Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. 15 randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Type II error is:单项选择题

A

to conclude that the current mean hours per week is higher than 4.5, when in fact, it is the same

B

to conclude that the current mean hours per week is higher than 4.5, when in fact, it is higher

C

to conclude that the mean hours per week currently is 4.5, when in fact, it is higher

D

to conclude that the current mean hours per week is higher than 4.5, when in fact, it is lower

E

to conclude that the mean hours per week currently is not higher than 4.5, when in fact, it is the same

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What is the probability of making a Type II Error in a test?

A manager of the credit department for an oil company would like to determine whether the mean monthly balance of credit card holders is equal to $102. An auditor selects a random sample of 32 accounts and finds that the mean owed is $111.5 with a sample standard deviation of $23.15. Suppose you wanted to conduct a test to determine whether the auditor should conclude that there is evidence that the mean balance is different from $102. In the context of this questions, which of the following interpretations of Type II Error is correct?[Fill in the blank]

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