A researcher is interested in finding a 98% confidence interval for the mean number minutes students are concentrating on their professor during a one hour statistics lecture. The study included 96 students who averaged 41.8 minutes concentrating on their professor during the hour lecture. The standard deviation was 12.9 minutes. Round answers to 3 decimal places where possible.
a. To compute the confidence interval use a ? distribution.
b. With 98% confidence the population mean minutes of concentration is between ? and ? minutes.
c. If many groups of 96 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.
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