Internet Response Times. Use the following information for Exercises 45 and 46: The Web site www.internettrafficreport.com monitors Internet traffic worldwide and reports on the response times of randomly selected servers.

Question 9.241

45. On June 6, 2011, the Web site reported the following response times to Asia, in milliseconds:

165 175 2221 872 311 127 195 1801 769 225 261 249 421

We want to test whether the population mean response time is slower than 180 milliseconds, using a test and level of significance . A boxplot of the data is provided.

image

(Hint: The boxplot is right-skewed and the normal distribution is symmetric.) Can we proceed with the test? Explain.

9.4.45

No. The distribution of the variable is not normal and the sample size is less than 30.