cognitive researcher wants to know what effect alcohol consumption has on speed of mental processing. He asks 10 subjects to answer a simple addition equation, and times how long it takes them to answer (in seconds). He firsts asks them a question before they consume any alcohol, and then again after they consume two drinkscontaining 1 ½  ounces of liquor each. The subjects’ data are presented below. Find out if alcohol impacted subjects’ speed of answering.   Subject           Before drinking         After two drinks        Difference 1                                  2                                  6                      -4 2                                  1                                  4                      -3 3                                  4                                  5                      -1 4                                  3                                  7                      -4 5                                  1                                  5                      -4 6                                  2                                  5                      -3 7                                  3                                  6                      -3 8                                  3                                  8                      -5 9                                  2                                  4                      -2 10                               3                                  2                      -1                                                                                                             SD=-30   (a) What type of t-test should be used?        (b) Write your null and alternative hypotheses                (c) State your df AND critical values of t, with a=.05; assume a two-tailed test        (d) Calculate t                                                (e) State whether or not the null hypothesis should be rejected                (f) Write a brief sentence summarizing the outcome of this null hypothesis test in terms of the research question

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 14PPS
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  1. A cognitive researcher wants to know what effect alcohol consumption has on speed of mental processing. He asks 10 subjects to answer a simple addition equation, and times how long it takes them to answer (in seconds). He firsts asks them a question before they consume any alcohol, and then again after they consume two drinkscontaining 1 ½  ounces of liquor each. The subjects’ data are presented below. Find out if alcohol impacted subjects’ speed of answering.

 

Subject           Before drinking         After two drinks        Difference

1                                  2                                  6                      -4

2                                  1                                  4                      -3

3                                  4                                  5                      -1

4                                  3                                  7                      -4

5                                  1                                  5                      -4

6                                  2                                  5                      -3

7                                  3                                  6                      -3

8                                  3                                  8                      -5

9                                  2                                  4                      -2

10                               3                                  2                      -1

                                                                                                            SD=-30

 

(a) What type of t-test should be used? 

 

 

 

(b) Write your null and alternative hypotheses 

 

 

 

 

 

 

 

(c) State your df AND critical values of t, with a=.05; assume a two-tailed test 

 

 

 

(d) Calculate t 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(e) State whether or not the null hypothesis should be rejected 

 

 

 

 

 

 

 

(f) Write a brief sentence summarizing the outcome of this null hypothesis test in terms of the research question

 

 

 

 

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