A food company is concemed about recent criticism of the sugar content of their

Question

A food company is concemed about recent criticism of the sugar content of their children's cereals. The company would like to know if there is a difference between the sugar content of children's cereals and adults' cereals. The data show the sugar content (as a percentage of weight) of several national brands of children's and adults' cereals. Complete parts a through d Full data set Children's cereal: 40.3, 55.8, 49.4, 42.7, 51.1, 48.5, 54.6, 44.7, 40.2, 40.8, 48.8, 43.3, 37.4 57.7, 46.8, 54.7, 35.9, 59.4, 41.3, 34.4 Adults' cereal: 23.8, 26, 4.9,7, 4.3, 24.9, 19.6, 13, 20.8, 5.6,7.7, 14.6, 16.6,11.8, 0.2, 19.8, 1.6 4.5, 2.1, 6.3, 10.1, 1.5, 4, 1.2, 8.7, 0.4, 17.9, 6.9, 16.2, 10.7 a) Write the null and alternative hypotheses Let group C correspond to children's cereals and group A correspond to adults' cereals. Choose the correct answer below. b) Check the conditions. Which of the following conditions are satisfied for the given data? Select all that apply Independent groups assumption Randomization condition Nearly normal condition c) Find the 95% confidence interval for the positive difference in means The 95% confidence interval is ( grams (Round to two decimal places as needed.) grams)

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:

(31.52 grams, 40.41 grams)

Difference Sample Diff. Std. Err. DF L. Limit U. Limit 1 - 2 35.966667 2.2025534 42.408406 31.523002 40.410332

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