A medical researcher wants to study the effectiveness of the new cholesterol drug by comparing it to the existing most common drug. A sample of 15 patients with high cholesterol is chosen at random from a cardiologist's list of patients to take the new drug. Over the course of three months, this group lowers its total cholesterol by a mean of 75.36 points with the sample standard deviation of 15.191 points. Another 19 patients with high cholesterol are chosen at random from a cardiologist's list of patients and are asked to continue taking the old drug. This group lowers its total cholesterol level by a mean of 83.25 points with the sample standard deviation of 14.792 points. The standard deviation for the first sample appears to be different from the standard deviation of the second sample. Use 1% level of significance to decide whether there is sufficient evidence that the standard deviation of the cholesterol level decrease of the new drug is greater than the standard deviation of the cholesterol level decrease of the existing most common drug. If normality plots are not provided assume that the samples are from normal populations.

Procedure: Select an answer Two proportions Z Hypothesis Test Two paired means Z Hypothesis Test Two means T (non-pooled) Hypothesis Test Two variances F Hypothesis Test Two means T (pooled) Hypothesis Test Two means Z Hypothesis Test

Assumptions: (select everything that applies)