A pharmaceutical company needs to know if its new cholesterol drug, Praxor, is effective at lowering cholesterol levels. It believes that people who take Praxor will average a greater decrease in cholesterol level than people taking a placebo. After the experiment is complete, the researchers find that the 32 participants in the treatment group lowered their cholesterol levels by a mean of 19.4 points with a standard deviation of 3.9 points. The 37 participants in the control group lowered their cholesterol levels by a mean of 18.6 points with a standard deviation of 1.6 points. Assume that the population variances are not equal and test the company’s claim at the 0.01 level. Let the treatment group be Population 1 and let the control group be Population 2. Step 3 of 3 : Draw a conclusion and interpret the decision. reject or fail to reject. Is there enough evidence
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.
A pharmaceutical company needs to know if its new cholesterol drug, Praxor, is effective at lowering cholesterol levels. It believes that people who take Praxor will average a greater decrease in cholesterol level than people taking a placebo. After the experiment is complete, the researchers find that the 32 participants in the treatment group lowered their cholesterol levels by a mean of 19.4 points with a standard deviation of 3.9 points. The 37 participants in the control group lowered their cholesterol levels by a mean of 18.6 points with a standard deviation of 1.6 points. Assume that the population variances are not equal and test the company’s claim at the 0.01 level. Let the treatment group be Population 1 and let the control group be Population 2.
Step 3 of 3 : Draw a conclusion and interpret the decision. reject or fail to reject. Is there enough evidence
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