Question
1.FryBrothersheatingandAirConditioning,Inc.employsLarryClarkandGeorgeMurnentomakeservicecallstorepairfurnacesandairconditioningunitsinhomes.TomFry,theowner,wouldliketoknowwhetherthereisadifferenceinthemeannumberofservicecallstheymakeperday.AssumethepopulationstandarddeviationforLarryClarkis1.05callsperdayand1.23callsperdayforGeorgeMurnen.Arandomsampleof40dayslastyearshowedthatLarryClarkmadeanaverageof4.77callsperday.Forasampleof50daysGeorgeMurnenmadeanaverageof5.02callsperday. Atthe.05significancelevel,isthereadifferenceinthemeannumberofcallsperdaybetweenthetwoemployees?Whatisthep-value? Hypothesis Test: Independent Groups (t-test, pooled variance) Larry George 4.77 5.02 mean 1.05 1.23 std. dev. 40 50 n 88 df -0.25000 difference
- 1.FryBrothersheatingandAirConditioning,Inc.employsLarryClarkandGeorgeMurnentomakeservicecallstorepairfurnacesandairconditioningunitsinhomes.TomFry,theowner,wouldliketoknowwhetherthereisadifferenceinthemeannumberofservicecallstheymakeperday.AssumethepopulationstandarddeviationforLarryClarkis1.05callsperdayand1.23callsperdayforGeorgeMurnen.Arandomsampleof40dayslastyearshowedthatLarryClarkmadeanaverageof4.77callsperday.Forasampleof50daysGeorgeMurnenmadeanaverageof5.02callsperday.
Atthe.05significancelevel,isthereadifferenceinthemeannumberofcallsperdaybetweenthetwoemployees?Whatisthep-value?
Hypothesis Test: Independent Groups (t-test, pooled variance) | |||||||
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| Larry | George |
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| 4.77 | 5.02 | mean |
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| 1.05 | 1.23 | std. dev. |
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| 40 | 50 | n |
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| 88 | df |
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| -0.25000 | difference (Larry - George) |
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| 1.33102 | pooled variance |
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| 1.15370 | pooled std. dev. |
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| 0.24474 | standard error of difference |
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| 0 | hypothesized difference |
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| -1.02 | t |
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| .3098 | p-value (two-tailed) |
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| -0.73636 | confidence interval 95.% lower |
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| 0.23636 | confidence interval 95.% upper |
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| 0.48636 | margin of error |
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