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 cancer. She obtains a sample of n = 20 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 = 24.4 with a standard deviation of s = 6.02. In the general population of cancer patients, the standardized test is known to have a population mean of p = 27.2. 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.
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 cancer. She obtains a sample of n = 20 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 = 24.4 with a standard deviation of s = 6.02. In the general population of cancer patients, the standardized test is known to have a population mean of p = 27.2. 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.
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
Transcribed Image Text: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 cancer patients.

Transcribed Image Text: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 cancer. She obtains a sample of n = 20 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 = 24.4 with a standard deviation of s = 6.02. In the general population of cancer patients, the
standardized test is known to have a population mean of
27.2. 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:
Ho: PSAM-e =
27.2; H1: HSAM-e + 27.2
Ho: HSAM-e > 27.2; H1: HSAM-e < 27.2
Ho: HSAM-e + 27.2; H1: PSAM-e = 27.2
Ho: MSAM-e > 27.2; H1: MSAM-e > 27.2
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.
Use the t
22
ion table to find the critical region for a = 0.05.
21
The t Distr
20
19
Proportion in One Tail
0 25
O 10
0. 035
0. 01
0.005
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