Stat Questions

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1. 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 a sample of 30 graduating seniors from a local university, who are applying to business
school. The 30 students first took the GRE, without any preparation. The 30 students then took
the GRE again, after completing the GRE prep course. The researcher then compared the
performance for each student to determine whether there was improvement on the GRE Verbal
Reasoning scores from the first to second administrations. What hypothesis testing technique
should the researcher use to analyze the data?
A. ANOVA
B. Z-test for the population mean
C.
Two-sample t-test
D. Paired t-test
2. In a hypothetical study, a pharmaceutical company is interested in finding the dosage of a new
medication that best treats panic attacks. Ninety people, who are diagnosed with panic attacks,
were randomly assigned to three groups: (1) 20 milligrams of the new drug, (2) 30 milligrams of
the new drug, and (3) 40 milligrams of the new drug. After 30 days on the medication, each
participant records the number of panic attacks they have experienced in the previous seven
days. What hypothesis testing technique should the researcher use to analyze the data?
A. ANOVA
B. Z-test for the population mean.
C. Two-sample t-test
D. Paired t-test
3. Do men and women differ, on average, in terms of the amount of television that they watch each
day? A researcher conducted a hypothetical study, where he randomly selected 50 men and 50
women and recorded the number of minutes of television watched during the previous day. Which
of the following should the researcher use to determine whether there is a difference in mean
number of minutes of television viewing between men and women?
A. Z-test for the population mean
B. Two-sample t-test
C. Paired t-test
D. ANOVA
4. 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.
A. Matched pairs t-test
B. Two-sample t-test
C. ANOVA
D. chi-squared test for independence
E. inference for regression

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