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Sue takes a sample of 100 students from a normal population of St. George's students with an unknown mean and known variance of 25. She

Sue takes a sample of 100 students from a normal population of St. George's students with an unknown mean and known variance of 25. She wishes to test the hypothesis Ho: u = 45, Hi > 55. She decides to accept Ho if the sample mean x<= 56.5 and reject Ho if x > 56.5. Find the probability Sue makes a Type 1 error.

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