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
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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