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To prevent E. coli, meat should be cooked to an internal temperature of at least 160°F....

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Statistics

To prevent E. coli, meat should be cooked to an internaltemperature of at least 160°F. However, different meat pattiescooked for the same amount of time will have different finalinternal temperatures because of variations in the patties andvariations in burner temperatures. A regional hamburger chain plansto replace its current burners with one of two new digitallycontrolled models. If there is a significant difference in thevariance of the two models, the chain will select the model withthe smaller variance in the final internal meat temperature. Thechain's purchasing directors have arranged to randomly sample 11patties cooked by burner model 1 and 13 cooked by burner model2.

Perform a hypothesis test at the 10% significance level to seewhether there is a significant difference between the variances ofthe two burner models.
Model 1Model 2
1180.0178.6
2181.5182.3
3178.9177.5
4176.4180.6
5180.7178.3
6181.0180.7
7180.3181.4
8184.6180.5
9185.6179.6
10179.7178.2
11178.9182.0
12181.5
13180.8

Answer & Explanation Solved by verified expert
3.5 Ratings (547 Votes)
First of all we find the sample standard deviation for bothModelsLet S12 denote the sample variance forModel    See Answer
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