Edmunds.com). How many selling prices must you obtain in order to estimate the mean selling price of these cars? Assume that you want 98% confidence that your sample mean is within $250 of the population mean. Is it likely that you will find that many two-year-old used Corvettes in your region? PAGE 101 Lab Assignment Name: Sections 7.2 and 7.3 Due Date: Math 34 This Lab is to be worked in the Math Lab when an instructor is present. You may work with your classmates, but be sure to complete your own assignment to turn in. To receive credit for this assignment you must log in at least 2 hours each week. Section 7.2: 10. Mercury in Sushi Listed below are the amounts of mercury [in parts per million, or ppm) Found in tuna sushi sampled at different Stores in New York City. The Study was spon sored by the New York Times, and the stores (in order) are D'Agostino, Eli's Manhattan, Fairway, Food Emporium, Gourmet Garage, Grace's Marketplace, and Whole Foods. The sample mean is 0.719 ppm and the standard deviation is 0.366 ppm. Construct a 90% confi- dence interval estimate of the mean amount of mercury,' in the population. 0.56 0.75 0.10 0.95 1.25 0.54 0.88 36. Construct the condence interval for Exercise 10 assuming that 0' is known to be 0.366 ppm. 14. Atkins Weight Loss Program In a test of weight loss programs, 40 adults used the Atkins weight loss program. After 12 months, their mean weight for; was found to be 2.1 lb, with a standard deviation of4.8 lb. Construct a 90% condence interval estimate of the mean weight loss for all such subjects. Does the Atkins program appear to he eH'ECtive? Does it appear to be pracrical? PAGE 100 26. Misleading Survey Responses In a survey of 1002 people, 70% said that they voted in a recent presidential election (based on data From ICR Research Group). Voting records show that 61% ofeligible voters actually did vote. a. Find a 98% confidence interval estimate of the proportion of people who say that they voted. 13. Are the survey results consistent with the actual voter turnout of61%? Why or why not? 28. Medication Usage In a survey of 3005 adults aged 57 through 85 years. it was found that 81.7% of them used at least one prescription medication (based on data From \"Use of Prescription and OvertheCounter Medications and Dietary Supplements Among Older Adults in the United States," by Qato et al., journal oft/9e American Medical Association, Vol. 300, No. 24). a. How many of the 3005 subjects used at least one prescription medication? 1). Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication. c. What do the results tell us about the proportion of college students who use at least one prescription medication? PAGE 92 30. Robberies Find the sample size needed to estimate the percentage of robberies in Texas that result in arrests. Use a 0.04 margin of error, use a confidence level of 80%, and assume that j) and are unknown. 32. Fortune Tellers Find the sample size needed to estimate the percentage of adults who have consulted fortune tellers. Use a 0.03 margin of error, use a condence level of 98%. and use results from a prior Pew Research Center poll suggesting that 15% of adults have con- sulted fortune tellers. 34. Windows Penetration You plan to develop a new software system that you believe will surpass the success of Google and Facebook combined. In planning for the operating system that you will use, you need to estimate the percentage of computers that use Windows. How many computers must be surveyed in order to be 99% condent that your estimate is in error by no more than one percentage point? a. Assume that nothing is known about the percentage of computers with Windows operat ing systems. 1). Assume that a recent survey suggests that about 90% oFcomputers use Windows operating systems (based on data from Net Applications). 0. Does the additional survey information From part (b) have much of an effect on the sample size that is required? PAGE 93 Lab Assignment Name: ' Due Date: Section 7.1 Math 34 This Lab is to be worked in the Math Lab when an instructor is present. You may work with your classmates, but be sure to complete your own assignment to turn in. To receive credit for this assignment you must log in at least 2 hours each week. 6. Find the critical value 2\"\" that corresponds to a 99% confidence level. 8. Find zr'Z for a = 0.04. '10. Express the condence interval 0.165