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,​ adult's cereals average between the lower boundary of nothing and upper boundary of nothing more grams of sugar content than​ children's cereals.   B. Based on these​ samples, with​ 95% confidence,​ children's cereals average between the lower boundary of nothing and upper boundary of nothing more grams of sugar content than​ adult's cereals.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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,
μC−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:
42.1,
57.7,
49.8,
44.6,
52.4,
47.6,
51.3,
44.6,
42.7,
44.7,
48.4,
43.8,
37.8,
59,
46.4,
53.2,
35.6,
56.7,
43.9,
32.9
 
​Adults' cereal:
24.7,
27.8,
1.5,
7.2,
3.5,
24.9,
16.8,
14.7,
22.9,
8.1,
6.2,
12.4,
18.6,
14.4,
2.8,
15.4,
0.3,
0.9,
1.9,
8.3,
13.7,
0.3,
1,
0.9,
9,
3,
16.9,
8.1,
16.2,
12.4
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,​ adult's cereals average between the lower boundary of
nothing
and upper boundary of
nothing
more grams of sugar content than​ children's cereals.
 
B.
Based on these​ samples, with​ 95% confidence,​ children's cereals average between the lower boundary of
nothing
and upper boundary of
nothing
more grams of sugar content than​ adult's cereals.
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