A teacher is interested in performing a hypothesis test to compare the mean math score of the girls and the mean math score of the boys.She randomly selects 10 girls from the class and then randomly selects 10 boys.She arranges the girls' names alphabetically and uses this list to assign each girl a number between 1 and 10.She does the same thing for the boys.
A)Paired t-test.Since the boys and girls are in the same class,and are hence dependent samples,they are can be linked.
B)Either two-sample or paired t-test will work.
C)1-sample t-test.The teacher should compare the sample mean for the girls against the population mean for the boys.
D)Two-sample t-test.There is no natural pairing between the two populations.
E)Paired t-test.Since there are 10 boys and 10 girls,we can link the two samples.

Question

Quizplus · Accepted Answer

The best choice is a two-sample t-test because there is no natural pairing between the two populations, as the boys and girls were randomly selected as separate groups. A paired t-test would only be appropriate if there was a natural pairing or a repeated measurement taken on the same individuals. A 1-sample t-test would only compare the mean of one sample against a known population mean, which is not the objective of this study. Therefore, the best choice is a two-sample t-test.

A Teacher Is Interested in Performing a Hypothesis Test to Compare