Question

Context: Piedmont is interested in the success of its students and wants to know what the high achievers have in common. The administration believes that those who study more and who had high GPAs in high school are more likely to be successful. Likewise, they want to rule out any differences in success by gender and race.

1a) Assume you conducted the appropriate test and found the following result:

R = 0.84

Based on this information, which of the following best describes what you could conclude?

a) There is no relationship between hours studied and GPA.

b) There is a positive relationship between hours studied and GPA.

c) There is a negative relationship between hours studied and GPA.

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1b) Which test would you use to determine if there was a relationship between high school GPA and college GPA?

a) Two sample hypothesis test

b) Two way ANOVA

c) Chi-square

d) Correlation
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1c) Assume you conducted the correct test and found the following result:

R = 0.02

Based on this information, which of the following best describes what you could conclude?

a) There is no relationship between high school and college GPA.

b) There is a positive relationship between high school and college GPA.

c) There is a negative relationship between high school and college GPA.

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1d) Which test would you use to compare the GPAs of males and females?

a) One sample hypothesis test

b) Two sample hypothesis test

c) Chi-square

d) Correlation

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1e) Which test would you use to determine if there is a difference in GPA between Caucasians, African-Americans and Asians?

a) One sample hypothesis test

b) One way ANOVA

c) Two way ANOVA

d) Correlation

Thank you very much for your help.

Answer 1

1a) Answer: (b) There is a positive relationship between hours studied and GPA.

1b) Answer: (d) Correlation.

1c) Answer: (a) There is no relationship between high school and college GPA.

1d) Answer: (b) Two sample hypothesis test.

1e) Answer: (b) One way ANOVA