Antipsychotic drugs are widely prescribed for conditions such as schizophrenia and bipolar disease. An article reported on body composition and metabolic changes for individuals who had taken various antipsychotic drugs for short periods of time. (a) The sample of 37 individuals who had taken aripiprazole had a mean change in total cholesterol (mg/dL) of 3.55, and the estimated standard error sD n was 3.578. Calculate a confidence interval with confidence level approximately 95% for the true average increase in total cholesterol under these circumstances. (Round your answers to two decimal places.) , mg/dL (b) The article also reported that for a sample of 36 individuals who had taken quetiapine, the sample mean cholesterol level change and estimated standard error were 9.07 and 4.256, respectively. Make any necessary assumptions about the distribution of change in cholesterol level, test the hypothesis that the true average cholesterol level increases. State the appropriate hypotheses. (Use ????D = ????after ? ????before.) H0: ????D = 0 Ha: ????D < 0H0: ????D = 0 Ha: ????D ? 0 H0: ????D = 0 Ha: ????D > 0H0: ????D = 0 Ha: ????D ? 0H0: ????D = 0 Ha: ????D ? 0 Calculate the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t=P-value= Identify the significance levels at which there is sufficient evidence to reject H0. (Select all that apply.) ???? = 0.1???? = 0.05???? = 0.01???? = 0.001 Does the choice of significance level impact your conclusion as to whether true average cholesterol level increases? Explain. No. The choice of significance level does not impact the conclusion because the null hypothesis is rejected for all reasonable values of ????.No. The choice of significance level does not impact the conclusion because the null hypothesis is rejected for some values of ???? but not for others. Yes. The choice of significance level impacts the conclusion because the null hypothesis is rejected for some values of ???? but not for others.Yes. The choice of significance level impacts the conclusion because the null hypothesis is rejected for all reasonable values of ????. (c) For the sample of 39 individuals who had taken olanzapine, the article reported (7.115, 9.435) as a 95% CI for true average weight gain (kg). What is a 99% CI? (Round your answers to three decimal places.) , kg