Data Set 18 in Appendix B lists 100 weights (in grams) of M&M candies. The minimum weight is 0.696 g and the maximum weight is 1.015 g.

a. Use the range rule of thumb to estimate ?, the standard deviation of weights of all such M&Ms.

b. The 100 weights have a standard deviation of 0.0518 g. Construct a 95% confidence interval estimate of the standard deviation of weights of all M&Ms.

c. Does the confidence interval from part (b) contain the estimated value of ? from part (a)? What do the results suggest about the estimate from part (a)?

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Data Set 18: M&M Plain Candy Weights (grams) STATDISK: Minitab: Excel: Data set name is M&M. Worksheet name is M&M.MTW. Workbook name is M&M.XLS. App name is MM, and the file names are the same as for text files. TI-83/84 Plus: Text file names are RED, ORNG, YLLW, BROWN, BLUE, GREEN. Text file names: Red 0.751 0.841 Orange Yellow 0.735 0.895 0.856 0.865 0.799 0.864 0.966 0.852 0.859 0.866 0.857 0.859 0.942 0.838 0.873 0.863 0.809 0.888 0.890 0.925 0.878 0.793 0.905 0.977 0.850 0.830 0.856 0.842 0.778 0.786 0.853 0.864 0.873 0.880 0.882 0.931 Brown Blue 0.883 0.696 0.881 0.769 0.876 0.863 0.859 0.855 0.775 0.784 0.806 0.854 0.840 0.810 0.868 0.858 0.824 0.858 0.848 0.851 0.859 0.982 0.818 0.868 0.932 0.833 0.803 0.865 0.932 0.848 0.842 0.940 0.881 0.818 0.864 0.825 0.855 0.942 0.825 Green 0.925 0.914 0.881 0.865 0.832 0.833 0.807 0.845 0.841 0.852 0.778 0.814 0.791 0.810 0.881 0.869 0.912 0.865 1.015 0.887 0.886 0.876 0.809