Part A: 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 = 20.8 with a standard deviation of s = 5.18. In the general population of HIV patients, the standardized test is known to have a population mean of μ = 23.2. 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. From the following, select the correct null and alternative hypotheses for this study: a. H₀: μSAM-eSAM-e = 23.2; H₁: μSAM-eSAM-e ≠ 23.2 b. H₀: μSAM-eSAM-e ≥ 23.2; H₁: μSAM-eSAM-e < 23.2 c. H₀: MSAM-eSAM-e ≥ 23.2; H₁: MSAM-eSAM-e > 23.2 d. H₀: μSAM-eSAM-e ≤ 23.2; H₁: μSAM-eSAM-e > 23.2 Part B: Assume that the depression scores among patients taking SAM-e are normally distributed. You will first need to determine the degrees of freedom. There are_____degrees of freedom. a. 27 b. 24 c. 25 d. 26

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6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

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Part A:

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 = 20.8 with a standard deviation of s = 5.18. In the general population of HIV patients, the standardized test is known to have a population mean of μ = 23.2. 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.

From the following, select the correct null and alternative hypotheses for this study:

a. H₀: μSAM-eSAM-e = 23.2; H₁: μSAM-eSAM-e ≠ 23.2

b. H₀: μSAM-eSAM-e ≥ 23.2; H₁: μSAM-eSAM-e < 23.2

c. H₀: MSAM-eSAM-e ≥ 23.2; H₁: MSAM-eSAM-e > 23.2

d. H₀: μSAM-eSAM-e ≤ 23.2; H₁: μSAM-eSAM-e > 23.2

Part B:

Assume that the depression scores among patients taking SAM-e are normally distributed. You will first need to determine the degrees of freedom. There are_____degrees of freedom.

a. 27

b. 24

c. 25

d. 26

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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