A simple random sample of 36 cans of regular Coke has a mean volume of 12.19 oz (based on Data Set 17 in Appendix B). Assume that the standard deviation of all cans of regular Coke is 0.11 oz. Use a 0.01 significance level to test the claim that cans of regular Coke have volumes with a mean of 12 oz, as stated on the label. If there is a difference, is it substantial?

Data Set 17: Weights and Volumes of Cola Weights are in pounds and volumes are in ounces. STATDISK: Minitab: Excel: TI-83/84 Plus: Text file names: Weight Volume Regular Coke 0.8192 0.8150 0.8163 0.8211 0.8181 0.8247 0.8062 0.8128 0.8172 0.8110 0.8251 0.8264 0.7901 0.8244 0.8073 0.8079 0.8044 0.8170 0.8161 0.8194 0.8189 0.8194 0.8176 0.8284 0.8165 0.8143 0.8229 0.8150 0.8152 0.8244 0.8207 0.8152 0.8126 0.8295 0.8161 0.8192 Regular Coke 12.3 12.1 12.2 12.3 12.2 12.3 12.0 12.1 12.2 12.1 12.3 12.3 11.8 12.3 12.1 12.1 12.0 12.2 12.2 12.2 12.2 12.2 12.2 12.4 12.2 12.2 12.3 12.2 12.2 12.3 12.2 12.2 12.1 12.4 12.2 12.2 Data set name is Cola. Worksheet name is COLA.MTW. Workbook name is COLA.XLS. App name is COLA, and the file names are the same as for text files. CRGWT, CRGVL, CDTWT, CDTVL, PRGWT, PRGVL, PDTWT, PDTVL. Weight Volume Diet Diet Coke Coke 0.7773 0.7758 0.7896 0.7868 0.7844 0.7861 0.7806 0.7830 0.7852 0.7879 0.7881 0.7826 0.7923 0.7852 0.7872 0.7813 0.7885 0.7760 0.7822 0.7874 0.7822 0.7839 0.7802 0.7892 0.7874 0.7907 0.7771 0.7870 0.7833 0.7822 0.7837 0.7910 0.7879 0.7923 0.7859 0.7811 12.1 12.1 12.3 12.3 12.2 12.3 12.2 12.2 12.2 12.3 12.3 12.3 12.3 12.3 12.3 12.2 12.3 12.1 12.2 12.3 12.2 12.2 12.1 12.3 12.2 12.3 12.1 12.2 12.3 12.2 12.3 12.4 12.3 12.4 12.3 12.2 Weight Regular Pepsi 0.8258 0.8156 0.8211 0.8170 0.8216 0.8302 0.8192 0.8192 0.8271 0.8251 0.8227 0.8256 0.8139 0.8260 0.8227 0.8388 0.8260 0.8317 0.8247 0.8200 0.8172 0.8227 0.8244 0.8244 0.8319 0.8247 0.8214 0.8291 0.8227 0.8211 0.8401 0.8233 0.8291 0.8172 0.8233 0.8211 Volume Regular Pepsi 12.4 12.2 12.2 12.2 12.2 12.4 12.2 12.2 12.3 12.3 12.2 12.3 12.2 12.3 12.2 12.5 12.3 12.4 12.3 12.2 12.2 12.3 12.3 12.2 12.4 12.3 12.2 12.4 12.3 12.3 12.5 12.3 12.4 12.2 12.4 12.3 Weight Diet Pepsi 0.7925 0.7868 0.7846 0.7938 0.7861 0.7844 0.7795 0.7883 0.7879 0.7850 0.7899 0.7877 0.7852 0.7756 0.7837 0.7879 0.7839 0.7817 0.7822 0.7742 0.7833 0.7835 0.7855 0.7859 0.7775 0.7833 0.7835 0.7826 0.7815 0.7791 0.7866 0.7855 0.7848 0.7806 0.7773 0.7775 Volume Diet Pepsi 12.3 12.2 12.2 12.3 12.2 12.2 12.2 12.3 12.2 12.3 12.3 12.2 12.2 12.1 12.2 12.2 12.2 12.2 12.2 12.1 12.2 12.2 12.2 12.2 12.1 12.2 12.2 12.2 12.2 12.1 12.3 12.2 12.2 12.2 12.1 12.1