researcher would like to conduct a hypothesis test to determine if the mean age of faculty cars is less than the mean age of student cars.  A random sample of 25 student cars had a sample mean age of 7 years with a sample variance of 20, and a random sample of 32 faculty cars had a sample mean age of 5.8 years with a sample variances of 16.  What is the critical value of the rejection region if the difference is taken as student - faculty and the test is conducted using a 5% significance level?

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A researcher would like to conduct a hypothesis test to determine if the mean age of faculty cars is less than the mean age of student cars.  A random sample of 25 student cars had a sample mean age of 7 years with a sample variance of 20, and a random sample of 32 faculty cars had a sample mean age of 5.8 years with a sample variances of 16.  What is the critical value of the rejection region if the difference is taken as student - faculty and the test is conducted using a 5% significance level?

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