Question: During 2012, the average monthly bill for digital cable in the United States was $86 according to research firm Centris. Suppose Comcast would like to

During 2012, the average monthly bill for digital cable in the United States was $86 according to research firm Centris.

Suppose Comcast would like to test the hypothesis that the average monthly bill is higher than $86 this year. A random sample of 52 households was chosen. Assume the standard deviation of monthly cable bills in the country is $17.

a. Explain in your own words how a Type I and Type II error can occur in this hypothesis test.

b. Using a = 0.01, compute the probability of a Type II error occurring if the actual average monthly cable bill is

$92.

c. Using a = 0.05, compute the probability of a Type II error occurring if the actual average monthly cable bill is

$92.

d. Explain the differences in the results you calculated in parts b and c.

AppendixLO1

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