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 and claims that the new operating system will crash more than six times per year on average.   At the end of year, the system administrator samples 41 computers with the new operating system and finds that the mean number of crashes on those computers for the year was 7.1 with sample standard deviation of 3.6 crashes.

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Chapter1: Starting With Matlab
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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 and claims that the new operating system will crash more than six times per year on average.

 

At the end of year, the system administrator samples 41 computers with the new operating system and finds that the mean number of crashes on those computers for the year was 7.1 with sample standard deviation of 3.6 crashes.


Can you conclude that the system administrator’s claim is correct? Use the critical value method to perform a hypothesis test at the 0.05 level of significance.

 

Select the correct conclusion for this test:


a. We fail to reject the null hypothesis because the test statistics is in the critical region.
b. We fail to reject the null hypothesis because the test statistics is not in the critical region.
c. We reject the null hypothesis because the test statistics is in the critical region.
d. We reject the null hypothesis because the test statistics is not in the critical region.

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