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You create a new hypothesis test on data .Tl, ... , with the null assumptions that they are Normally distributed with mean 10 and variance 4. You decide to use a custom hypothesis test with 10 p-value (I) 4/100 Recall that is the sample mean of the data. You will reject the test if p-value 0.01. a) What is the type I error rate of this test? 1 b) If .Tl, ... , are Normally distributed with mean 11 and variance 4, what is the type II error rate of this test? c) If .Tl, ... , .T100 are Normally distributed with mean 9 and variance 16, what is the type II error rate of this test?