Hi! Been working on this for couple days, very confused. Any assistance would be

Question

Hi! Been working on this for couple days, very confused. Any assistance would be greatly appreciated.

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 : 1 2 (1sqr) = 2 2 (2 sqr)

Ha : 1 2 (1sqr) > 2 2 (2 sqr)

(sorry, could not figure out how to paste it correctly)

A sample from the first machine has a standard deviation of 4.6073 with a sample size of 26.

A sample from the second machine has a standard deviation of 3.73 with a sample size of 27.

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

Thus, the decision is either:

• Reject the null hypothesis

• Fail to reject the null hypothesis

Explanation / Answer

The statistical software output for this problem is:

Two sample variance summary hypothesis test:
12 : Variance of population 1
22 : Variance of population 2
12/22 : Ratio of two variances
H0 : 12/22 = 1
HA : 12/22 > 1

Hypothesis test results:

Hence,

Test statistic = 1.53

Since p - value is greater than 0.01, fail to reject the null hypothesis.

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