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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

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: µ- µ2 ≥ 0,   Ho: µ- µ2 < 0 

d. Ho: µ- µ2 ≤ 0,   Ho: µ- 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.

 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman