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**DINOCALC09** A cigarette manufacteror claims that the mean nicotine content of its cigarettes is 15 mg Mr F says: Strong cigarettes .... You'd only need to smoke 1 a day I imagine. Much healthier than if the content was 1.5 mg, say .....

with a standard deviation of 0.25 mg. A simple random sample of 45 cigarettes is tested to determine the mean nicotine content. Using the following information, answer the questions.

Ho: population mean = 1.5

Ha: population mean > 1.5

Reject Ho when sample mean > 1.85

A.) Calculate the power of the test against the alternative value, alternative population mean =1.95. Assume a normal distribution.

I know power is 1 - a Type II error (failing to reject a false hypothesis). However, do not know how to go about solving this.

B.) What is the probability that you would make a Type II error.

Please explain.