The 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.What are the null and alternative hypotheses? H0: μ = 153; Ha: μ ≠ 153 H0: μ = 153; Ha: μ > 153 H0: μ = 150; Ha: μ ≠ 150 H0: μ = 150; Ha: μ > 150

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

Andrew is getting ready to apply to graduate school. He and some friends took a GRE preparation class. Most class members scored around 154 on the quantitative portion of the GRE. A few class members scored around 105 on the quantitative portion. Which of the following would be the best measure to see how Andrew's score on the quantitative portion of the GRE compares to the rest of the scores of the GRE preparation class members?Group of answer choicesModeStandard DeviationMedianPercentileMean

A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study examined the scores of a random sample of 130 graduating seniors and found the mean score to be 458 with a standard deviation of 105. At the 95% confidence level, use the normal distribution/empirical rule to estimate the margin of error for the mean, rounding to the nearest tenth.

When Scholastic Achievement Test scores (SATs) are sent to test-takers, the percentiles associated with scores are also given. Suppose a test-taker scored at the 98th percentile on the verbal part of the test and at the 29th percentile on the quantitative part. Interpret these results.Group of answer choicesThis student performed better than 98% of the other test-takers on the verbal part and better than 71% on the quantitative part.This student performed better than 2% of the other test-takers on the verbal part and better than 29% on the quantitative part.This student performed better than 98% of the other test-takers on the verbal part and better than 29% on the quantitative part.This student performed better than 2% of the other test-takers on the verbal part and better than 71% on the quantitative part.

A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors.  The study found that the mean SAT score was 460 with a margin of error of 24.  Which of the following is a reasonable value for the true mean SAT score of the graduating high school seniors?