A study was conducted to determine whether automobile repair charges are higher for female customers than for male customers. Twenty auto repair shops were randomly selected from the telephone book. Two cars of the same age, brand, and engine problem were used in the study. For each repair shop, the two cars were randomly assigned to a man and woman participant and then taken to the shop for an estimate of repair cost. The repair costs (in dollars) are given in the table. 'RepairShop''Female''Male'1871792268476537955114838520510336186917447710475488723720911798991070778811817927128466571397585114868702151323918167915281711578841893270219108983920770878a) Which procedure, t or Wilcoxon, is more appropriate in this situation? Why? What assumptions are associated with the more appropriate test?Write the null and alternate hypothesisAre repair costs generally higher for female customers than for male customers?

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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A study was conducted to determine whether automobile repair charges are higher for female customers than for male customers. Twenty auto repair shops were randomly selected from the telephone book. Two cars of the same age, brand, and engine problem were used in the study. For each repair shop, the two cars were randomly assigned to a man and woman participant and then taken to the shop for an estimate of repair cost. The repair costs (in dollars) are given in the table.

'RepairShop'	'Female'	'Male'
1	871	792
2	684	765
3	795	511
4	838	520
5	1033	618
6	917	447
7	1047	548
8	723	720
9	1179	899
10	707	788
11	817	927
12	846	657
13	975	851
14	868	702
15	1323	918
16	791	528
17	1157	884
18	932	702
19	1089	839
20	770	878

a) Which procedure, t or Wilcoxon, is more appropriate in this situation? Why? What assumptions are associated with the more appropriate test?
Write the null and alternate hypothesis
Are repair costs generally higher for female customers than for male customers?

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