3. A company wants to find out if the average response time to a request differs...

3. A company wants to find out if the average response time to a request differs across its two servers. Say µ1 is the true mean/expectation response time on server 1 and µ2 the true mean/expectation response time on server 2. Independent samples across the two servers is taken. 196 observations on server 1 return a sample mean of X¯ = 12.5 seconds and a sample variance of s 2 = 9 seconds. 225 observations on server 2 return a sample mean of X¯ = 12.2 seconds and a sample variance of s 2 = 16 seconds.

a. Write the null and alternative hypothesis that will address the goal of the company. Compute the test statistic, and state how you would obtain the p-value.

b. Say the p-value is very large (closer to 1). In a sentence or two explain what you would conclude about the null and alternative hypothesis.

c. Create and interpret a 95% confidence interval for the difference in the two servers population expectations.

d. The 95% confidence interval from part c. contains 0. How does this result relate to your explanation in part b? Explain in a sentence or two.

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Expert Solution

orchestra answered 1 year ago

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