An IQ test is designed so that the mean is 100 and the standard deviation is 9 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99​% confidence that the sample mean is within 2 IQ points of the true mean. Assume that a=9 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
nothing. ​(Round up to the nearest​ integer.)