Suppose a random sample of size n = 100 has been selected and the sample mean is found to be x̄ = 67. The population standard deviation is assumed to be σ = 12. Please answer the following questions. (a) What is the standard error of the mean σx̄? (b) What is the margin of error if the confidence level is (1 – α ) = 0.95? (c) What is the 95% confidence interval estimate of µ?

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