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that all young adult men is greater the IC than 50 min d the 65 74 66 37 45 68 64 50 48 65 58 55 52 63 59 57 74 65 the 11.38 1138 The club professional at a difficul that his course is so tough that t course boasts average golfer loses a dozen or more golf balls d ng a round of golf. A dubious golfer sets out to show that the pro is fibbing. He asks a random le of 15 golfers who just completed their rounds to report the number of golf balls each lost. ASsmi that the number of golf balls lost is normall tributed with a standard deviation of 3, can the 10% significance level that the average num- ber of golf balls lost is less than 12? ows se and y dis we infer an 1 14 8 15 17 10 12 6 14 21 15 9 11 4 8 11.39 Ar11-39 A random sample of 12 second-year uni versity students enrolled in a business statistics course was drawn. At the courses completion, each student was asked how many hours he or she spent doing homework in statistics. The data are listed here. It is known that the population standard deviation is ơ--8.0. The instructor has recom- mended that students devote 3 hours per week for the duration of the 12-week semester, for a total of 36 hours. Test to determine whether there is evidence that the average student spent less than the recommended amount of time. Compute the lue nd value of the test. 31 40 26 30 36 38 29 40 38 30 35 38 11.40 Xr11.40 The owner of a public golf course is s con cerned about slow play, which clogs the course ar results in selling fewer rounds. She problem lies in the amount of time taken to putts on the green. To investigate the she randomly samples 10 foursome the amount of time they spend on th The data are listed here. Assuming that are normally distributed with a standard of 2 minutes ront and measures

11.41 A machine that produces ball bearin INTRODUCTION T that the average diameter is .50 inch. A sa carings is set 10 ball bearings was measured, with the results ming that the standard deviation 05 inch, can we conclude at the 5% significance here. Assu hown s , scores of MBA tively. Twenty were random vel that the mean diameter is not .50 inch? If 48 .50 49 52 .53 48 49 47 46 51 GMAT scores as that of 5 yea the mean, can r11-42 Spam e-mail has become a serious and costly ce. An office manager believes that the aver- mount of time spent by office workers read level that the c e a serious and costly 146 Xr11.46 Past e nuisance ing and deleting spam exceeds 25 minutes per da To test this belief, he takes a random sample of 18 workers and measures the amount of time each pends reading and deleting spam. The results are listed here. If the population of times is normal with astandard deviation of 12 minutes, can the manager infer at the 1 % significance level that he is correct? with a mean of $3.87. Aft ncreasing lo a. Do the da b. What ass 35 48 29 44 17 21 32 28 34 11.47 Xr1147 In a 23 13 9 11 30 42 37 43 48 person-hour ment. In a te The following exercises require the use of a computer and sofrware. The answers may be calculated manually. See Appendix A for the a random S sample statistics. before and 11.43 Ar11-43 A manufacturer of lightbulbs advertises that on average, its long-life bulb will last more than 5,000 hours. To test the claim, a statistician took a random sample of 100 bulbs and measured the amount of time until each bulb burned out. If we assume that the lifetime of this type of bulb hasa ula we infer at ull standard deviation of 400 hours, can we conclude 11.48 Xr1148 A average sp t the 5% significance level that the clain is true? ations, the president of a company argues that e companys blue-collar workers, who are paid an verage of $30,000 per year, are well paid because the mean annual income of all blue-collar workers 11.44 Xr11-44 44 In the midst of labor-management nego belief? W th 11.49 Xr11-49 A disputed by the union, which does not believe that the mean blue-collar income is less than $30,000 n the country is less than $30,000. That figure or ue-collar work ch to report o test the company presidents belief, an arbitrator uic draws a random sample o ers from across the country and asks ea his or her annual income. If the arbitrator: that the blue-collar incomes are norma mes psi lly distrib- ndard deviation of $8,000, can it be l that the com

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Here ) Sample Size :)= 12 p2 standard deviation 8 Let X be the RV thed denotes the # houB en Atid enth Mume ¢- : given hot iven. To test Ho : μ= 36 a Here , the β-value R。(T <to) 36 6 8 2:52 =, t-09941Let x lenotes the diamete of ball carlir id Ho Here, X- -493 Cfrom the giien data) to -UB (.493-6.5) o OS 一一0.4424 : 1-5 (예 4427) + 1-3 (0:44 27) 2-2 X 0.67003 = 0.6G Heve, level of gmitcance We accept Ho f1ence, we cannot condude太at at the S./. level of Significance ,the mean dlamee is

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