6. The mean, u of the times it takes a lab technician to perform a certain task is of interest. The lab technician was observed on sixteen different occasions, and the average time was 4.3 minutes with the standard deviation 0.6 minute. Assume the times are normally distributed. (a) Find a one sided 95% confidence interval with an upper bound for the mean time. (b) Find a 95% prediction interval on the next time to be measured.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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6. The mean, u of the times it takes a lab technician to perform a certain task is of interest.
The lab technician was observed on sixteen different occasions, and the average time
was 4.3 minutes with the standard deviation 0.6 minute. Assume the times are normally
distributed.
(a) Find a one sided 95% confidence interval with an upper bound for the mean time.
(b) Find a 95% prediction interval on the next time to be measured.
Transcribed Image Text:6. The mean, u of the times it takes a lab technician to perform a certain task is of interest. The lab technician was observed on sixteen different occasions, and the average time was 4.3 minutes with the standard deviation 0.6 minute. Assume the times are normally distributed. (a) Find a one sided 95% confidence interval with an upper bound for the mean time. (b) Find a 95% prediction interval on the next time to be measured.
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