A service station owner believes that equal numbers of customers prefer to buy gasoline on every day of the week. A manager at the service station disagrees with the owner and claimed that the number of customers who prefer to buy gasoline on each day of the week varies. Test the manager's claim using 0.10 level of significance. The owner surveyed 739 customers over a period of time to record each customer's preferred day of the week. Here's what he found. Number Monday 103 Preferred Day to Buy Gasoline Wednesday Thursday Friday Saturday Sunday 126 103 111 96 97 Tuesday 103 Ho: PM = PT = Pw = PR = PF = Ps = Ps H₁: There is some differences amongst the probabilities. Day of Week Observed (o) Monday Tuesday Wednesday Thursday Friday Saturday Sunday 103 103 126 103 111 96 97 Total = 739 p-value: 0.4250 on Calculator 0.4250 0.10 Fail to Reject Expected (e) Degrees of freedom = 7-1=6 (number of classes - 1) Critical Value: x²: 10.645 From x² Table 739/7 105.57 105.57 105.57 105.57 105.57 105.57 105.57 0-e (o-e)² -2.57 6.6122 -2.57 6.6122 20.429 417.33 -2.57 6.6122 5.4286 29.469 -9.571 91.612 -9.571 73.469 (o-e)² e .0626 .0626 3.953 .0626 .27914 .86777 .69592 = 5.984 Test Statistic Conclusion: At the .10 level of significance the evidence does not support the manager's claim that the number of customers who prefer to buy gasoline on each day of the week varies.

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