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scovarrubias scovarrubias
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The Wall Street Journal reported that there is evidence that Mac users are shown more expensive hotel prices when using Orbitz than PC users. Perform a hypothesis test to determine if the average hotel price for Mac users on Orbitz is higher than for PC users. The following data summarizes the sample statistics for hotel prices provided to each type of user from Orbitz. Assume that the population variances are equal.



Define Population 1 as Mac users and Population 2 as PC users and use the critical value approach to test this hypothesis with α = 0.01.
Textbook 

Business Statistics


Edition: 2nd
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yerkebulanyerkebulan
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H0μ1 - μ2 ≤ 0
H1μ1 - μ2 > 0
α = 0.01
d.f. = n1 + n2 - 2 = 20 + 17 - 2 = 35
tα = 2.438

Because  = 2.61 is greater than tα = 2.438, we reject the null hypothesis. Therefore, we can conclude that the average hotel price shown to Mac users on Orbitz is higher than the average hotel price shown to PC users.

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