For sigma 3 and a 02 significance what sample size would yo

For sigma = 3 and a .02 significance, what sample size would you recommend if you want an 80% chance of detecting that mu is less than 25 mpg when it is actually 24 mpg? Consider the following hypothesis test. A simple random sample of n = 50 items will be selected and the population standard deviation is sigma = 200. Use alpha = .05. Compute the probability of making a Type II error if the actual population mean is: mu = 2,425. mu = 2,450. mu = 2,475. What is the \"power of the test\" when the actual mean is 2,475? That is. what is the probability of correctly rejecting the null hypothesis when it is false and (moreover) when mu = 2,475.

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