Question: The random variable X has a normal distribution with standard deviation 3.5 but unknown mean . The hypothesis Ho: M = = 3 is

The random variable X has a normal distribution with standard deviation 3.5 but unknown mean . The hypothesis Ho: M = = 3 is to be tested against H: 4 by taking a random sample of size 70 from the distribution of X and rejecting Ho if the sample mean exceeds 3.2. a) Find the Type I error probability of this procedure, to two decimal places: b) Find the Type II error probability of this procedure, to two decimal places:

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