5. Suppose a set of math test scores is normally distributed with a mean of 100 (you do not need to know the standard deviation to answer this question, but you may find it helpful to plug in a standard deviation of your choice). If you randomly select a sample of scores from this distribution, which of the following probabilities is higher? Explain your answer. a. The probability of the sample mean falling between 100 and 105 with a sample of 25 scores.
b. The probability of the sample mean falling between 100 and 105 with a sample of 36 scores.