In: Statistics and Probability
Part III. Below indicate whether the appropriate test would be an independent t-test, dependent t-test, One-way ANOVA, or z-test.
4. A researcher wants to know if people find baby animals cuter than adult animals. All of the participants in a study are shown 10 pictures of baby animals and 10 pictures of adult animals. They are asked to rate (on a 1 to 10 scale) how cute they think each animal is.
5. A statistics professor wants to know if students who turn their homework in on time get higher exam grades than students who do not turn their homework in on time.
6. A researcher is interested in whether people who own red cars, blue cars, or silver cars receive more speeding tickets.
7. A researcher wants to know if attitudes towards one’s college change as one progresses from freshman to senior year. She recruits 100 freshmen and surveys them about their attitudes toward the college. Three years later, when those 100 students are seniors, she surveys them about their attitudes again.
8. A research is interested in how three different statistics tutorials impact learning. She gives students one of three tutorials, a t-test tutorial, then a one-way ANOVA tutorial, and finally a factorial ANOVA tutorial. She measures their quiz grades for each topic after they have viewed the tutorial.
9. A researcher studying psychological well-being between children from single-parent vs. two-parent families recruits 20 children from two-parent families and 20 children from single-parent families and measures their psychological adjustment.
4. A researcher wants to know if people find baby animals cuter than adult animals. All of the participants in a study are shown 10 pictures of baby animals and 10 pictures of adult animals. They are asked to rate (on a 1 to 10 scale) how cute they think each animal is.
The correct answer is : dependent t test , because the same group of people are shown pictures of baby animals and adult animals. So, they are dependent samples.
5. A statistics professor wants to know if students who turn their homework in on time get higher exam grades than students who do not turn their homework in on time.
The correct answer is : independent t test, because the two groups, students who turn their homework in on time, and the students who do not, are independent of each other and hence are independent samples.
6. A researcher is interested in whether people who own red cars, blue cars, or silver cars receive more speeding tickets.
The correct answer is : ANOVA , because there are more than two groups here, people who own red cars, people who own blue cars, and people who own silver cars.
7.A researcher wants to know if attitudes towards one’s college change as one progresses from freshman to senior year. She recruits 100 freshmen and surveys them about their attitudes toward the college. Three years later, when those 100 students are seniors, she surveys them about their attitudes again.
The correct answer is : dependent t test , because the same group of people are surveyed, once in their freshman year and once in their senior year. So, they are dependent samples.
8. A research is interested in how three different statistics tutorials impact learning. She gives students one of three tutorials, a t-test tutorial, then a one-way ANOVA tutorial, and finally a factorial ANOVA tutorial. She measures their quiz grades for each topic after they have viewed the tutorial.
The correct answer is : ANOVA , because there are more than two groups here, a t-test tutorial, a one-way ANOVA tutorial, and a two-way ANOVA tutorial.
9.A researcher studying psychological well-being between children from single-parent vs. two-parent families recruits 20 children from two-parent families and 20 children from single-parent families and measures their psychological adjustment.
The correct answer is : independent t test, because the two groups, children from single parent families, and children from two-parent families, are independent of each other and hence are independent samples.