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

question 49

Short Answer

TABLE 9-3
An appliance manufacturer claims to have developed a compact microwave oven that consumes an average of no more than 250 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a 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 an average of 257.3 W.
-Referring to Table 9-3, what is the probability of making a Type II error if the average power consumption of all such microwave ovens is in fact 248 W using a 0.05 level of significance?

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Definitions:

Compromise of 1850

A series of congressional laws intended to settle the issues arising from the expansion of slavery into new territories, aiming to ease tensions between the North and South.

Kansas-Nebraska Act

Legislation passed in 1854 that allowed the territories of Kansas and Nebraska to decide for themselves whether or not to allow slavery within their borders, leading to violent conflict.

John C. Calhoun

A prominent American politician and political theorist from South Carolina, known for his strong defense of slavery and advocating for states' rights.

Transcontinental Railroad

A railroad system that crosses a continental landmass, notably the first such railroad completed in the United States in 1869, connecting the Atlantic and Pacific coasts.