大学课件-商务与经济统计习题答案(第8版中文版)SBE8-SM09.doc
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1、Hypothesis TestingChapter 9Hypothesis TestingLearning Objectives1.Learn how to formulate and test hypotheses about a population mean and/or a population proportion.2.Understand the types of errors possible when conducting a hypothesis test.3.Be able to determine the probability of making various err
2、ors in hypothesis tests.4.Know how to compute and interpret p-values.5.Be able to determine the size of a simple random sample necessary to keep the probability of hypothesis testing errors within acceptable limits.6.Know the definition of the following terms:null hypothesisone-tailed testalternativ
3、e hypothesistwo-tailed testtype I errorp-valuetype II erroroperating characteristic curvecritical valuepower curvelevel of significanceSolutions:1.a.H0:m 600Managers claim.Ha:m 600b.We are not able to conclude that the managers claim is wrong.c.The managers claim can be rejected. We can conclude tha
4、t m 400.2.a.H0:m 14Ha:m 14Research hypothesisb.There is no statistical evidence that the new bonus plan increases sales volume.c.The research hypothesis that m 14 is supported. We can conclude that the new bonus plan increases the mean sales volume.3.a.H0:m = 32Specified filling weightHa:m 32Overfil
5、ling or underfilling existsb.There is no evidence that the production line is not operating properly. Allow the production process to continue.c.Conclude m 32 and that overfilling or underfilling exists. Shut down and adjust the production line.4.a.H0:m 220Ha:m 220Research hypothesis to see if mean
6、cost is less than $220.b.We are unable to conclude that the new method reduces costs.c.Conclude m 1b.Claiming m 1 when it is not. This is the error of rejecting the products claim when the claim is true.c.Concluding m 1 when it is not. In this case, we miss the fact that the product is not meeting i
7、ts label specification.7.a.H0:m 8000Ha:m 8000Research hypothesis to see if the plan increases average sales.b.Claiming m 8000 when the plan does not increase sales. A mistake could be implementing the plan when it does not help.c.Concluding m 8000 when the plan really would increase sales. This coul
8、d lead to not implementing a plan that would increase sales.8.a.H0:m 220Ha:m 220b.Claiming m 220 when the new method does not lower costs. A mistake could be implementing the method when it does not help.c.Concluding m 220 when the method really would lower costs. This could lead to not implementing
9、 a method that would lower costs.9.a.z = -1.645Reject H0 if z 2.05b.c.Area from z = 0 to z = 1.36 is .4131p-value = .5000 - .4131 = .0869d.Do not reject H011.Reject H0 if z -1.645a. Reject H0b. Do not reject H0 c. Do not reject H0d. Reject H012.a.p-value = .5000 - .4656 = .0344Reject H0b.p-value = .
10、5000 - .1736 = .3264Do not reject H0c.p-value = .5000 - .4332 = .0668Do not reject H0d.z = 3.09 is the largest table value with .5000 - .4990 = .001 area in tail. For z = 3.30, the p-value is less than .001 or approximately 0. Reject H0.e.Since z is to the left of the mean and the rejection region i
11、s in the upper tail, p-value = .5000 + .3413 = .8413. Do not reject H0.13.a.H0:m 1056Ha:m 1056 b.Reject H0 if z 2.33b.c.Reject H0; conclude the mean television viewing time per day is greater than 6.70.15.a.z.05 = 1.645Reject H0 if z -1.645b.c.Reject H0; conclude that the mean sales price of used ca
12、rs is less than the national average.16.a.H0:m 13Ha:m 13b.z.01 = 2.33Reject H0 if z 15b.c.p-value = .5000 - .4985 = .0015d.Reject H0; the premium rate should be charged.18.a.H0:m 5.72Ha:m 5.72b.c. p-value = .5000 - .4830 = .0170d.p-value a; reject H0. Conclude teens in Chicago have a mean expenditur
13、e greater than 5.72. 19.a.H0:m 181,900Ha:m 181,900b.c.p-value = .5000 - .4983 = .0017d.p-value 37,000b.c. p-value = .5000 - .4292 = .0708d.p-value a; do not reject H0. Cannot conclude population mean salary has increased in June 2001.21.a.Reject H0 if z 1.96b.Reject H0; conclude Ha is true.22.a.Reje
14、ct H0 if z 2.33b.c.p-value = (2) (.5000 - .3708) = .2584d.Do not reject H023.Reject H0 if z 1.96a. Reject H0b. Do not reject H0c. Do not reject H0d. Reject H024.a.p-value = 2 (.5000 - .4641) = .0718Do not reject H0b.p-value = 2(.5000 - .1736) = .6528Do not reject H0c.p-value = 2(.5000 - .4798) = .04
15、04Reject H0d.approximately 0Reject H0e.p-value = 2(.5000 - .3413) = .3174Do not reject H025. a.z.025 = 1.96Reject H0 if z 1.96b.c.Do not reject H0. Cannot conclude a change in the population mean has occurred.d.p-value = 2(.5000 - .4382) = .123626.a.H0:m = 8Ha:m 8Reject H0 if z 1.96b.c.Do not reject
16、 H0; cannot conclude the mean waiting time differs from eight minutes.27.a.H0:m = 16Continue productionHa:m 16Shut downReject H0 if z 1.96b.Reject H0 and shut down for adjustment.c.Do not reject H0; continue to run.d.For = 16.32, p-value = 2 (.5000 - .4857) = .0286For = 15.82, p-value = 2 (.5000 - .
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