#8

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 35 routes that were run by American Railways had a mean of 60.8 minutes and standard deviation of 4.6 minutes. A sample of 32 routes that were run by Midwest Railways had a mean of 51.4 minutes and standard deviation of 4.5 minutes. A claim is made that the mean time for American Railways [#1] is less than the mean time for Midwest Railways {lug}. For each part below. enter only a numeric value in the answer box. For example, do not type "2 =" 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 =