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 drinks containing 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 Summation of D=-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

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2. 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 drinks containing 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

Summation of D=-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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