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 diffe 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 Children's cereal: 41.6, 55.7, 47.8, 43.7, 50.3, 46.3, 51.7, 41.7, 41.1, 42.7, 45.8, 42.3, 39.9, 57.7, 47.4, 51.5, 37.7, 55.7, 44.9, 31.2 Adults' cereal: 22.8, 26.6, 0.2, 9.9, 3.8, 21.5, 18, 10.2, 22.6, 8.5, 6, 14, 17.1, 11.7, 1.2, 15.9, 1.2, 4.6, 4.5, 6.9, 14.3, 3.9, 0.1, 3.8, 9.7, 3.3, 18, 6, 19.7, 12.6 The confidence interval is (☐☐). (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.) OA. Based on these samples, with 95% confidence, adult's cereals average between the lower boundary of OB. Based on these samples, with 95% confidence, children's cereals average between the lower boundary of and upper boundary of and upper boundary of more grams of sug more grams of

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 diffe
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
Children's cereal: 41.6, 55.7, 47.8, 43.7, 50.3, 46.3, 51.7, 41.7, 41.1, 42.7, 45.8, 42.3, 39.9,
57.7, 47.4, 51.5, 37.7, 55.7, 44.9, 31.2
Adults' cereal: 22.8, 26.6, 0.2, 9.9, 3.8, 21.5, 18, 10.2, 22.6, 8.5, 6, 14, 17.1, 11.7, 1.2, 15.9,
1.2, 4.6, 4.5, 6.9, 14.3, 3.9, 0.1, 3.8, 9.7, 3.3, 18, 6, 19.7, 12.6
The confidence interval is (☐☐).
(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.)
OA. Based on these samples, with 95% confidence, adult's cereals average between the lower boundary of
OB. Based on these samples, with 95% confidence, children's cereals average between the lower boundary of
and upper boundary of
and upper boundary of
more grams of sug
more grams of
Transcribed Image Text: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 diffe 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 Children's cereal: 41.6, 55.7, 47.8, 43.7, 50.3, 46.3, 51.7, 41.7, 41.1, 42.7, 45.8, 42.3, 39.9, 57.7, 47.4, 51.5, 37.7, 55.7, 44.9, 31.2 Adults' cereal: 22.8, 26.6, 0.2, 9.9, 3.8, 21.5, 18, 10.2, 22.6, 8.5, 6, 14, 17.1, 11.7, 1.2, 15.9, 1.2, 4.6, 4.5, 6.9, 14.3, 3.9, 0.1, 3.8, 9.7, 3.3, 18, 6, 19.7, 12.6 The confidence interval is (☐☐). (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.) OA. Based on these samples, with 95% confidence, adult's cereals average between the lower boundary of OB. Based on these samples, with 95% confidence, children's cereals average between the lower boundary of and upper boundary of and upper boundary of more grams of sug more grams of
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