e on server 2. samples across the two servers is taken. 196 observations on se = 12.5 seconds and a sample variance of s² = 9 seconds. 225 ol ple mean of X = 12.2 seconds and a sample variance of s² = 16 ne null and alternative hypothesis that will address the goal of t istic, and state how you would obtain the p-value. p-value is very large (closer to 1), using a 0.05 significance leve you would conclude about the null and alternative hypothesis.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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1. A company wants to find out if the average response time to a request differs across its two servers.
Say ₁ 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 s² 9 seconds. 225 observations on server 2
return a sample mean of X = 12.2 seconds and a sample variance of s² = 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), using a 0.05 significance level. In a sentence or two
explain what you would conclude about the null and alternative hypothesis.
Transcribed Image Text:1. A company wants to find out if the average response time to a request differs across its two servers. Say ₁ 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 s² 9 seconds. 225 observations on server 2 return a sample mean of X = 12.2 seconds and a sample variance of s² = 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), using a 0.05 significance level. In a sentence or two explain what you would conclude about the null and alternative hypothesis.
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