1. A psychologist is interested in studying the effects of fatigue on mental alertness. She decides to study this question using a between-subjects design. She randomly assigns individuals to two groups (Group 1 stays awake for 24 hours; Group 2 goes to sleep). After this period, each subject is tested to see how well they detect a light on a screen. The dependent variable is the subjects' number of mistakes, which reflects their mental alertness. The higher the number, the less alert they are. Here are the results from the two groups. Group 1 (Awake) Group 2 (Sleep) 5 10 mean 35 24 SS 120 270 Using an independent samplest test, answer the question of whether fatigue adversely affects mental alertness (a = 0.05). (Do this test by hand.) %3D

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33. Independent Samples t Tests
1. A psychologist is interested in studying the effects of fatigue on mental
alertness. She decides to study this question using a between-subjects
design. She randomly assigns individuals to two groups (Group 1 stays
awake for 24 hours; Group 2 goes to sleep). After this period, each
subject is tested to see how well they detect a light on a screen. The
dependent variable is the subjects' number of mistakes, which reflects
their mental alertness. The higher the number, the less alert they are.
Here are the results from the two groups.
Group 1 (Awake)
Group 2 (Sleep)
10
mean
35
24
SS
120
270
Using an independent samples t test, answer the question of whether fatigue
adversely affects mental alertness (a = 0.05). (Do this test by hand.)
%3D
Transcribed Image Text:33. Independent Samples t Tests 1. A psychologist is interested in studying the effects of fatigue on mental alertness. She decides to study this question using a between-subjects design. She randomly assigns individuals to two groups (Group 1 stays awake for 24 hours; Group 2 goes to sleep). After this period, each subject is tested to see how well they detect a light on a screen. The dependent variable is the subjects' number of mistakes, which reflects their mental alertness. The higher the number, the less alert they are. Here are the results from the two groups. Group 1 (Awake) Group 2 (Sleep) 10 mean 35 24 SS 120 270 Using an independent samples t test, answer the question of whether fatigue adversely affects mental alertness (a = 0.05). (Do this test by hand.) %3D
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