Consider the Following to Answer the Question(s) Below

question 22

Multiple Choice

Consider the following to answer the question(s) below:
In a metal fabrication process, metal rods are produced that have an average length of 20.5 metres with a standard deviation of 2.3 metres. A quality control specialist collects a random sample of 30 rods and measures their lengths.
-The sampling distribution of the sample mean lengths is Normally distributed with a mean of 20.5 metres and standard deviation of 0.42 metres. We can say this because

• A) The sample size is not too large.
• B) The Central Limit theorem applies.
• C) The Normal Probability theorem applies.
• D) All of the above
• E) None of the above

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Definitions:

Covert Self-guidance

An internal process where an individual directs their own actions and thoughts in achieving personal goals without external observation.

Self-evaluation Self-statement

Internal reflections and judgments that individuals make about their own performance or behavior.

Irrational Conclusions

Beliefs or judgments not based on rational analysis or evidence, often leading to negative thinking patterns.

Awfulizing

The cognitive distortion involving the exaggeration of the negativity of an event or situation.