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The data below show the sugar content (as a percentage of weight) of several national brands
of children’s and adult’s cereals (De Veaux et al., 2014). Create and interpret a 95%
confidence interval for the difference between in mean sugar content. Be sure to check the
necessary assumptions and conditions

Children’s: 40.3 55 45.7 43.3 50.3 45.9 53.5 43 44.2 44 47.4 44 33.6 55.1 48.8 50.4 37.8 60.3 46.6
Adults’: 20 30.2 2.2 7.5 4.4 22.2 16.6 14.5 21.4 3.3 6.6 7.8 10.6 16.2 14.5 4.1 15.8 4.1 2.4 3.5 8.5 10 1 4.4 1.3 8.1 4.7 18.4

a) Check the assumptions and conditions
b) Report the confidence interval
c) Interpret the confidence interval
d) Does this interval suggest a true difference in mean sugar content?