In: Statistics and Probability
A researcher is interested in finding a 95% confidence interval for the mean number minutes students are concentrating on their professor during a one hour statistics lecture. The study included 41 students who averaged 34.7 minutes concentrating on their professor during the hour lecture. The standard deviation was 12.1 minutes. Round answers to 3 decimal places where possible.
a. To compute the confidence interval use a distribution.
b. With 95% confidence the population mean minutes of concentration is between and minutes.
c. If many groups of 41 randomly selected members are studied, then a different confidence interval would be produced from each group. About ? percent of these confidence intervals will contain the true population mean minutes of concentration and about ? percent will not contain the true population mean minutes of concentration.