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

question 113

Multiple Choice

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.

• A)Since -1.2445 < 1.013 < 1.2445,do not reject H₀ and conclude that the filling machine remains all right to operate.
• B)Since -1.2445 < 1.013 < 1.2445,reject H₀ and conclude that the filling machine needs to be moderated.
• C)Since -2.1315 < 1.83 < 2.1315,do not reject H₀ and conclude that the filling machine remains all right to operate.
• D)Since -2.1315 < 1.83 < 2.1315,reject H₀ and conclude that the filling machine needs to be moderated.

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Definitions:

Collectivistic Cultures

Cultures that emphasize the needs and goals of the group over those of the individual.

Network Density

A measure of how closely knit individuals in a network are, based on the number of connections compared to the total possible connections.

Team Potency

The collective belief among team members that they can be effective and achieve their goals together.

Network Centralization

A measure of the extent to which network ties are concentrated in one or a few nodes or individuals within a network, impacting communication and power dynamics.