The data below shows the sugar content in grams of several brands of children's and adults' cereals. Create and interpret a 95% confidence interval for the difference in the mean sugar content, Hc -HA. Be sure to check the necessar assumptions and conditions. (Note: Do not assume that the variances of the two data sets are equal.) Full data setD Children's cereal: 44.8, 55.3, 48.4, 41.5, 50.7, 49.1, 50.2, 42.5, 42.2, 44.7, 48, 44.4, 37.1, 59.1, 45.9, 54.9, 35.6, 56.3, 42.3, 32.3 Adults' cereal: 20.2, 25.2, 4, 8.4, 2.8, 21.2, 19.9, 13.5, 22.9, 6.9, 7.2, 12, 17.3, 10.9, 0.5, 17,1. 4.5, 4.5, 3.5, 9.6, 14.6, 0.8, 3.2, 4.8, 8.7, 0.4, 19.6, 5.6, 16,5, 11.1 The confidence interval is ( D (Round to two decimal places as needed.) Interpret the confidence interval. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Based on these samples, with 95% confidence, adult's cereals average between the lower boundary of and upper boundary of more grams of sugar content than children's cereals. O B. Based on these samples, with 95% confidence, children's cereals average between the lower boundary of and upper boundary of more grams of sugar content than adult's cereals.

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The data below shows the sugar content in grams of several brands of children's and adults' cereals. Create and interpret a 95% confidence interval for the difference in the mean sugar content, Hc -Ha. Be sure to check the necessary
assumptions and conditions. (Note: Do not assume that the variances of the two data sets are equal.)
Full data set D
Children's cereal: 44.8, 55.3, 48.4, 41.5, 50.7, 49.1, 50.2, 42.5, 42.2, 44.7, 48, 44.4, 37.1,
59.1, 45.9, 54.9, 35.6, 56.3, 42.3, 32.3
Adults' cereal: 20.2, 25.2, 4, 8.4, 2.8, 21.2, 19.9, 13.5, 22.9, 6.9, 7.2, 12, 17.3, 10.9, 0.5, 17.1,
4.5, 4.5, 3.5, 9.6, 14.6, 0.8, 3.2, 4.8, 8.7, 0.4, 19.6, 5.6, 16.5, 11.1
The confidence interval is ( D-
(Round to two decimal places as needed.)
Interpret the confidence interval. Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed.)
O A. Based on these samples, with 95% confidence, adult's cereals average between the lower boundary of and upper boundary of
more grams of sugar content than children's cereals.
O B. Based on these samples, with 95% confidence, children's cereals average between the lower boundary of and upper boundary of
more grams of sugar content than adult's cereals.
Transcribed Image Text:Question Help The data below shows the sugar content in grams of several brands of children's and adults' cereals. Create and interpret a 95% confidence interval for the difference in the mean sugar content, Hc -Ha. Be sure to check the necessary assumptions and conditions. (Note: Do not assume that the variances of the two data sets are equal.) Full data set D Children's cereal: 44.8, 55.3, 48.4, 41.5, 50.7, 49.1, 50.2, 42.5, 42.2, 44.7, 48, 44.4, 37.1, 59.1, 45.9, 54.9, 35.6, 56.3, 42.3, 32.3 Adults' cereal: 20.2, 25.2, 4, 8.4, 2.8, 21.2, 19.9, 13.5, 22.9, 6.9, 7.2, 12, 17.3, 10.9, 0.5, 17.1, 4.5, 4.5, 3.5, 9.6, 14.6, 0.8, 3.2, 4.8, 8.7, 0.4, 19.6, 5.6, 16.5, 11.1 The confidence interval is ( D- (Round to two decimal places as needed.) Interpret the confidence interval. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Based on these samples, with 95% confidence, adult's cereals average between the lower boundary of and upper boundary of more grams of sugar content than children's cereals. O B. Based on these samples, with 95% confidence, children's cereals average between the lower boundary of and upper boundary of more grams of sugar content than adult's cereals.
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