To determine the relative effectiveness of different study strategies for the SAT, suppose three groups of students are randomly selected: One group took the SAT without any prior studying; the second group took the SAT after studying on their own from a common study booklet available in the bookstore; and the third group took the SAT after completing a paid summer study session from a private test-prep company.The means and standard deviations of the resulting SAT scores from this hypothetical study are summarized below:Since we are comparing more than 2 groups, we will use ANOVA to test whether the data provide evidence that SAT score is related to study strategy.One of the conditions that allows us to use ANOVA safely is that of equal (population) standard deviations. Can we assume that this condition is met in this case? No, since the three sample standard deviations are not all equal. No, since the population standard deviations are not given, so we cannot check this condition. Yes, since 5.7 − 4.9 < 2. Yes, since 5.7/4.9 < 2.

Question 7Select the research example for which a one-way between-groups ANOVA would be the appropriate test.1 pointResearchers want to test for a difference in memory scores before and after a new memory technique is introduced.Researchers want to examine the relationship between the number of class absences and final course grade.Researchers compared the mean difficulty rating of math problems among groups of participants who experienced a positive stressor, a negative stressor, or no stressor, respectively.College administrators are interested in whether high school GPA predicts college GPA.

At the beginning of the semester, students who registered for a statistics course were randomly assigned to two sections, each taught by a different instructor. At the end of the semester, we would like to test whether there are differences in performance on the final exam between the two sections.Which of the following is the most appropriate statistical test to use to test whether there are differences in performance on the final exam between the two sections? ANOVA Two-sample t-test Matched pairs t-test Inference for regression Chi-squared test for independence

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.

Question 13Select the scenario that would be appropriate for a two-way between-groups ANOVA. 1 pointAnalyzing the relationship between high school GPA and college GPAComparing the mean reading fluency scores of the same 50 middle school students at the beginning of the year, middle of the year, and end of the yearComparing mean aggression scores after playing a competitive video game, a cooperative video game, or no video gameAnalyzing (simulated) mean driving speed based on the presence of a speed limit sign (e.g., speed limit posted for some participants and not posted for other participants) and the presence of a peer (e.g., peer present for some participants and not present for other participants)

A study was carried out to investigate exam performance for university students. One version of the study involved students at the University of Taranaki, who volunteered to be in the study. Two groups were compared: a group that were trained in a new study technique and a group that were asked to use their current study technique. These groups were determined by giving participants the option to choose which group they were in. The researchers conducted a two sample t-test and found a difference of 6.5 between the mean exam scores for each group (p-value = 0.062), with the group that were trained in a new study technique having the higher mean. What kind of study was this (experiment or observational)