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 u = 211 mg (per 100 ml), with a standard deviation of o = 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 M5 = 200 ml (per 100 ml). Perform a z-test by answering the questions below. Use an alpha-level of a=.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, HM?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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