18. Two samples have sample sizes n 1 = 25 and n 2 = 13 and standard deviations

Question

18. Two samples have sample sizes n1 = 25 and n2 = 13 and standard deviations s1 = 5 and s2 = 4.3. What is the critical value of F to determine the rejection zone for the test of equality of variances?

a. 1.96

b. 2.18

c. 2.42

d. 2.51

19. When equal variances are not assumed the estimated standard error of the mean differences is calculated as ______.

a. =

b. =

c. =

d. =

20. An effect size is defined as a standardized measure of the _________.

a. rejection zone

b. sample size

c. strength of a test statistic

d. confidence interval

Explanation / Answer

Part (a) [Note: level of significance is not specified in the question. It is taken as 5%.]

Test statistic for testing equality of two variances is: F = s12./s22. This F has F-distribution with first degrees of freedom = n1 – 1 and second degrees of freedom = n2 – 1. So, the critical value of F to determine the rejection zone for the test of equality of variances = F24,12,

= F24,12,0.05 = 2.51 option (d) ANSWER

Part (b)

Estimated standard error of the mean differences = sqrt{( s12/n1) + ( s22/n2)}

= 1.556 ANSWER

Part (c)

Effect size is defined as a standardized measure of the strength of a test statistic.

ANSWER

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