Emma's On-the-Go, a large convenience store, has to decide where in the store to put its magazine rack. The manager at Emma's experiments with a selection of different locations, choosing a sample of...


Emma's On-the-Go, a large convenience store, has to decide where in the store to put its magazine rack. The manager at Emma's experiments with a selection<br>of different locations, choosing a sample of days at each location. Each day, the manager records the amount of money brought in from the sale of magazines.<br>It's possible to test whether there is a difference in the mean daily sales for the different locations by doing a one-way, independent-samples ANOVA test. The<br>variable of interest is the daily sales, in dollars, from magazines at Emma's. In the ANOVA test, the

Extracted text: Emma's On-the-Go, a large convenience store, has to decide where in the store to put its magazine rack. The manager at Emma's experiments with a selection of different locations, choosing a sample of days at each location. Each day, the manager records the amount of money brought in from the sale of magazines. It's possible to test whether there is a difference in the mean daily sales for the different locations by doing a one-way, independent-samples ANOVA test. The variable of interest is the daily sales, in dollars, from magazines at Emma's. In the ANOVA test, the "groups" are the different locations, and the "samples" are the daily magazine sales actually examined by the manager. (a) The following ANOVA table gives a summary of such an ANOVA test. Fill in the missing cell in the table (rounded to two decimal places). Source of Degrees of Sum of freedom Mean square F statistic ? variation squares Treatments (between 5 7419.81 1483.96 groups) Error 276 108,799.2 394.2 (within groups) Total 281 116,219.01 (b) How many locations were looked at by the manager? (c) For the ANOVA test, it is assumed that the variance is the same for each population of daily sales (that is, for the populations of daily sales for each location). What is an unbiased estimate of this common population variance based on the sample variances? ? (d) What is the p-value corresponding to the F statistic for the ANOVA test? Round your answer to at least three decimal places. ? (e) Can we conclude, using the 0.05 level of significance, that there is a difference in the mean daily sales among the different locations? Yes O No
Jun 10, 2022
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