The data below shows the sugar content in grams of severalbrands of​ children's and​ adults' cereals. Create and interpret a​95% confidence interval for the difference in the mean sugar​content,
mu Subscript Upper C Baseline minus mu Subscript UpperAμC−μA.
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: 40.6 comma40.6, 58.3 comma58.3, 47 comma47, 42.6 comma42.6, 52.2 comma52.2, 47 comma47, 53.3 comma53.3, 41.7 comma41.7, 44.9 comma44.9, 43 comma43, 47.9 comma47.9, 40.2 comma40.2, 35.6 comma35.6, 56.4 comma56.4, 48.5 comma48.5, 54.3 comma54.3, 36.9 comma36.9, 56.4 comma56.4, 44.7 comma44.7, 34.834.8 |
|
| ​Adults' cereal: 21.8 comma21.8, 26.1 comma26.1, 1.8 comma1.8, 7.4 comma7.4, 3.1 comma3.1, 24.3 comma24.3, 16.6 comma16.6, 12.3 comma12.3, 24.8 comma24.8, 9.3 comma9.3, 6.9 comma6.9, 10.6 comma10.6, 15.9 comma15.9, 11.5 comma11.5, 1.8 comma1.8, 18.8 comma18.8, 1.6 comma1.6, 2.3 comma2.3, 2.6 comma2.6, 9.3 comma9.3, 11.1 comma11.1, 1.7 comma1.7, 2.9 comma2.9, 3.6 comma3.6, 6.8 comma6.8, 2.7 comma2.7, 17.1 comma17.1, 7.9 comma7.9, 17.5 comma17.5, 13.9 |
