Question: 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

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= 0.01

Ho:12=22

Ha:12>22

A sample from the first machine has a standard deviation of 5.2925 with a sample size of 13.

A sample from the second machine has a standard deviation of 4.1418 with a sample size of 35.

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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