Question

The data below shows the sugar content in grams of several brands of​children'sand​adults'cereals. Create and interpret a​95%confidence interval for the difference in the mean sugar​content,

mu Subscript Upper C Baseline minus mu Subscript Upper A

.

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:

44.4 comma

58.5 comma

45.5 comma

43.4 comma

51.4 comma

47.9 comma

54.3 comma

42.6 comma

41.4 comma

43.2 comma

47 comma

40.2 comma

35.2 comma

57.7 comma

45.7 comma

53.9 comma

37.5 comma

58.9 comma

40.3 comma

32.1

​Adults' cereal:

22.8 comma

28.6 comma

0.9 comma

8.6 comma

1.2 comma

24.2 comma

15.5 comma

12.6 comma

24.9 comma

8.6 comma

7.2 comma

14.1 comma

16.6 comma

14 comma

4.3 comma

17.2 comma

3.2 comma

3.5 comma

2.9 comma

8.6 comma

10.1 comma

0.3 comma

1.3 comma

4.7 comma

9.4 comma

3.1 comma

19.1 comma

5.9 comma

15.9 comma

11.4

The confidence interval is left parenthesis nothing comma nothing right parenthesis .

​(Roundto two decimal places as​needed.)

Answer 1