The mean length of time required to perform a certain task on an assembly line has been established at 15.5 minutes. A random sample of 9 employees is taught a new method. After the training period, the average time these 9 employees take to perform the task is 13.5 minutes with a standard deviation of 3 minutes. Do these results provide sufficient evidence to indicate that the new method is faster than the old? Use a .05 level of significance. Assume that the times required to perform the task are normally distributed.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The mean length of time required to perform a certain task on an assembly line has been established at 15.5 minutes. A
random sample of 9 employees is taught a new method. After the training period, the average time these 9 employees
take to perform the task is 13.5 minutes with a standard deviation of 3 minutes. Do these results provide sufficient
evidence to indicate that the new method is faster than the old? Use a .05 level of significance. Assume that the times
required to perform the task are normally distributed.

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