please show an explanation please

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An IQ test is designed so that the mean is 100 and the standard deviation is 16 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 5 IQ points of the true mean. Assume that o = 16 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 . (Round up to the nearest integer.)Refer to the accompanying data set of mean drive-through service times at dinner in seconds at two fast food restaurants. Construct a 90% confidence interval estimate of the mean drive-through service time for Restaurant X at dinner; then do the same for Restaurant Y. Compare the results. Click the icon to view the data on drive-through service times. Construct a 90% confidence interval of the mean drive-through service times at dinner for Restaurant X. sec