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The data below shows the sugar content in grams of several brands of​ children's and​ adults'...

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Question

Statistics

The data below shows the sugar content in grams of severalbrands of​ children's and​ 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 UpperAμC−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:

40.6 comma40.6,

58.3 comma58.3,

47 comma47,

42.6 comma42.6,

52.2 comma52.2,

47 comma47,

53.3 comma53.3,

41.7 comma41.7,

44.9 comma44.9,

43 comma43,

47.9 comma47.9,

40.2 comma40.2,

35.6 comma35.6,

56.4 comma56.4,

48.5 comma48.5,

54.3 comma54.3,

36.9 comma36.9,

56.4 comma56.4,

44.7 comma44.7,

34.834.8
​Adults' cereal:

21.8 comma21.8,

26.1 comma26.1,

1.8 comma1.8,

7.4 comma7.4,

3.1 comma3.1,

24.3 comma24.3,

16.6 comma16.6,

12.3 comma12.3,

24.8 comma24.8,

9.3 comma9.3,

6.9 comma6.9,

10.6 comma10.6,

15.9 comma15.9,

11.5 comma11.5,

1.8 comma1.8,

18.8 comma18.8,

1.6 comma1.6,

2.3 comma2.3,

2.6 comma2.6,

9.3 comma9.3,

11.1 comma11.1,

1.7 comma1.7,

2.9 comma2.9,

3.6 comma3.6,

6.8 comma6.8,

2.7 comma2.7,

17.1 comma17.1,

7.9 comma7.9,

17.5 comma17.5,

13.9

Answer & Explanation Solved by verified expert
4.4 Ratings (866 Votes)
The 95 confidence interval for the difference in the mean sugar contentCA is between 320585 and 406292 We are 95 confident that the true mean    See Answer
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