There are four auto body shops in a community and all claim topromptly serve cus

Question

There are four auto body shops in a community and all claim topromptly serve customers. To check if there is any difference inservice, customers are randomly selected from each repair shop andtheir waiting times in days are recorded. The output from astatistical software package is: Summary Groups               Count               Sum                   Average            Variance ShopA               3                        15.4               5.133333            0.323333 ShopB               4                        32                  8                          1.433333 ShopC               5                        25.2               5.04                     0.748 ShopD               4                        25.9               6.475                   0.595833 ANOVA Source ofvariation                     SS                        df               MS               F               p-value Betweengroups                                    23.37321                  3          7.791069     9.612506        0.001632 WithinGroups                           9.726167               12         0.810514 Total                                       33.09938                  15          Is there evidence to suggest a difference in the meanwaiting times at the four body shops? Use the .05 significancelevel.     There are four auto body shops in a community and all claim topromptly serve customers. To check if there is any difference inservice, customers are randomly selected from each repair shop andtheir waiting times in days are recorded. The output from astatistical software package is: Summary Groups               Count               Sum                   Average            Variance ShopA               3                        15.4               5.133333            0.323333 ShopB               4                        32                  8                          1.433333 ShopC               5                        25.2               5.04                     0.748 ShopD               4                        25.9               6.475                   0.595833 ANOVA Source ofvariation                     SS                        df               MS               F               p-value Betweengroups                                    23.37321                  3          7.791069     9.612506        0.001632 WithinGroups                           9.726167               12         0.810514 Total                                       33.09938                  15          Is there evidence to suggest a difference in the meanwaiting times at the four body shops? Use the .05 significancelevel.    

Explanation / Answer

Null Hypothesis: there is no evidence tosuggest a difference in the mean waiting times at the four bodyshops Alternative Hypothesis: there isan evidence to suggest a difference in the mean waiting timesat the four body shops Given output Source ofvariation                     SS                        df               MS               F               p-value Betweengroups                       23.37321                  3          7.791069     9.612506        0.001632 WithinGroups                           9.726167               12         0.810514 Total                                       33.09938                  15          Since the p-value is very much less than 0.05,the level of significance so we reject the null hypothesis andconclude that there is an evidence to suggest a difference inthe mean waiting times at the four body shops Source ofvariation                     SS                        df               MS               F               p-value Betweengroups                       23.37321                  3          7.791069     9.612506        0.001632 WithinGroups                           9.726167               12         0.810514 Total                                       33.09938                  15          Since the p-value is very much less than 0.05,the level of significance so we reject the null hypothesis andconclude that there is an evidence to suggest a difference inthe mean waiting times at the four body shops

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