A lumber company is making boards that are 29432943 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 1414 boards is made, and it is found that they have a mean of 2940.52940.5 millimeters with a variance of 144144. Is there evidence at the 0.0250.025 level that the boards are too short and unusable? State the null and alternative hypotheses for the above scenario

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A lumber company is making boards that are 29432943 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 1414 boards is made, and it is found that they have a mean of 2940.52940.5 millimeters with a variance of 144144. Is there evidence at the 0.0250.025 level that the boards are too short and unusable?

State the null and alternative hypotheses for the above scenario.

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