Question: Antipsychotic drugs are widely prescribed for conditions such as schizophrenia and bipolar disorder. A recent study reported on body composition and metabolic changes for individuals who have taken various antipsychotic drugs for short periods of time. Answer the following questions associated with this study (15 points)

1. What are the upper and lower bound 95% confidence intervals for a sample of 41 patients who had taken aripipazole (an antipsychotic drug) and had a mean change in total cholesterol of 3.75 mg/dL and a standard error of 3.878?
2. Another group of 36 patients have taken quetiapine as a drug to treat bipolar disorder. On average, the patients experienced a change in cholesterol level of 9.05 mg/dl with a standard error of 4.256. Conduct a test at the alpha = .05 level to determine if the true average cholesterol level changed due to the effects of taking quetiapine as a treatment for bipolar disorder.
3. For a sample of 45 individuals who have taken olanzapine, the study reported a 95% confidence interval increase of cholesterol level to be 7.38 mg/dL and 9.69mg/dL. What are the 99% confidence interval values?

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