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 132 students who averaged 40.3 minutes concentrating on their professor during the hour lecture. The standard deviation was 13.8 minutes. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a ? t z  distribution. b. With 98% confidence the population mean minutes of concentration is between  and   minutes. c. If many groups of 132 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
Section10.4: Distributions Of Data
Problem 19PFA
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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 132 students who averaged 40.3 minutes concentrating on their professor during the hour lecture. The standard deviation was 13.8 minutes. Round answers to 3 decimal places where possible.

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

b. With 98% confidence the population mean minutes of concentration is between  and   minutes.

c. If many groups of 132 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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