Perform a hypothesis test, at α = 0.05, to determine whether all Bush voters had a greater average commuting time than all Gore voters. Determine the test statistic and p-value.
The following information was collected, in 2001, in an effort to determine whether Bush voters had a greater commuting distance than Gore voters.
A random sample of n = 5 Bush voters was taken and it was found that the average commuting time for these 5 Bush voters was 19.6 minutes with a standard deviation of s = 4.3 minutes.
A random sample of n = 4 Gore voters was taken and it was found that the average commuting time for these 4 Gore voters was 19.1 minutes with a standard deviation of s = 3.2 minutes.
A sample mean difference was calculated to be 1.301 minutes, and a sample standard deviation sd was calculated to be 1.620 minutes.
All samples were determined to have come from
Perform a hypothesis test, at α = 0.05, to determine whether all Bush voters had a greater average commuting time than all Gore voters.
Determine the test statistic and p-value.
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