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 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).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Question

Q2
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).

Expert Solution