You are given the following information: random sample of independent, normally distributed observations with unknown mean u and known standard deviation o = 6. The sample size is n= 26. You wish to test the null hypothesis Ho:u = 40 against the alternative hypothesis H: u < 40. What value c, so that the sample mean X < c, gives probability of Type I error equal to 5%? Give your answer for c accurate to 4 decimal places. Answer:

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