Instruction 9-3 An Appliance Manufacturer Claims to Have Developed a Compact Microwave

question 178

Short Answer

Instruction 9-3
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a population standard deviation of 15 W. A consumer group has decided to try to discover if the claim appears true. They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.
-Referring to Instruction 9-3,what is the probability of making a Type II error if the mean power consumption of all such microwave ovens is in fact 257.3 W using a 0.05 level of significance?

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Definitions:

Misconceptions

False beliefs or ideas widely held by people based on incorrect interpretations or misunderstanding of facts.

Cognitive Therapy

A form of psychotherapy that aims to alter maladaptive thinking patterns, thereby changing behavior and emotional state.

Problematic Thoughts

Thoughts that are disruptive, unhelpful, or negative in nature, often contributing to emotional distress or psychological disorders.

Traditional Cognitive

Refers to approaches or theories in psychology that focus on understanding how people process, store, and retrieve information.