A sample of 16 items from population 1 has a sample variance hypotheses at the.0

Question

A sample of 16 items from population 1 has a sample variance hypotheses at the.05 level of significance. = 5.5 and a sample of 21 items from population 2 has a sample variance s = 2.3. Test the following a. What is your conclusion using the p-value approach? Calculate the value of the test statistic (to 2 decimals). wer -Use Table 11.1. The p-value is -Select your ans What is your conclusion? Select your answer b. Repeat the test using the critical value approach What is the rejection rule for this hypothesis test? Round the critical values to 2 decimal places. Reject Ho if F-Select your answer- What is your conclusion? Select your answer that population 1 show a greater variation.

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,

a) Test statistic = 2.39

p - value = 0.035

Conclusion: Reject the null hypothesis.

b) Reject Ho if F > 2.20

Reject Ho. We have sufficient evidence to conclude that population 1 show a greater variation.

Ratio Num. DF Den. DF Sample Ratio F-Stat P-value 12/22 15 20 2.3913043 2.3913043 0.035

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