You're a data analyst for an insurance company. You want to make sure that your employer is not over-paying for car repairs. To investigate this, you bring 42 different cars to two different garages, Bubba's Hubcap Heaven and Repair, and Merle's Motor Shop. Some of the cars need lots of repairs. Some of the cars need very few. By taking each car to both shops, we can directly compare the two sets of prices.  The dataset is in an Excel file named "Bubba_v_Merle_4299.xls", which you can find in the "Data" folder under Course Documents.  Before running your analysis, be sure to look at the data file and verify that each car requires a different amount of repairs, and that prices in one shop are correlated with prices at the other shop. That is, they're in the same ballpark.  The question is whether one tends to charge more, on averag

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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You're a data analyst for an insurance company. You want to make sure that your employer is not over-paying for car repairs. To investigate this, you bring 42 different cars to two different garages, Bubba's Hubcap Heaven and Repair, and Merle's Motor Shop. Some of the cars need lots of repairs. Some of the cars need very few. By taking each car to both shops, we can directly compare the two sets of prices. 


The dataset is in an Excel file named "Bubba_v_Merle_4299.xls", which you can find in the "Data" folder under Course Documents. 

Before running your analysis, be sure to look at the data file and verify that each car requires a different amount of repairs, and that prices in one shop are correlated with prices at the other shop. That is, they're in the same ballpark. 

The question is whether one tends to charge more, on average, than the other. Your task is to use Excel to test the research hypothesis that prices are different in the two shops; the null hypothesis is that prices are equal between the two shops. You test at the alpha = 0.01 significance level. 

What do you conclude? Are prices the same? Who has higher prices? 

cost           e1                    e2                                   Bubba                                      Merle
2248        1513              1303                         3761.00                                    3550.00
2195         947                502                             3142.00                                    2696.00
8405        1266              1201                          9671.00                                   9606.00
4087        1316              810                            5403.00                                   4897.00
8913         779               1283                            9692.00                                   10197.00
9046        1433              693                            10479.00                                   9739.00
5514        1113              792                             6627.00                                    6306.00
8102        1246             1031                            9348.00                                    9133.00
-377         1192              676                             815.00                                      299.00
6125        1016             1280                            7141.00                                    7405.00
4900        1138              1357                           6037.00                                     6257.00
5906        943                1066                           6849.00                                     6972.00
7003       1071                60                              8074.00                                     7064.00
2875       1583               943                             4458.00                                     3818.00
4938       887                 874                             5825.00                                     5812.00
10683     512                1162                           11195.00                                    11845.00
3148        761                841                            3909.00                                      3988.00
5411       1329               904                            6740.00                                      6315.00
5856       1566              896                             7422.00                                      6752.00
4506       1254             1057                            5760.00                                      5563.00
8630       1252              944                             9882.00                                      9574.00
2780        1347            1117                            4127.00                                      3897.00
7546        1322             867                             8868.00                                     8413.00
5532       1237             1013                            6769.00                                     6545.00
2971       1135             805                              4106.00                                     3776.00
6887       1178             1690                    8065.00                                     8577.00
8654       893               681                       9548.00                                     9335.00
7101       1621            1166                     8722.00                                    8267.00
6703       1391            949                       8095.00                                    7652.00
6238       1079             875                      7318.00                                 7113.00
6868       889                900                     7757.00                        7768.00
4891      671 951 5561.00 5841.00
5094 1188 992 6282.00 6085.00
8430 773 1021 9203.00 9451.00
6664 1134 475 7797.00 7138.00
8832 1492 762 10324.00 9594.00
6318 1272 1503 7590.00 7821.00
6405 689 639 7094.00 7044.00
3027 1502 893 4529.00 3920.00
6466 1075 716 7541.00 7181.00
5964 1364 1600 7328.00 7563.00
6976 1513 766 8489.00 7742.00

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