A sample of 144 values is randomly selected from a population with mean, m, equal to 45 and standard deviation, s, equal to 18. ,a. Determine the interval (smallest value to largest value) within which you would expect a sample mean to lie. ,b. What is the amount of deviation from the mean for a sample mean of 45.3? ,c. What is the maximum deviation you have allowed for in your answer to part a? ,d. How is this maximum deviation related to the standard error of the mean?