S-adenosyl methionine (SAM-e) is a naturally occurring compound in human cells that is thought to have an effect on depression symptoms. Suppose that a researcher is interested in testing SAM-e on patients who are struggling with HIV. She obtains a sample of n = 25 patients and asks each person to take the suggested dosage each day for 4 weeks. At the end of the 4-week period, each individual takes the Beck Depression Inventory (BDI), which is a 21-item, multiple-choice self-report inventory for measuring the severity of depression. The scores from the sample produced a mean of M = 26.3 with a standard deviation of s = 1.01. In the general population of HIV patients, the standardized test is known to have a population mean of μ = 27.1. Because there are no previous studies using SAM-e with this population, the researcher doesn’t know how it will affect these patients; therefore, she uses a two-tailed single-sample t test to test the hypothesis. The critical t scores (the values that define the borders of the critical region) are . The estimated standard error is . The t statistic is . The t statistic in the critical region. Therefore, the null hypothesis rejected. Therefore, the researcher conclude that SAM-e has a significant effect on the moods of HIV patients.
S-adenosyl methionine (SAM-e) is a naturally occurring compound in human cells that is thought to have an effect on depression symptoms. Suppose that a researcher is interested in testing SAM-e on patients who are struggling with HIV. She obtains a sample of n = 25 patients and asks each person to take the suggested dosage each day for 4 weeks. At the end of the 4-week period, each individual takes the Beck Depression Inventory (BDI), which is a 21-item, multiple-choice self-report inventory for measuring the severity of depression. The scores from the sample produced a mean of M = 26.3 with a standard deviation of s = 1.01. In the general population of HIV patients, the standardized test is known to have a population mean of μ = 27.1. Because there are no previous studies using SAM-e with this population, the researcher doesn’t know how it will affect these patients; therefore, she uses a two-tailed single-sample t test to test the hypothesis. The critical t scores (the values that define the borders of the critical region) are . The estimated standard error is . The t statistic is . The t statistic in the critical region. Therefore, the null hypothesis rejected. Therefore, the researcher conclude that SAM-e has a significant effect on the moods of HIV patients.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Binomial Distribution
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S-adenosyl methionine (SAM-e) is a naturally occurring compound in human cells that is thought to have an effect on depression symptoms. Suppose that a researcher is interested in testing SAM-e on patients who are struggling with HIV. She obtains a sample of n = 25 patients and asks each person to take the suggested dosage each day for 4 weeks. At the end of the 4-week period, each individual takes the Beck Depression Inventory (BDI), which is a 21-item, multiple-choice self-report inventory for measuring the severity of depression.
The scores from the sample produced a mean of M = 26.3 with a standard deviation of s = 1.01. In the general population of HIV patients, the standardized test is known to have a population mean of μ = 27.1. Because there are no previous studies using SAM-e with this population, the researcher doesn’t know how it will affect these patients; therefore, she uses a two-tailed single-sample t test to test the hypothesis.
The critical t scores (the values that define the borders of the critical region) are .
The estimated standard error is .
The t statistic is .
The t statistic in the critical region. Therefore, the null hypothesis rejected.
Therefore, the researcher conclude that SAM-e has a significant effect on the moods of HIV patients.
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