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In a study of 100 subjects the mean μ of a variable assumed to be normally distributed was estimated to be 140 and further the 95% confidence interval was estimated to be (135,145).

a) What can you say about the outcome of the following test H0: μ = 136 against H1: μ ≠ 136

b) How many subjects would you approximately need to reduce the length of the 95% confidence interval to 2 units?

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