Question

According to a report, the standard deviation of monthly cell phone bills was $49.42 three years...

According to a report, the standard deviation of monthly cell phone bills was $49.42 three years ago. A researcher suspects that the standard deviation of monthly cell phone bill is less today. (a) Determine the null and alternative hypotheses (b) Explain what it would mean to make a type I error (c) Explain what it would mean to make a type II error?

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Answer #1

Null hypothesis:

The standard deviation of monthly cell phone bills is same as $4942

Alternate hypothesis:

The standard deviation of monthly cell phone bills is less than $4942

type I error : Rejecting the null hypothesis when it is true

Claiming that the standard deviation is less than 4942 but it is actually not

type II error : Accepting the null hypothesis when it is false

Claiming that the standard deviation is 4942 but it is less than that

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