The following data sets represent simple random samples from a population whose mean is . Complete parts ​(a) through ​(e) below. Full data set Data Set I Data Set II Data Set III ​(a) Compute the sample mean of each data set. Calculate the sample mean for data set I. nothing ​(Type an integer or a​ decimal.) Calculate the sample mean for data set II. nothing ​(Type an integer or a​ decimal.) Calculate the sample mean for data set III. nothing ​(Round to three decimal places as​ needed.) ​(b) For each data​ set, construct a ​% confidence interval about the population mean. Construct a ​% confidence interval for data set I. The lower bound is nothing. The upper bound is nothing. ​(Round to two decimal places as​ needed.) Construct a ​% confidence interval for data set II. The lower bound is nothing. The upper bound is nothing.