A technical training firm claims that the average time for their trainees to master a particular skill is 40 hours. To maintain this average, 24 students are tested every month. If the computed t-value falls between −?0.025 and ?0.025, the firm is satisfied with its claim. What conclusion should the firm draw from a sample that has a mean of ?̅= 42 hours and a standard deviation of ? = 6 hours? Assume the distribution of the training time to be approximately normal.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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A technical training firm claims that the average time for their trainees to master a particular skill
is 40 hours. To maintain this average, 24 students are tested every month. If the computed t-value
falls between −?0.025 and ?0.025, the firm is satisfied with its claim. What conclusion should the
firm draw from a sample that has a mean of ?̅= 42 hours and a standard deviation of ? = 6 hours?
Assume the distribution of the training time to be approximately normal.

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