Please use the following information to answer questions 7a-7c: Research has shown that people are more likely to show dishonest and self-interested behaviors in darkness than in well-lit environment (Zhong, Bohns, & Gino, 2010). In one experiment, participants were given a set of 20 puzzles and were paid $0.50 for each one solved in a 5-minute period. However, the participants reported their own performance and there was no obvious method for checking their honesty. Thus, the task provided a clear opportunity to cheat and receive undeserved money. One group of participants was tested in a well-lit room and a second group was tested in a room with dimmed lighting . The reported number of solved puzzles was recorded for each individual. The following data represent results similar to those obtained in the study. Well-Lit Room (Group1) Dimly-Lit Room (Group2) 7 9 8 11 10 13 6 10 8 11 5 9 7 15 12 14 5 10 Is there a significant difference in reported performance between the two conditions? Use a two-tailed test with α = .01. 7a. Which of the following correctly represents the null and alternative hypothesis (MUST SHOW WORK FOR THIS PROBLEM)? Group of answer choices: a. Ho: µ1 - µ2 = 0, H1: µ1 - µ2 ≠ 0 b. Ho: µ1 - µ2 ≠ 0, H1: µ1 - µ2 = 0 c. Ho: µ1 - µ2 ≥ 0, Ho: µ1 - µ2 < 0 d. Ho: µ1 - µ2 ≤ 0, Ho: µ1 - µ2 > 0 7b. Which of the following represents the proper critical region (MUST SHOW WORK FOR THIS PROBLEM)? Group of answer choices: a. t = 2.921 b. t = ±2.583 c. t = 2.583 d. t = ±2.921 7c. Compute the test statistic (t-observed) (MUST SHOW WORK FOR THIS PROBLEM). Note: Must also show work for pooled variance and estimated standard error.
Please use the following information to answer questions 7a-7c:
Research has shown that people are more likely to show dishonest and self-interested behaviors in darkness than in well-lit environment (Zhong, Bohns, & Gino, 2010). In one experiment, participants were given a set of 20 puzzles and were paid $0.50 for each one solved in a 5-minute period. However, the participants reported their own performance and there was no obvious method for checking their honesty. Thus, the task provided a clear opportunity to cheat and receive undeserved money. One group of participants was tested in a well-lit room and a second group was tested in a room with dimmed lighting . The reported number of solved puzzles was recorded for each individual. The following data represent results similar to those obtained in the study.
Well-Lit Room (Group1) Dimly-Lit Room (Group2)
7 9
8 11
10 13
6 10
8 11
5 9
7 15
12 14
5 10
Is there a significant difference in reported performance between the two conditions? Use a two-tailed test with α = .01.
7a. Which of the following correctly represents the null and alternative hypothesis (MUST SHOW WORK FOR THIS PROBLEM)?
a. Ho: µ1 - µ2 = 0, H1: µ1 - µ2 ≠ 0
b. Ho: µ1 - µ2 ≠ 0, H1: µ1 - µ2 = 0
c. Ho: µ1 - µ2 ≥ 0, Ho: µ1 - µ2 < 0
d. Ho: µ1 - µ2 ≤ 0, Ho: µ1 - µ2 > 0
7c. Compute the test statistic (t-observed) (MUST SHOW WORK FOR THIS PROBLEM).
Note: Must also show work for pooled variance and estimated standard error.
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