Suppose that the scores for the ACT exam in a given year are…

Suppose that the scores for the ACT exam in a given year are normally distributed with an unknown  μ{“version”:”1.1″,”math”:”μ”}  and  σ=3{“version”:”1.1″,”math”:”σ=3″}.  A random sample of 36 exams has a mean of  x¯=24{“version”:”1.1″,”math”:”x¯=24″}  and a standard deviation of  s=2{“version”:”1.1″,”math”:”s=2″}.  Choose the distribution that could be used to find the 90% confidence interval for  μ{“version”:”1.1″,”math”:”μ”}  and determine how to calculate the error bound on the mean (EBM).