. Is there evidence at the 0.05 level that the boards are too short and unusable?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A lumber company is making boards that are 2881.0 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 40 boards is made, and it is found that they have a mean of 2878.2 millimeters. Assume the standard deviation is known to be 10.0. Is there evidence at the 0.05 level that the boards are too short and unusable?

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