Question
In: Statistics and Probability
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.
Solutions
orchestra answered 2 years agoRelated Solutions
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38
33
38
40
37
37
37
39
36
33
36
38
34
38
36
36
34
33
32
35
33
35
35
32
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time taken by one of her hygienists to take X-ray and clean the
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36.80
39.80
38.60
38.30
35.80
32.60
38.70
34.50
37.00
32.00
40.90
33.80
37.10
31.00
35.10
38.20
36.60
38.80
39.60
39.70
35.10
38.20
32.70
40.50
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