1. The 10-item Perceived Stress Scale (PSS-10) is a common measure of everyday experiences of stress. Scores on this scale can range from 0 to 40. Across three years (1983, 2006, and 2009), the weighted average score for individuals aged 18-25 was 16.04(=16.04). The hypothetical data in this problem are PSS-10 scores for ten college students(N=10)experiencing academic difficulty. State the null hypothesis and alternative hypothesis, set atwo-tailedalternative hypothesis, perform attest, and what is the conclusion about feelings of stress among students experiencing academic difficulty, relative to the population average for those aged 18-25 years. Setalpha at .05.

16

17

17

19

18

23

21

20

17

18

2. Zhong, Bohns, and Gino (2010) tested the effects of darkness on cheating behavior. In the study, a group of participants worked on 20 sets of math problems in a dimly-lit room. The participants were told they would be paid $0.50 for each math problem they correctly solved in a 5-minute period. After 5 minutes, the participants self-reported how many math problems they correctly solved. Prior research established that people can solve 7 of the 20 problems(=7), on average, during 5 minutes. Did these participants cheat?

Below are summary statistics that partially mimic those reported in Study 1 of Zhong et al. Perform a two-tailed t testthat compares the average number of math problems reportedly solved by the participants in the dimly-lit room to the known norm and what is the conclusion that summarizes the results. Setalpha at .05.

Dimly-lit Room

Sample Mean: x-bar = 11.47

Standard deviation: s-hat = 4.32

N=42

Comparison Mean: =7