Homework: Section 20.1 Homework Score: 0.5 of 1 pt 8of10(10complete) Score: 90%,

Question

Homework: Section 20.1 Homework Score: 0.5 of 1 pt 8of10(10complete) Score: 90%, 9 of 10 pts 20.1.65-T Help The data below shows the sugar content in gama of several brands o children's and adults' cereals. Create and interpret a 95% confidence interval for the difference in the mear sugar content, K.-A Be sure to check the necessary assumptions and conditions. (Note: Do not assume that the variances o the two data sets are equal.) Ful data set Children's ceroal: 41.1, 57.5, 46.3,40.8, 53, 47.9, 50.7, 43.1, 43.4, 42.7,49.4, 43.7, 35.6, 56.2, 48.6, 50.6, 39.1, 57.7,42.9, 32 Adults' cereal: 23.2, 29.2,3.5, 6.4,0.9, 24.4, 17.5, 11.6, 23.5, 6, 9.2, 14.5, 16, 11.5, 4.5, 172, 4, 4, 0.2, 8.6, 12.5, 3.8,4.1, 0.8, 6.4, 0.4, 17.3, 9, 17.6, 14.6 The confidence interval is Round to two decimal places as needed.) Enter your answer in the edit fields and then click Check Answer part Clear All OK

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:

(31.06, 39.67)

Difference Sample Diff. Std. Err. DF L. Limit U. Limit 1 - 2 35.368333 2.1371685 44.337776 31.06208 39.674587

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