Question

In: Statistics and Probability

Many people feel that cereal is healthier alternative for children over glazed donuts. Table #8.3.5 contains...

Many people feel that cereal is healthier alternative for children over glazed donuts. Table #8.3.5 contains the amount of sugar in a sample of cereal that isgeared towards children ("Healthy breakfast story," 2013) Estimate the mean amount of sugar in children cereal using a 95% confidence level.

Table #8.3.5: Sugar Amounts(g) in Children’s Cereal

10

14

12

9

13

11

12

15

9

10

11

3

6

12

15

12

Expert Solution

Confidence level estimate of the population mean :

n : sample size :19

x : amount of sugar in a sample of cereal

Sample mean :

Sample standard deviation :

S.No.	x: Sugar Amounts(g) in Children’s Cereal	x-	(x-)²
1	10	-1.1579	1.3407
2	14	2.8421	8.0776
3	12	0.8421	0.7091
4	9	-2.1579	4.6565
5	13	1.8421	3.3934
6	13	1.8421	3.3934
7	13	1.8421	3.3934
8	11	-0.1579	0.0249
9	12	0.8421	0.7091
10	15	3.8421	14.7618
11	9	-2.1579	4.6565
12	10	-1.1579	1.3407
13	11	-0.1579	0.0249
14	3	-8.1579	66.5512
15	6	-5.1579	26.6039
16	12	0.8421	0.7091
17	15	3.8421	14.7618
18	12	0.8421	0.7091
19	12	0.8421	0.7091
Total	212		156.5263
Mean: 212/19=	11.1579

Sample Size : n	19
Degrees of freedom : n-1	18
Confidence Level :	95
= (100-95)/100	0.05
/2	0.025
	2.1009

95% confidence level Estimate of the mean amount of sugar in children cereal

95% confidence level Estimate of the mean amount of sugar in children cereal = (9.7366, 12.5792)

orchestra answered 2 years ago

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