For each of the following research scenarios, indicate which type of t-test (one-sample, independent, dependent) is appropriate for research scenario described.  a. Dr. Lofgren was interested in the effects of stress on ability to concentrate. He randomly assigned 20 participants to complete a lab-based stress task to induce stress, and another 20 participants to a control condition where they spent time in the lab but didn’t experience stress induction. Both groups then completed a task requiring deep concentration to complete; the time it took to complete the task was recorded, with quicker completion times reflecting better ability to concentrate. Dr. Lofgren hypothesized that participants in the stress condition would have poorer ability to concentrate (i.e., slower completion times).  b. An all-women's college is interested in whether more of its graduates end up in traditionally male-dominated fields (e.g., engineering, physical science) than is reflected in the national data for career placement. According to some statistics from the National Center for Educational Statistics, approximately 22% of people in engineering and physical science jobs were females in recent years. College administrators examine their alumni data over the past 25 years (n = 25). You find that, on average, 23.7% of graduates have been placed in such occupations, with a standard deviation of 6.1%.  c. Researchers were interested in the effect of a new drug therapy on manic symptoms. 100 participants diagnosed with bipolar disorder first spent 6 weeks with no drug treatment, after which their self-reported manic symptoms were measured. Next, the same participants spent 6 weeks taking the new drug treatment, after which their self-reported manic symptoms were again measured. The researchers predicted that manic symptoms would be lower after the 6-week drug treatment period than after the 6 week no treatment period.

College Algebra (MindTap Course List)
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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For each of the following research scenarios, indicate which type of t-test (one-sample, independent, dependent) is appropriate for research scenario described. 

a. Dr. Lofgren was interested in the effects of stress on ability to concentrate. He randomly assigned 20 participants to complete a lab-based stress task to induce stress, and another 20 participants to a control condition where they spent time in the lab but didn’t experience stress induction. Both groups then completed a task requiring deep concentration to complete; the time it took to complete the task was recorded, with quicker completion times reflecting better ability to concentrate. Dr. Lofgren hypothesized that participants in the stress condition would have poorer ability to concentrate (i.e., slower completion times). 

b. An all-women's college is interested in whether more of its graduates end up in traditionally male-dominated fields (e.g., engineering, physical science) than is reflected in the national data for career placement. According to some statistics from the National Center for Educational Statistics, approximately 22% of people in engineering and physical science jobs were females in recent years. College administrators examine their alumni data over the past 25 years (n = 25). You find that, on average, 23.7% of graduates have been placed in such occupations, with a standard deviation of 6.1%. 

c. Researchers were interested in the effect of a new drug therapy on manic symptoms. 100 participants diagnosed with bipolar disorder first spent 6 weeks with no drug treatment, after which their self-reported manic symptoms were measured. Next, the same participants spent 6 weeks taking the new drug treatment, after which their self-reported manic symptoms were again measured. The researchers predicted that manic symptoms would be lower after the 6-week drug treatment period than after the 6 week no treatment period. 

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