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

Madison Talavera · Accepted Answer

Final Answer : D, Explanation :  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 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

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Learning Objectives

Related questions

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) 7.50B) 3.20C) 10.70D) 2.34E) 7.82

Definitions

Learning Objectives

Learning Objectives

Related questions

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