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 mean , find the new confidence interval in this case. (b) Find the confidence level for the interval in part (a).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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 mean , find the new confidence interval in this case.
(b) Find the confidence level for the interval in part (a). 

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