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kyliesalm kyliesalm
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2 weeks ago
Traveler's Insurance would like to test the hypothesis that the average number of miles driven per month by a male teenage driver exceeds the average number of miles driven per month by a female teenage driver by more than 50 miles. The following data summarizes the sample statistics for the miles driven per month by each gender. Assume that the population variances are equal.



Define Population 1 as male drivers and Population 2 as female drivers and use the critical value approach to test this hypothesis with α = 0.05.
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Business Statistics


Edition: 2nd
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H0μ1 - μ2 ≤ 50
H1μ1 - μ2 > 50
α = 0.05
df = n1 + n2 - 2 = 13 + 16 - 2 = 27
tα = 1.703
 
Because  = 1.40 is less than tα = 1.703, we fail to reject the null hypothesis. Therefore, Traveler's Insurance cannot conclude that the average number of miles driven per month by a male teenage driver exceeds the average number of miles driven per month by a female teenage driver by more than 50 miles.

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