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Chapter 9: Q.83 (page 590)

How long does it take for a chunk of information to travel from one server to another and back on the Internet? According to the site internettrafficreport.com, a typical response time is 200milliseconds (about one-fifth of a second). Researchers collected data on response times of a random sample of14servers in Europe. A graph of the data reveals no strong skewness or outliers. The figure below displays Minitab output for a one-sample t interval for the population mean. Is there convincing evidence at the 5%significance level that the site鈥檚 claim is incorrect? Use the confidence interval to justify your answer.

Short Answer

Expert verified

There is sufficient proof to reason that case of site is wrong atsignificance level.

Step by step solution

01

Given information 

Given in the question that, According to the site internettrafficreport.com, a typical response time is200milliseconds (about one-fifth of a second). Researchers collected data on response times of a random sample of 14servers in Europe. A graph of the data reveals no strong skewness or outliers. The figure below displays Minitab output for a one-sample t interval for the population mean.

we need to find that the site鈥檚 claim is incorrect.

02

Explanation

The output is

From the above yield, the 95% confidence interval is (158.22,189.64). It means that there are 95%chances that mean typical response time is somewhere in the range of 158.22 and 189.64 milliseconds. Here, 200 doesn't lie in the processed confidence interval. Accordingly, there is sufficient proof to reason that case of site is wrong at 5% significance level.

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Most popular questions from this chapter

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