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A Machine Has Been Designed to Make Nails Which Are

question 48

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A machine has been designed to make nails which are 8cm long with a standard deviation of 0.15cm. A sample of 48 nails is selected periodically to assess if the length is too variable from the standard of 8cm. From the sample of 48 nails, the mean is found to be 7.983cm. Assume the lengths are normally distributed.
-How much evidence is there that the nails made are not long enough?


Definitions:

Unconscious Processes

Mental activities beyond conscious awareness, influencing perceptions, thoughts, and behaviors.

Heritability

A measure of how much of the variation in a trait in a population is due to genetic differences among individuals in that population.

Biological Approach

A perspective in psychological and medical research that emphasizes the importance of physical processes and genetic influences on behavior.

Cross-Situational Consistency

The concept that an individual's behavior and responses are consistent across different situations.

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