Childrens cereal 428 594 469 403 548 482 546 444 422 413 472

Children\'s cereal: 42.8, 59.4, 46.9, 40.3, 54.8, 48.2, 54.6, 44.4, 42.2, 41.3, 47.2, 42.8, 36.3, 59.6, 47.7, 50.3, 36.4, 55.4, 41.1, 34.3

Adult\'s cereal: 24, 29, 1.7, 6.1, 1.9, 22, 19.7, 12.2, 21, 7.5, 8.8, 14.1, 18, 11.8, 2.8, 19.7, 1.4, 2.7, 2, 5.6, 14.8, 0.3, 2.7, 3.4, 7.5, 2.1, 15.1, 5.8, 15.1, 10.5

The confidence interval is ( , )

Interpret the confidence interval. Select the correct choice below and fill in the answer boxes to complete your choice.

a. 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.

b. 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.

Solution

Confidence interval:
  The mean of Group One minus Group Two equals 35.990
  95% confidence interval of this difference: From 31.448 to 40.532

P value and statistical significance:
  The two-tailed P value is less than 0.0001
  By conventional criteria, this difference is considered to be extremely statistically significant.

a. 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.