a gre course prep company advertises that its course can significantly raise students gre verbal reasoning…

a gre course prep company advertises that its course can significantly raise students gre verbal reasoning scores. in order to assess the accuracy of this claim, a researcher randomly selected two independent samples of 30 graduating seniors from a local university, who were applying to business school. one group of 30 students took the gre, without any preparation. the other group of 30 students took the gre after completing a gre prep course. the researcher then compared the performance for the two groups to determine whether there was difference on the gre verbal reasoning scores from group without any preparation and the group completing the gre prep course. what hypothesis testing technique should the researcher use to analyze the data? a. paired t - test b. two - sample t - test c. z - test for the population mean d. anova

a gre course prep company advertises that its course can significantly raise students gre verbal reasoning scores. in order to assess the accuracy of this claim, a researcher randomly selected two independent samples of 30 graduating seniors from a local university, who were applying to business school. one group of 30 students took the gre, without any preparation. the other group of 30 students took the gre after completing a gre prep course. the researcher then compared the performance for the two groups to determine whether there was difference on the gre verbal reasoning scores from group without any preparation and the group completing the gre prep course. what hypothesis testing technique should the researcher use to analyze the data? a. paired t - test b. two - sample t - test c. z - test for the population mean d. anova

Answer

Brief Explanations:

  • Paired t - test: Used when there is a relationship (e.g., before - after on the same subjects) between the samples. Here, the two groups are independent (different students in each group), so this is not appropriate.
  • Two - sample t - test: Appropriate when comparing the means of two independent samples. In this case, we have two independent groups (one that took the GRE without preparation and one that took it after a prep course) and we want to compare their GRE Verbal Reasoning scores.
  • z - test for the population mean: Usually requires knowledge of the population standard deviation. There is no indication in the problem that we know the population standard deviation of GRE Verbal Reasoning scores.
  • ANOVA (Analysis of Variance): Used when comparing more than two groups. Here we have only two groups.

Answer:

B. Two - sample t - test