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We need to examine the difference in the average time it takes two different passenger trains...

We need to examine the difference in the average time it takes two different passenger trains to complete a certain route. The standard deviations of these populations are unknown, but they are assumed to be equal to each other. A sample of 41 routes that were run by American Railways had a mean of 76 minutes and standard deviation of 4.1 minutes. A sample of 32 routes that were run by Midwest Railways had a mean of 75.2 minutes and standard deviation of 3.2 minutes. A claim is made that the mean time for American Railways ( μ 1 μ1 ) is greater than the mean time for Midwest Railways ( μ 2 μ2 ). For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t =" before your answers. Round each of your answers to 3 places after the decimal point.

(a) Calculate the value of the test statistic used in this test. Test statistic's value =

(b) Use your calculator to find the P-value of this test. P-value =

math   Statistics-And-Probability   
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