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A company is doing a hypothesis test to determine two machines

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A company is doing a hypothesis test to determine two machines to
determine which produces less variation in package size. Both distributions are normal, and the populations are independent. Use α
α= 0.01

Ho : σ
σ
1 2 = σ
σ
2 2
Ha : σ
σ
1 2 > σ
σ
2 2

A sample from the first machine has a standard deviation of 2.7379 with a sample size of 30.

A sample from the second machine has a standard deviation of 4.7451 with a sample size of 28.

The test statistic is =
(Report answer accurate to two decimal places.)

Thus, the decision is:

-Fail to reject the null hypothesis
-Reject the null hypothesis

 
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