If two random samples of 10 and 12 observations produced sample variances equal to 7.50 and 3.20, respectively, then the calculated value of the test statistic when testing vs. is equal to:
A) 7.50
B) 3.20
C) 10.70
D) 2.34
E) 7.82

Question

If two random samples of 10 and 12 observations produced sample variances equal to 7.50 and 3.20, respectively, then the calculated value of the test statistic when testing  vs.  is equal to:
A) 7.50 
B) 3.20 
C) 10.70 
D) 2.34 
E) 7.82

Quizplus · Accepted Answer

When testing the difference between two population variances, we use the F-test. The F-statistic formula is F = s1^2/s2^2, where s1^2 is the sample variance of the larger sample and s2^2 is the sample variance of the smaller sample.

Substituting the given values, we get F = 7.50/3.20 = 2.34. Therefore, the calculated value of the test statistic is 2.34. The correct answer is D.

If Two Random Samples of 10 and 12 Observations Produced