Technicians suspect that one of your web servers has much greater consistency in response times than another. You take a sample of 300 response times from server 1, and find a standard deviation of 48.9; a sample of 275 from server 2 gives a standard deviation of 43.5. The next several questions refer to finding a 95% confidence interval for the variance in server 1's response times. 1.)What is the chi-square value for the left side of the interval?

a.) What is the lower limit of the confidence interval for variance?

b.) What is the upper limit of the confidence interval for variance?

c.) What is the lower limit of the confidence interval for standard deviation?

d.) What is the upper limit of the confidence interval for standard deviation?

2.) The next several questions refer to doing a hypothesis that the variance for server 1 is greater than the variance for server 2, at a 95% confidence level. Do your test, and then answer the following questions based on your work.

a.) What is the correct alternative hypothesis?

b.) Which distribution is used for this hypothesis test?

c.) What is the value of the test statistic (i.e., z, t, chi-square, F, etc.--depending on the test/distribution you are using)? Give your answer to at least three decimal places.

d.) What is the p-value (to at least three decimal places)?

e.) What is the correct conclusion?