The data below shows the sugar content in grams of several brands of children\'s

Question

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, mu_c - mu_A. Be sure to check the necessary assumptions and conditions. Children's cereal: 41.6, 58.6, 47.2, 42.5, 50.5, 47.3, 51.1, 43.1, 42.1, 40.1, 49, 41.1, 39.2, 58.6, 45.4, 54.9, 36.1, 56.6, 41.5, 32.4 Adults' cereal: 23.1, 27.6, 2.6, 7.7, 1.9, 22.1, 16.1, 12.8, 21.4, 6.1, 5.6, 13.8, 15.7, 11.8, 1.3, 19.4, 4.8, 0.6, 3.6, 9.6, 12.4, 1.4, 3.2, 4.5, 6.1, 1.2, 19.5, 5.8, 15.6, 10.2 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.) 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.

Explanation / Answer

The statistical software output for this problem is:

Two sample T confidence interval:
1 : Mean of Children's Cereal
2 : Mean of Adult's Cereal
1 - 2 : Difference between two means
(without pooled variances)

95% confidence interval results:

Hence,

95% confidence interval will be:

(31.32, 40.07)

Option A; 31.32; 40.07

Difference Sample Diff. Std. Err. DF L. Limit U. Limit 1 - 2 35.695 2.1658651 42.120524 31.324478 40.065522

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