A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 28 doors is made, and it is found that they have a mean of 2069millimeters with a variance of 900. Is there evidence at the 0.05 level that the doors are either too long or too short?   State the null and alternative hypotheses for the above scenario.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 28 doors is made, and it is found that they have a mean of 2069millimeters with a variance of 900. Is there evidence at the 0.05 level that the doors are either too long or too short?

 

State the null and alternative hypotheses for the above scenario.

 
 
 
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