Students at Francis Marion University measured the mass of each M&M candy in 16 sets of 4 candies and in 16 sets of 16 candies

(a) Find the mean of the 16 values on the left side of the table and the mean of the 16 values on the right side of the table

(b) Find the standard deviation of the 16 mean values at the left side of the table and of the 16 mean values at the right side of the table.

(c) From the standard deviation of the mean values for sets of 4 candies, predict what the standard deviation is expected to be for the sets of 16 candies. Compare your prediction to the measured standard deviation in (b).

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Mean mass of each candy in sets of 16 candies Mean mass of each candy in sets of 4 candies 0.879 9 0.866 7 0.900 4 0.892 5 0.935 6 0.890 2 0.915 2 0.895 8 0.887 6 0.919 5 0.905 6 0.899 6 0.855 3 0.946 9 0.886 7 0.870 7 0.912 2 0.865 0 0.892 6 0.910 5 0.857 5 0.875 5 0.909 7 0.901 9 0.892 8 0.870 1 0.885 5 0.880 3 0.874 6 0.913 8 0.891 3 0.905 5 Mean = Standard deviation SOURCE: Data from K. Varazo, Francis Marion University.