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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

For the study of Jordanian children in Exercise 4, the sample mean hemoglobin level was 11.3 g/dl and the sample standard deviation was 1.6 g/dl. A significance test yields a P-value of 0.0016.

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(a) State hypotheses for a significance test to determine whether first responders are arriving within 8 minutes of the call more often. Be sure to define the parameter of interest.

(b) Describe a Type I error and a Type II error in this setting and explain the consequences of each.

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(d) If you sustain a life-threatening injury due to a vehicle accident, you want to receive medical treatment as quickly as possible. Which of the two significance tests鈥�H0:渭=6.7versusHa:渭<6.7 or the one from part (a) of this exercise鈥攚ould you be

more interested in? Justify your answer.

Sweetening colas Cola makers test new recipes for loss of sweetness during storage. Trained tasters rate the sweetness before and after storage. From experience, the population distribution of sweetness losses will be close to Normal. Here are the sweetness losses (sweetness before storage minus sweetness after storage) found by tasters from a random sample of 10batches of a new cola recipe:

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Are these data good evidence that the cola lost sweetness? Carry out a test to help you answer this question.

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