Dimensions
the Dimensions of a Two by Four Board Are $\mu$

question 107

Short Answer

Dimensions
The dimensions of a two by four board are not actually two inches by four inches.Rather the actual dimensions are supposed to be 1.50 inches by 3.50 inches.A planer finishes the boards to the proper dimensions.To maintain quality control,periodic checks are made to see that the planer is set to the correct dimension.When the planer is adjusted properly,the average width is $\mu$ = 3.5 inches.If the average width is not 3.5 inches,the planer must be adjusted.Thus the null hypothesis is $\mu$ = 3.5 inches and the alternate hypothesis is $\mu \neq$ 3.5 inches.For control purposes,a random sample of 49 boards is taken twice daily.The standard deviation of the process is $\text { σ }$ = 0.25 inches.To minimize the unnecessary adjustment of the planer,the risk of a Type I error, $\alpha$ ,is set at 0.05.
-Determine the lower and upper critical values for $\bar { x }$ .
Lower value = ____________________
Upper value = ____________________

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Definitions:

Media Violence

Depictions of violent acts in various forms of media, such as television, movies, video games, and the internet, and its impact on behavior.

Desensitization

The process of reducing sensitivity or responsiveness to a stimulus, often through repeated exposure, which can reduce fear, anxiety, or other negative responses.

Violent Brutality

Extreme harshness or cruelty in physical force, often resulting in bodily harm or suffering.

Observational Learning

A learning process through which behavior is acquired by observing and imitating the actions of others.