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The random variable x has a normal distribution with standard deviation 3.5 but unknown mean . The hypothesis H 0 : = 3 is to

  The random variable x has a normal distribution with standard deviation 3.5 but unknown mean . The hypothesis H0 : = 3 is to be tested against H1 : = 4 by taking a random sample of size 70 from the distribution of x and rejecting H0 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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