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 38.7 minutes concentrating on their professor during the hour lecture. The standard deviation was 13.2 minutes. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a ? z t 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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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 38.7 minutes concentrating on their professor during the hour lecture. The standard deviation was 13.2 minutes. Round answers to 3 decimal places where possible.

a. To compute the confidence interval use a ? z t 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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