A company is doing a hypothesis test to determine two machines to determine whic

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 the populations are independent. Use 0.01 A sample from the first machine has a standard deviation of 6.0749 with a sample size of 13. A sample from the second machine has a standard deviation of 4.647 with a sample size of 39 The test statistic is = (Report answer accurate to two decimal places Thus, the decision is: O Reject the null hypothesis O 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 = 1.31

Decision: Fail to reject the null hypothesis

Ratio Num. DF Den. DF Sample Ratio F-Stat P-value 12/22 12 38 1.3072735 1.3072735 0.2546

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