A retailer is contemplating building a new store and has to choose between three general regions for construction (locations A, B, and C). To decide where to build, the retailer surveys five stores in each region and records the number of products sold over the same 3-day period at each of the 15 stores. The data appear below:

(Given: MSE = 2740)

Sample number | Location | ||

A | B | C | |

1 | 800 | 770 | 540 |

2 | 910 | 750 | 500 |

3 | 710 | 760 | 600 |

4 | 805 | 700 | 480 |

5 | 790 | 710 | 510 |

Does there appear to be a difference in the mean number of products sold in at least two of the regions? Select the appropriate critical value (CV), test statistic (TS), and decision. (Use*α*= 0.05).

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CV = 3.89; TS = 0.02611; fail to reject*H*_{0}

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CV = 6.93; TS = 0.02611; fail to reject*H*_{0}

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CV = 3.89; TS = 38.29; reject*H*_{0}

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CV = 6.93; TS = 38.29; reject*H*_{0}