Q.83 How long does it take for a chun... [FREE SOLUTION]

91影视

The Practice of Statistics for AP

David Moore,Daren Starnes,Dan Yates

$Math Studyset 91影视 Explanations$ Math

4th Edition 路 809 pages

ISBN: 9781319113339

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 $200$ milliseconds (about one-fifth of a second). Researchers collected data on response times of a random sample of $14$ servers 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

Given information

Given in the question that, According to the site internettrafficreport.com, a typical response time is $200$ milliseconds (about one-fifth of a second). Researchers collected data on response times of a random sample of $14$ servers 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.

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.