A college lecturer randomly selected thirty-five students in his class to complete an assigned task and it is found that the 95% confidence interval for the true average time in completing the task is (17.278, 28.722) minutes. It is thought that this interval is too wide, and a confidence interval of total width 5 minutes will be more desirable. (a) Using the same value of x, find the new confidence interval in this case. (b) Find the confidence level for the interval in part

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 college lecturer randomly selected thirty-five
students in his class to complete an assigned task and it
is found that the 95% confidence interval for the true
average time in completing the task is (17.278, 28.722)
minutes. It is thought that this interval is too wide, and
a confidence interval of total width 5 minutes will be
more desirable.
(a) Using the same value of x, find the new
confidence interval in this case.
(b) Find the confidence level for the interval in part
Transcribed Image Text:A college lecturer randomly selected thirty-five students in his class to complete an assigned task and it is found that the 95% confidence interval for the true average time in completing the task is (17.278, 28.722) minutes. It is thought that this interval is too wide, and a confidence interval of total width 5 minutes will be more desirable. (a) Using the same value of x, find the new confidence interval in this case. (b) Find the confidence level for the interval in part
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