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A grocery store needs coolers to maintain a fairly constant temperature. There will be a problem...

A grocery store needs coolers to maintain a fairly constant temperature. There will be a problem with the coolers if the variance exceeds 3.7. The store manager believes the coolers have too large of a variance. He measures the temperature 41 different times and find the standard deviation of temperatures is 2.3 ∘F. Use the information to test the store manager's claim at the .01 significance level.

a) Identify the null and alternative hypothesis and give the critical value .

HO:                                                                 HA:

Critical Value:

b} Calculate the test statistic.

c) Decide if whether to reject HO or fail to reject HO.

Then explain your conclusion in non-technical terms using a sentence that addresses the original claim

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