An IQ test is designed so that the mean is 100 and the standard deviation is

14 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 within4 IQ points of the true mean. Assume that=14 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.

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Part 1

The required sample size is

enter your response here.

(Round up to the nearestinteger.)