In a test of the effectiveness of garlic for lowering cholesterol, 81 subjects Were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.3 and a standard deviation of 20.9. Use a 0.10 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.

The scores on a psychology test were normally distributed with a mean of 65 and a standard deviation of 4. Use the Empirical Rule to find the percentage of scores above 69.

A study reported on essential organic molecules and a Normal model can be used to describe these levels in adults. If the mean is 194 mg/dL and a standard deviation is 28​, complete the following questions.   a) Draw and label the Normal model.   ​b) What percent of adults do you expect to have this essential organic​ molecule, cholesterol, levels over 210 mg/dL?   ​c) What percent of adults do you expect to have cholesterol levels between 150 and 170 ​mg/dL?   ​d) Estimate the interquartile range of cholesterol levels.   IQR=___________mg/dL   e) Above what value are the highest​ 15% of​ adults' cholesterol​ levels?   ___________​mg/dL

In your work as a biomedical engineer, you need to better understand the distribution of adults' blood pressures. Specifically, you are interested in systolic blood pressure, which is a measure of pressure within arteries when a heart beats; this is the first number in a blood pressure reading. In healthy adults, systolic blood pressure has a normal distribution with a mean of 112 mm Hg and standard deviation of 10 mmHg. Before you collect sample data, you want to predict the range in which you expect almost all of the data to fall. Which of the following represents the interval that will likely contain almost all (~99.7%) of the sample measurements of healthy adult systolic blood pressure? A) (102 mm Hg, 122 mm Hg) B) (92 mm Hg, 132 mm Hg) C) (82 mm Hg, 142 mm Hg) D) (72 mm Hg, 152 mm Hg)