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 data 4. Which procedure, t or Wilcoxon, is more appropriate in this situation? Why? Are repair costs generally higher for female customers than for male customers? data4 'RepairShop'  'Female'  'Male' 1                      871         792 2                      684         765 3                      795         511

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 66E
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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 data 4. Which procedure, t or Wilcoxon, is more appropriate in this situation? Why? Are repair costs generally higher for female customers than for male customers?

data4

'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

 

"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
Transcribed Image Text:"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
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