12 pts I work for a pharmaceutical company and I want to show that our new pill lowers cholesterol I know that by not taking a pill there is a 0 milligram per deciliter mg dl drop in blood cholesterol with a standard deviation of o 13 mg dl Assume that cholesterol is normally distributed In a random sample of 80 men taking the new cholesterol drug I find a drop in the blood cholesterol of 3 mg dl x 3 I need to find out if this is a statistically significant drop Test at the 0 05 significance level a What type of test are we using We are using a one sample test as this is appropriate for when we have a sample and want to compare the sample mean to a known population mean This is a left tailed test since we re interested in whether the new pill lowers cholesterol b Do we meet the assumptions for normality for this type of test justify your response Since the sample size is 80 and therefore greater than 30 we can reasonably assume normality is present c Write the hypotheses for this test in words Ho The new pill will have no effect on cholesterol Ha The new pill will result in a decrease in cholesterol d Write the hypotheses for this test symbolically Ho 0 Ha 0 e Find the sample statistic test statistic and p value Sketch a distribution that shows your p value either with your sample statistic or your test statistic if you prefer