Refer to Data Set 17 in Appendix B. Construct a relative frequency distribution for the weights of regular Coke. Start with a lower class limit of 0.7900 lb, and use a class width of 0.0050 lb. Then construct another relative frequency distribution for the weights of Diet Coke by starting with a lower class limit of 0.7750 lb, and use a class width of 0.0050 lb. Then compare the results to determine whether there appears to be a significant difference. If so, provide a possible explanation for the difference.

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Weight Regular Volume Weight Volume Weight Regular Pepsi Volume Weight Volume Regular Diet Diet Regular Pepsi Diet Diet Coke Coke Coke Coke Pepsi Pepsi 0.8192 0.8150 0.8163 12.3 12.1 12.2 0.7773 0.7758 0.7896 0.7868 12.1 12.1 12.3 0.8258 0.8156 0.8211 12.4 12.2 12.2 0.7925 0.7868 0.7846 0.7938 12.3 12.2 12.2 0.8211 0.8181 0.8247 0.8062 12.3 12.2 12.3 12.0 12.3 12.2 12.3 12.2 0.8170 0.8216 0.8302 0.8192 12.2 12.2 12.4 12.2 12.3 12.2 12.2 0.7844 0.7861 0.7806 0.7830 0.7852 0.7879 0.7881 0.7861 0.7844 0.7795 12.2 0.8128 0.8172 0.8110 0.8251 12.1 12.2 12.1 12.3 12.2 12.2 12.3 12.3 12.3 12.3 0.8192 0.8271 0.8251 0.8227 12.2 12.3 12.3 12.2 0.7883 0.7879 0.7850 0.7899 12.3 12.2 12.3 12.3 0.8264 0.7901 0.8244 12.3 11.8 12.3 0.7826 0.7923 0.7852 0.8256 0.8139 0.8260 12.3 12.2 12.3 0.7877 0.7852 0.7756 12.2 12.2 12.1 12.3 0.8073 0.8079 0.8044 0.8170 12.1 12.1 12.0 12.2 0.7872 0.7813 0.7885 0.7760 12.3 12.2 0.8227 0.8388 0.8260 0.8317 12.2 12.5 12.3 12.4 0.7837 0.7879 0.7839 0.7817 12.2 12.2 12.2 12.2 12.3 12.1 0.8161 0.8194 0.8189 0.8194 12.2 12.2 12.2 12.2 0.7822 0.7874 0.7822 0.7839 12.2 12.3 12.2 12.2 0.8247 0.8200 0.8172 0.8227 12.3 12.2 12.2 12.3 12.3 0.7822 0.7742 0.7833 0.7835 12.2 12.1 12.2 12.2 0.8176 0.8284 0.8165 12.2 12.4 12.2 0.7802 0.7892 0.7874 12.1 12.3 0.8244 0.8244 0.8319 0.7855 0.7859 0.7775 0.7833 0.7835 0.7826 0.7815 0.7791 0.7866 0.7855 12.2 12.4 12.3 12.2 12.2 12.1 12.2 0.8143 0.8229 0.8150 0.8152 12.2 12.3 12.2 12.2 0.7907 0.7771 0.7870 0.7833 12.3 12.1 12.2 12.3 12.2 12.3 12.4 0.8247 0.8214 0.8291 0.8227 0.8211 0.8401 0.8233 12.2 12.4 12.3 12.2 12.2 12.2 12.2 0.8244 0.8207 0.8152 0.8126 0.8295 0.8161 0.8192 12.3 12.2 12.2 0.7822 0.7837 0.7910 12.3 12.5 12.3 12.1 12.3 12.2 12.2 12.1 12.4 12.2 0.7879 0.7923 0.7859 0.7811 12.3 12.4 0.8291 0.8172 0.8233 0.8211 12.4 12.2 12.4 0.7848 0.7806 0.7773 0.7775 12.2 12.1 12.1 12.3 12.2 12.2 12.3