Statdisk is designed to generate random numbers from a variety of different sampling distributions. in this experiment we will generate 500 iq scores, then we will construct a confidence interval based on the sample results. iq scores have a normal distribution with a mean of 100 and a standard deviation of 15. first generate the 500 sample values as follows. click on data, then select normal generator. in the dialog box, enter a sample size of 500, a mean of 100, a standard deviation of 15, and enter 0 for the number of decimal places. click ok. use data/descriptive statistics to find these statistics: n =sample mean =s =using the generated values, construct a 95% confidence interval estimate of the population mean of all iq scores. (all of this work is done for your own good, but is not expected to be entered as your answer to this question.)you should probably end up getting a confidence interval similar to 99.55 < mean < 102.21. if yours is not exactly the same, that's ok. it will vary depending on your sample. because of the way that the sample data were generated, we know that the population mean is 100. there is a good chance your confidence interval will include 100, the population mean. if this experiment were to be repeated over and over again, how often would we expect the confidence interval limits to contain the true population mean value of 100? be as specific as possible. avoid using general terms such as "quite often." explain how you arrived at your answer.