Section 5: Inferential Test - The Z-Test Section 5: Inferential Test - The Z-Test A drug company developed a drug D that they believe will reduce cholesterol in men. It is known that the mean...

Section 5: Inferential Test - The Z-Test
Section 5: Inferential Test - The Z-Test
A drug company developed a drug D that they believe will reduce cholesterol in men. It is
known that the mean cholesterol level of males between the ages of 20 and 74 years old
living in the United States is μ = 211 mg (per 100 ml), with a standard deviation of σ = 46
mg (per 100 ml). To test this belief, the company recruited n=1000 males between the ages
of 20 and 74 years old living in the United States and gave them drug D over the course of
3 months. At the end of the 3 month drug treatment, cholesterol level was tested for these
n=1000 study participants. Their mean cholesterol level was found to be MD = 200 ml (per
100 ml). Perform a z-test by answering the questions below. Use an alpha-level of α=.05.
1. What is the research hypothesis, H1?
2. What is the null hypothesis, H0?
3. What is the critical value of z, zcrit? (Be sure to use a + or a - sign for your answer.)
4. What is the mean of the distribution of sample means, μM?
5. What is the standard deviation of the distribution of sample means, σM?
6. What is the z-score of the sample mean, MD?
7. Based on the relation between the critical value of z and the z-score of the sample
mean, can you reject the null hypothesis?
8. Based on whether or not you can reject the null hypothesis, can you accept the research
hypothesis?
Show all of your work on the homework you submit.
https://ilearn.sfsu.edu/ay2021/course/view.php?id=17615#section-5
May 15, 2021

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