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...

Extracted 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