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1、Chapter 1919.1H0: The two population locations are the sameH1: The location of population 1 is different from the location of population 2a = = .73, p-value = 2P(Z .73) = 2(1 .7673) = .4654. b = = 1.76, p-value 2P(Z 1.76) = 2(1 .9608) = .0784. c The value of the test statistic increases and the p-va
2、lue decreases.19.2The two population locations are the sameThe location of population 1 is to the right of the location of population 2Rejection region: = 1.645a = = 1.66, p-value P(Z 1.66) = 1 .9515 = .0485. There is enough evidence to infer that the location of population 1 is to the right of the
3、location of population 2.b = = 0, p-value = P(Z 0) = .5. There is not enough evidence to infer that the location of population 1 is to the right of the location of population 2.c The value of the test statistic decreases and the p-value increases.19.3The two population locations are the sameThe loca
4、tion of population 1 is to the left of the location of population 2Rejection region: T = 19Sample 1 Rank Sample 2Rank75590960172373410310662828817786 = 19 = 36There is enough evidence to infer that the location of population 1 is to the left of the location of population 2.19.4The two population loc
5、ations are the sameThe location of population 1 is different from the location of population 2Rejection region: T = 127 or T = 83Sample 1 Rank Sample 2Rank154.082.071.02718.02214.0177.020.52516.03220.02011.5189.5165.02617.02113.0177.0177.02315.0103.03019.0189.5 = 118 = 92There is not enough evidence
6、 to infer that the location of population 1 is different from the location of population 2.19.5The two population locations are the sameThe location of population 1 is to the left of the location of population 2a z = .27, p-value = .3929. There is not enough evidence to infer that the new beer is le
7、ss highly rated than the leading brand.b The printout is identical to that of part a.c All codes that preserve the order produce the same results.19.6The two population locations are the sameThe location of population 1 is different from the location of population 2a z = 3.61, p-value = .0004. There
8、 is enough evidence to infer that the business and economy class differ in their degree of satisfaction.b The printout is identical to that of part a.c All codes that preserve the order produce the same results.19.7 The two population locations are the sameThe location of population 1 is to the righ
9、t of the location of population 2a z = 1.83, p-value = .0340. There is enough evidence to infer that the new painkiller is more effective than aspirin.b The results are identical because the codes in this exercise and in Example 19.2 are ranked identically.19.8The two population locations are the sa
10、meThe location of population 1 is to the right of the location of population 2Rejection region: = 1.645= 1.16, p-value P(Z 1.16) = 1 .8770 = .1230. There is not enough evidence to infer that members of the Mathematics department rate nonparametric techniques as more important than do members of othe
11、r departments.19.9The two population locations are the sameThe location of population 1 is to the left of the location of population 2Rejection region: =, p-value P(Z 1.75) = .0401. There is enough evidence to infer that companies that provide exercise programs should be given discounts.19.10The two
12、 population locations are the sameThe location of population 1 is to the left of the location of population 2Rejection region: = p-value P(Z 1.57) = 1 .9418 = .0582. There is not enough evidence to conclude that public support has decreased between this year and last year.19.12The two population loc
13、ations are the sameThe location of population 1 is different from the location of population 2Rejection region: or = p-value = 2P(Z 1.964), which is slightly less than 2P(Z 1.96) = 2(1 .9750) = .0500. There is enough evidence to infer that men and women experience different levels of stomach upset.1
14、9.13The two population locations are the sameThe location of population 1 is to the right of the location of population 2Rejection region: = p-value = P(Z 2.12) = 1 .9830 = .0170. There is enough evidence to infer that Tastee is superior.19.14The two population locations are the sameThe location of
15、population 1 is to the right of the location of population 2Rejection region: = p-value = P(Z .80) = 1 .7881 = .2119. There is not enough evidence to infer that women perceive another woman wearing a size 6 dress as more professional than one wearing a size 14 dress.19.15a.H0: The two population loc
16、ations are the sameH1: The location of population 1 is to the left of the location of population 2Rejection region: = p-value = P(Z .80) = 2(1 .7881) = .4238. There is not enough evidence to infer that the night and day shifts rate the service differently.19.17H0 :The two population locations are th
17、e sameH1:The location of population 1 (males) is to the left of the location of population 2(females)z = -2.27, p-value = .0116. There is enough evidence to infer that men prefer jobs with higher incomes than do women.19.18H0: The two population locations are the sameH1: The location of population 1
18、(government worker) is to the left of the location of population 2(private-sector worker)z = .080. There is no evidence to infer that government workers show a greater preference for job security than do private-sector workers.19.19H0: The two population locations are the sameH1: The location of pop
19、ulation 1 (self-employed) is to the left of the location of population 2(work for someone else)z = -1.42, p-value = .0775. There is not enough evidence to infer that people who work for themselves prefer shorter work hours with lots of free time than do workers who work for someone else.19.20H0: The
20、 two population locations are the sameH1: The location of population 1 is different from the location of population 2 z = 2.20, p-value = .0278. There is enough evidence to infer that men and women differ in their preference for work that is important and gives a feeling of accomplishment.19.21H0: T
21、he two population locations are the sameH1: The location of population 1 is different from the location of population 2z = 1.23, p-value = .2202. There is not enough evidence to conclude that those who would stop working and those who would continue working differ in their preference for high income
22、.19.22H0: The two population locations are the sameH1: The location of population 1 (continue working) is to the left of the location of population 2(stop working)z = -1.39, p-value = .0816. There is not enough evidence to conclude that those who would continue working have a higher preference for w
23、ork they consider important and gives them a feeling of accomplishment.19.23H0: The two population locations are the sameH1: The location of population 1 is different from the location of population 2z = 1.67, p-value = .0942. There is not enough evidence to conclude that men and women differ in the
24、ir preference for jobs where there is a chance for advancement?19.24H0: The two population locations are the sameH1: The location of population 1 is different from the location of population 2z = 1.15, p-value = .2504. There is not enough evidence to conclude that Democrats and Republicans differ in
25、 their views about the federal income tax that they have to pay.19.25H0: The two population locations are the sameH1: The location of population 1 is different from the location of population 2z = -.756, p-value = .4496. There is not enough evidence to conclude that people who are self-employed diff
26、er from people who work for someone else differ in their views about the federal income tax that they have to pay.19.26H0: The two population locations are the sameH1: The location of population 1 (men) is to the right of the location of population 2 (women)z = 1.42, p-value = .0772. There is not en
27、ough evidence to infer that women are more likely than men to lose their jobs in the next 12 months.19.27H0: The two population locations are the sameH1: The location of population 1 (men) is to the left of the location of population 2 (women)z = -.859, p-value = .1951. There is not enough evidence
28、to infer that men consider themselves to be healthier than women.19.28H0: The two population locations are the sameH1: The location of population 1 (2010) is to the right of the location of population 2 (2012)z = .684, p-value = .2470. There is not enough evidence to infer that Americans were health
29、ier in 2012 than in 2010.19.29 H0: The two population locations are the sameH1: The location of population 1 (2010) is to the left of the location of population 2 (2012)z = -3.02, p-value = .0012. There is enough evidence to infer that Americans were more worried about their chances of losing their
30、jobs in 2010 than in 2012.19.30H0: The two population locations are the sameH1: The location of population 1 (2010) is to the left of the location of population 2 (2012)z = -.742, p-value = .2291. There is not enough evidence to conclude that Americans were more optimistic about their childrens stan
31、dard of living in 2010 than they were in 2012.19.31H0: The two population locations are the sameH1: The location of population 1 is different from the location of population 2z = -.527, p-value = .5982. There is not enough evidence to infer that liberals and conservatives differ in their interest in
32、 information about whats going on in government and politics.19.32H0: The two population locations are the sameH1: The location of population 1 is different from the location of population 2z = -3.71, p-value = .0002. There is enough evidence to conclude that Democrats and Republicans differ in the
33、attention paid to local news on television about the campaign for president.19.33H0: The two population locations are the sameH1: The location of population 1 is different from the location of population 2z = -.647, p-value = .5174. There is not enough evidence to conclude that men and women differ
34、in their interest in information about whats going on in government and politics.19.34H0: The two population locations are the sameH1: The location of population 1 (voted for Obama) is to the right of the location of population 2(voted for McCain)z = 5.95, p-value = 0. There is sufficient evidence t
35、o conclude that those who voted for Obama are more likely to believe that the economy has gotten worse in the year prior to the election.19.35The two population locations are the sameThe location of population 1 is different from the location of population 2Rejection region: or z = = = 2.24, p-value
36、 = 2P(Z 2.24) = 2(.0125) = .0250. There is enough evidence to infer that the population locations differ. 19.36The two population locations are the sameThe location of population 1 is to the left of the location of population 2Rejection region: z = = = 1.57, p-value = P(Z 1.10) = 1 .8643 = .1357. Th
37、ere is not enough evidence to infer that the location of population 1 is to the right of the location of population 2.19.38The two population locations are the sameThe location of population 1 is to the right of the location of population 2Pair A B Sign of Difference153+232+ 3440 423 5330 641+ 7330
38、854+ 942+ 1035 1141+ 1252+ 1342+ 1453+ 1532+ 16220Rejection region: x = 10, n = 12, = = 2.31, p-value = P(Z 2.31) = 1 .9896 = .0104There is enough evidence to infer that the population 1 is located to the right of population 2.19.39The two population locations are the sameThe location of population
39、1 is different from the location of population 2Rejection region: or ; = = .92, p-value = 2P(z 1.58) = 1 .9429 = .0571. There is not enough evidence to conclude that population 1 is located to the right of the location of population 2.19.41The two population locations are the sameThe location of pop
40、ulation 1 is different from the location of population 2Rejection region: = 19 or = 2Pair Sample 1 Sample 2 Difference |Difference| Ranks195445.521210223.531311223.5489111.5573445.56109111.5 _ = 19.5 = 1.5T = 19.5. There is enough evidence to infer that the population locations differ.19.42The two p
41、opulation locations are the sameThe location of population 1 is different from the location of population 2Rejection region: = 39 or = 6Pair Sample 1 Sample 2 Difference |Difference| Ranks118.218.200214.114.100324.56.5411.9259.59.5006.85 71.28816.76.5919.6
42、2.341121.721223.49 _ = 34.5 = 10.5T = 34.5. There is not enough evidence to conclude that the population locations differ.19.43The two population locations are the sameThe location of population 1 is to the right of the location of population 2a z = 1.84, p-value
43、= .0332. There is enough evidence to indicate that the new beer is more highly rated than the leading brand.b The printout is identical to that of part a.c All codes that preserve the order produce the same results.19.44The two population locations are the sameThe location of population 1 is to the
44、right of the location of population 2a z = 1.00, p-value = .1587. There is no evidence to infer that Brand A is preferred.b The printout is identical to that of part a.c All codes that preserve the order produce the same results.19.45The two population locations are the sameThe location of populatio
45、n 1 is to the right of the location of population 2a z = 2.29, p-value = .0109. There is enough evidence to infer that the European car is perceived to be more comfortable.b The results are identical. All codes that preserve the order produce the same results.19.46The two population locations are th
46、e sameThe location of population 1 is different from the location of population 2a. z = 2.06, p-value = .0396. There is enough evidence to infer that the population locations differ.bz = .52, p-value = .6032. There is not enough evidence to infer that the population locations differ.c The sign test
47、ignores the magnitudes of the paired differences whereas the Wilcoxon signed rank sum test does not.19.47The two population locations are the sameThe location of population 1 is different from the location of population 2a z = 1.44, p-value .1490. There is not enough evidence to infer that the popul
48、ation locations differ.bz = 2.91, p-value = .0036. There is enough evidence to conclude that the population locations differ.c The sign test ignores the magnitudes of the paired differences whereas the Wilcoxon signed rank sum test does not.19.48The two population locations are the sameThe location of population 1 is to the left of the location of population 2Rejection region: ; = = 5.25, p-value = P(Z 5.25) = 0. There is enough evidence to infer that the drug is effective.19.49The two population locations are the sameThe location of population 1
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