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

question 91

True/False

TABLE 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 Table 9-3, for this test to be valid, it is necessary that the power consumption for microwave ovens has a normal distribution.

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Definitions:

Categorical Syllogism

An argument based on deduction that consists of two premises and three distinct terms, with each term appearing exactly two times across the three propositions.

First Premise

The initial statement or proposition from which further reasoning is based in an argument.

Valid Deductive Argument

A logical statement where, if the premises are true, the conclusion necessarily follows and must also be true.

True Conclusion

The outcome of an argument that is logically derived from true premises.