Asimple random sample of size n is drawn from a population that is normally distributed. the sample mean, x overbar, is found to be 106, and the sample standard deviation, s, is found to be 10. (a) construct a 96% confidence interval about mu if the sample size, n, is 16. (b) construct a 96% confidence interval about mu if the sample size, n, is 21. (c) construct a 98% confidence interval about mu if the sample size, n, is 16. (d) could we have computed the confidence intervals in parts () if the population had not been normally distributed?

Arandomized controlled trial is designed to evaluate the effect of metoprolol in patients with heart failure. while preparing for statistical analysis, the researcher reviews some common types of statistical errors. which of the following statements is true regarding a type i error in a clinical study? a. the study is not significantly powered to detect a true difference between study groups. bthe null hypothesis is true but is rejected in error. c. the null hypothesis is false but is accepted in error. d. type i error is also known as beta and is usually 0.1 or 0.2. e. type i error depends on the study's confidence interval.