Question: A computer system administrator notices that computers running a particular operating system seem to crash more often as the installation of the operating system ages.

A computer system administrator notices that computers running a particular operating system seem to crash more often as the installation of the operating system ages. She measures the time (in minutes) before crash for seven computers one month after installation, and for nine computers seven months after installation. The results are as follows: One month after installation 209 230 217 230 221 243 247 Seven

a. Explain why it is necessary to check whether the populations are approximately normal before constructing a confidence interval.

b. Following are dotplots of these data. Is it reasonable to assume that the populations are approximately normal? months after installation 85 59 129 201 176 240 149 154 105

c. If appropriate, construct a 95% confidence interval for the mean difference in time to crash between the first month after installation and the seventh. If not appropriate, explain why not.

One month after installation 209 230 217 230 221 243 247 Seven months after installation 85 59 129 201 176 240 149 154 105

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