The given information is available for two samples selected from independent nor

Question

The given information is available for two samples selected from independent normally distributed populations. Population A: n1-24, Si = 172.2 Population B: n224, S2 87.9 In testing the null hypothesis Ho ?-? the value of FSTAT is 1.96. There are 23 degrees of freedom in the numerator and 23 degrees of freedom in the denominator. For the alternative hypothesis H1 : ? ? at the ?-0.01 level of significance, the critical value is 3.04. What is the correct statistical decision? Choose the correct answer below. O A. Do not reject Ho. There is insufficient evidence that the population variances are different. 0 B. Do not reject Ho . There is sufficient evidence that the population variances are different. ° C. Reject H0. There is sufficient evidence that the population variances are different. 0 D. Reject Ho. There is insufficient evidence that the population variances are different.

Explanation / Answer

We see that FSTAT (1.96) is less than critical value (3.04), therefore, Null hypothesis (H0) is not rejected.

Correct answer option is A.

A. Do not reject H0. There is insufficient evidence that the population variances are different.

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