Question

A superintendent of schools wonders if scores on a test of science achievement differ for female and male 8th grade students. To test this, she gathers a random sample of male 8th graders and a random sample of female 8th graders and compares their sample means. The test statistic that the superintendent should use to test her hypothesis is the ________.

a. 2-dependent sample t-test
b. 2-independent sample t-test
c. Correlation
d. 2-way ANOVA

Answer 1

b. 2-independent sample t-test

Correct for this case is the best test since the result from each group are independent and we can compare the sample means between th two groups

Explanation:

For this case the intention is try to test if scores on a test of science achievement differ for female and male 8th grade students. let's analyze the possible options for this case:

a. 2-dependent sample t-test

False is not possible since the nature of the gender is not possible to conclude tha the results from boys and girls are dependent

b. 2-independent sample t-test

Correct for this case is the best test since the result from each group are independent and we can compare the sample means between the two groups

c. Correlation

False we can't compare the means of interest with a correlation coefficient since that's not the purpose of the study

d. 2-way ANOVA

False we have just one variable between two groups so is not possible to apply a 2 way ANOVA