Calculate power in Statistics
A cigarette manufacteror claims that the mean nicotine content of its cigarettes is 15 mg 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.