1. Research question: Do mathematics majors tend to have higher SAT-Math scores than statistics majors? Design: A random sample of 50 mathematics

1. Research question: Do mathematics majors tend to have higher SAT-Math scores than statistics majors?Design: A random sample of 50 mathematics majors and 50 statistics majors at Penn State is obtained. The SAT-Math score of each of these students is recorded. In this scenario, are the samples of mathematics and statistics majors independent or paired?

A) Independent B) Paired

2. Research question: Is the average body temperature of indoor cats different in the morning and evening?

Design: A sample of 40 indoor cats is obtained. Each cat has his or her body temperature measured in the morning and again in the evening.

In this scenario, are the morning and evening body temperature measurements independent or paired?

A) Independent B) Paired

3. Research question: Is the proportion of women who like coffee greater than the proportion of men who like coffee? Which of the following sets of hypotheses should be used to address this research question? pw = proportion of women who like coffee pm = proportion of men who like coffee

A) Ho: pw - pm = 0 Ha: pw - pm ≠ 0 B) Ho: pw - pm ≠ 0 Ha: pw - pm = 0 C) Ho: pw - pm ≤ 0 Ha: pw - pm > 0 D) Ho: pw - pm > 0 Ha: pw - pm ≤ 0

4.

Data collected from a sample of STAT 200 students in the Fall 2015 semester were used to compare the proportion of Pennsylvania residents who own a dog. You performed a hypothesis test to determine if the proportion of residents and non-residents who own a dog is different. What are your decision and conclusion concerning this test?

A) Reject the null hypothesis, there is evidence that the proportion of residents and non-residents who own a dog is different B) Fail to reject the null hypothesis, there is evidence that the proportion of residents and non-residents who own a dog is different C) Reject the null hypothesis, there is NOT evidence that the proportion of residents and non-residents who own a dog is different D) Fail to reject the null hypothesis, there is NOT evidence that the proportion of residents and non-residents who own a dog is different

5.

A team of cosmetic surgeons wants to know if the average nose lengths of men and women are different. Which of the following sets of hypotheses should they use? μ1 = average nose length for women μ2 = average nose length for men

A) Ho: μ1 − μ2 ≠ 0 Ha: μ1 − μ2 = 0

B) Ho: μ1 − μ2 ≥ 0 Ha: μ1 − μ2 < 0 C) Ho: μ1 − μ2 < 0 Ha: μ1 − μ2 ≥ 0 D) Ho: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 6. Given the output below, is there a statistically significant difference between the SATM scores of students who have and have not ever cheated?

A) Yes, there is a statistically significant difference between the SATM scores of students who have and have not ever cheated. B) No, there is not a statistically significant difference between the SATM scores of students who have and have not ever cheated.

7.

A marketing team for a women’s clothing company has developed a new brochure that it would like to send to potential customers. Before they distribute this brochure, they want to know how it impacts potential customers opinions of their brand. They have designed a research study in which 50 potential customers rate their opinions of the brand before and after being presented with the new brochure. μd = μpost presentation rating - μpre presentation rating Which of the following sets of hypotheses should they use to determine if ratings increased from pre- to post-presentation?

A) Ho: μd ≠ 0 Ha: μd = 0 B) Ho: μd = 0 Ha: μd ≠ 0 C) Ho: μd ≤ 0 Ha: μd > 0 D) Ho: μd >0 Ha: μd ≤ 0

8.

A statistics instructor wants to compare her students’ self-efficacy before and after being taught about a certain topic. She wants to know if self-efficacy increases. She measures each student's self-efficacy at the beginning of class. Then she teaches a related lesson. And, at the end of class measures each student's self-efficacy again.

She collected complete data from 54 students. The average increase in self-efficacy was 3.021 points with a standard deviation of 2.334 points.

What is the value of the t test statistic?

A) 9.511 B) 0.318 C) 2.009 D) 1.294

9.

Research question: Does self-efficacy increase following an intervention? The Minitab Express output above shows the results of a hypothesis test comparing pre-intervention self-efficacy to post-intervention self-efficacy. Given this output, what are the correct decision and conclusion?

A) Reject the null hypothesis, there is evidence that increases following an intervention. B) Reject the null hypothesis, there is NOT evidence that increases following an intervention. C) Fail to reject the null hypothesis, there is evidence that increases following an intervention. D) Fail to reject the null hypothesis, there is NOT evidence that increases following an intervention.

10.

Research question: Do teenage daughters tend to own more pairs of shoes than their mothers?

A researcher collects data from 50 families with teenage daughters concerning the number of shoes own by the mother and the teenage daughter. Which of the following statistical tests is most appropriate for address this research question?

A) Paired means t test B) Two independent means t test C) One sample t test for a mean D) Two independent proportions z test

11.

Research question: Do more the 50% of STAT 200 students own a Macintosh computer?

Design: You take a random sample of 500 STAT 200 students and ask each person if they own a Macintosh computer (yes/no).

Which of the following procedures should you use to address this research question?

A) Two independent means t test B) Two independent proportions z test C) One sample proportion z test D) One sample mean t test

12.

Research question: Do boys and girls in first grade differ in terms of whether or not they like strawberry milk?

You take a sample of 400 first grade students. You record each student's gender and ask "do you like strawberry milk" and record if they respond with "yes" or "no."

Which of the following procedures should you use to address your research question?

A) Two independent means t test B) Two independent proportions z test C) One sample mean t test D) One sample proportion z test

13.

A team of educational psychologists wants to examine female and male college students' confidence in the area of introductory statistics. They have a sample of 47 females and 54 males with the following descriptive statistics: Compute a 95% confidnece interval for the mean differences in the self-efficacy ratings of females and males. Hint: The pooled standard deviation is 1.847

A) [-1.532, 2.162] B) [-0.416, 1.046] C) [-0.053, 0.683] D) [-3.350, 3.980]

14.

In a research study published in the Statistics Education Research Journal a sample of 408 college students enrolled in a business statistics course were asked for the sex (male/female) and height (in inches). You want to estimate the average difference in the heights of male and female students.

Given the output above, which of the following statements is TRUE?

A) There is not a statistically significant difference between the heights of males and females in the population.

B) If we were to randomly select one male and one female the probability that the man would be taller than the female is 95%.

C) 95% of men are taller than at least 95% of women

D) We are 95% confident that in the population the average height of men is between 5.26 and 6.45 inches greater than the average height of women.