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The Makers of Mini-Oats Cereal Have an Automated Packaging Machine

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The makers of Mini-Oats Cereal have an automated packaging machine that can be set at any targeted fill level between 12 and 32 ounces. Every box of cereal is not expected to contain exactly the targeted weight, but the average of all boxes filled should. At the end of every shift (eight hours) , 16 boxes are selected at random and the mean and standard deviation of the sample are computed. Based on these sample results, the production control manager determines whether the filling machine needs to be readjusted or whether it remains all right to operate. Use α= 0.05. At the end of a particular shift during which the machine was filling 24-ounce boxes of Mini-Oats, the sample mean of 16 boxes was 24.32 ounces, with a standard deviation of 0.70 ounce. Assist the production control manager in determining if the machine is achieving its targeted average using test statistic and critical value t.

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Definitions:

Extrinsic Motivation

A form of motivation driven by external rewards such as money, fame, grades, and praise.

Anorexia Nervosa

An eating disorder characterized by an intense fear of gaining weight, leading to insufficient food intake and excessive weight loss.

Bulimia

An eating disorder marked by episodes of binge eating followed by inappropriate compensatory behaviors such as vomiting, fasting, or excessive exercise.

Successfully Meeting Goal

Achieving a set objective or reaching a target as planned or desired, often through effort and determination.

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