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                     Dimly-Lit Room                                                                                     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. a. Which of the following correctly represents the null and alternative hypothesis  b. Which represents the proper critical region c. Compute the test statistic d. Based on the calculated test statistic, would you reject the null hypothesis established in question a  e. Based on the previously conducted steps, we can conclude  f. Calculate Cohen's d to measure the size of the effect

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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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                     Dimly-Lit Room

                                                                                    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.

a. Which of the following correctly represents the null and alternative hypothesis 

b. Which represents the proper critical region

c. Compute the test statistic

d. Based on the calculated test statistic, would you reject the null hypothesis established in question a 

e. Based on the previously conducted steps, we can conclude 

f. Calculate Cohen's d to measure the size of the effect

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