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 118 students who averaged 39.4 minutes concentrating on their professor during the hour lecture. The standard deviation was 13.7 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 118 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 1GP
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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 118 students who averaged
39.4 minutes concentrating on their professor
during the hour lecture. The standard
deviation was 13.7 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 118 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.
Transcribed Image Text: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 118 students who averaged 39.4 minutes concentrating on their professor during the hour lecture. The standard deviation was 13.7 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 118 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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