Problem 1. (1 point) You have information to suggest that a certain continuous variable of a population has a mean of / = 13.73 and a standard deviation of 6 = 4.31. You are to randomly pick n = 79 individuals from this population and observe the value of the population variable on each . This value is to measured as Xi. After the random sample of n = 79 has been taken, you are asked to consider the behavior of the statistic X. (a) Complete the statement below. Use as many decimals as you can. The distribution of X ? . is approximately Normal . is exactly Normal . is skewed to the right . has an unknown shape with a mean #x = - and a standard deviation Ox = - (b) Find the probability that mean of the sample of n = 79 is between 12.93 and 14.23. Use at least four decimals in your z- values, and enter your answer to at least four decimals