b. Now, take a random sample of 25 states. Estimate a 95% confidence interval around the mean: i. Calculate the standard error of the mean by hand using the information in this output. ii. Write a sentence interpreting this confidence interval so that a layperson could understand it. iii. Is the true population mean captured in this confidence interval? Why or why not?Descriptives Statistic Std. Error Robbery Rate per 100K Mean 100.7200 10.45542 95% Confidence Interval Lower Bound 79.1411 for Mean Upper Bound 122.2989 5% Trimmed Mean 99.0289 Median 98.7000 Variance 2732.895 Std. Deviation 52.27710 Minimum 14.30 Maximum 228.00 Range 213.70 Interquartile Range 75.95 Skewness .326 .464 Kurtosis -.035 902