An IQ test is designed so that mean is 100 and the standard deviation is 24 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 95% confidence that the simple mean is with in 3 IQ points of the true mean. Assume that mean = 24 and determine the required sample size using technology. Determine if this is a reasonable sample size for a real world calculation.
The required sample size ______ (round up to the nearest integer.
Is this a reasonable sample size for a real world calculation? ______