An IQ test is designed so that the mean is 100 and the standard deviation is 22 for the population of normal adults. Find the sample size necessary to estimate the mean I score of statistics students such that it can be said with 90% confidence that the sample mean is within IQ points of the true mean. Assume that a = 22 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation, The required sample size is 52). (Round up to the nearest intogor.)