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A college claims that commute times to the school have a mean of 60 minutes with...

A college claims that commute times to the school have a mean of 60 minutes with a standard deviation of 12 minutes.  Assume that student commute times at this college are normally distributed.  A statistics student believes that the variation in student commute times is greater than 12 minutes.  To test this a sample of 71 students in chosen and it is found that their mean commute time is 58 minutes with a standard deviation of 14.5 minutes.

At the 0.05 level of significance, test the claim that the variation in commute times for students at this college is greater than 12 minutes.

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