Question: A computer software vendor claims that a new version of its operating system will crash fewer than six times per year on average. A system administrator installs the operating system on a random sample of 41 computers. At the end of a year, the sample mean number of crashes is 7.1, with a standard deviation of 3. 6. Let \({{\text{H}}_{\text{0}}}:\mu =6\,\,\,\,and\,\,\,\,\,{{\text{H}}_{\text{a}}}:\mu >6\).Test at the \[\alpha =0.05\] level of significance. Draw the normal curve, show the test statistic, the critical value and rejection region (s). State a conclusion.

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