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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? ANOVA z-test for the population mean Two-sample t-test Paired t-test

Question

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? ANOVA z-test for the population mean Two-sample t-test Paired t-test

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Solution

The researcher should use the Two-sample t-test. This test is used to determine if two population means are equal. The two groups (those who took the GRE without preparation and those who took it after completing a prep course) are independent of each other and the sample size is small (less than 30), making the Two-sample t-test the most appropriate choice.

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he dean of the engineering school at a technical university wants to emphasize the importance of having students who are gifted at reading and writing as well as math. She wants to know if she can accurately claim that graduate students in engineering programs at her school have significantly higher scores on the verbal reasoning section of the GRE (a standardized test used in the admissions process for many graduate programs) than the national average for engineering students. The national average for the verbal reasoning GRE score for engineering students was 150 with a standard deviation of 9. A random sample of 49 engineering graduate students at her school were found to have an average verbal reasoning GRE score of 153.After analyzing the data to determine whether the mean verbal reasoning GRE score of the engineering graduate students at the technical university is higher than the national average, the p-value of 0.0099 was obtained. Using a 0.05 significance level, what conclusion can be drawn from the data? Do not reject the null hypothesis. The average verbal reasoning GRE score of the engineering graduate students at the technical university is not higher than the population average. Do not reject the null hypothesis. The average verbal reasoning GRE score of the engineering graduate students at the technical university is higher than the population average. Reject the null hypothesis. The average verbal reasoning GRE score of the engineering graduate students at the technical university is not higher than the population average. Reject the null hypothesis. The average verbal reasoning GRE score of the engineering graduate students at the technical university is higher than the population average.

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