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12 pts I work for a pharmaceutical company and I want to show that our...

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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

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