Colorado State University Confidence Intervals in Nonparametric Regression Paper

I dont know how to handle this Statistics question and need guidance.

Read Example 1 and explain what your take away is. Add any information you can. Your document should be around 150-200 words.

Example 1:

We want to determine if a 12oz can of soda falls within the confidence interval of a data set. First, we would weigh out 50 cans of soda and enter them individually to get 50 observations for the data set. (I used a random number generator for this test.) Next we calculate the mean and the standard deviation for the data set. In this example the mean is 12.24 with a standard deviation of .86. Now we can calculate the confidence interval. For an 80% confidence interval I received an upper interval (UI) of 12.39 and a lower interval (LI) of 12.08. At 95%, the UI was 12.48 and the LI was 11.99. At 99%, the UI was 12.56 and the LI was 11.91. These results determine that the true weight of a can of soda does not lie within the confidence interval of 80% but will be found at 95% and 99% because the range of the results are wider.

80%		95%		99%

Mean	12.24	Mean	12.24	Mean	12.24
Standard Error	0.12	Standard Error	0.12	Standard Error	0.12
Median	12.25	Median	12.25	Median	12.25
Mode	12.90	Mode	12.90	Mode	12.90
Standard Deviation	0.86	Standard Deviation	0.86	Standard Deviation	0.86
Sample Variance	0.73	Sample Variance	0.73	Sample Variance	0.73
Kurtosis	-1.04	Kurtosis	-1.04	Kurtosis	-1.04
Skewness	-0.31	Skewness	-0.31	Skewness	-0.31
Range	3.00	Range	3.00	Range	3.00
Minimum	10.50	Minimum	10.50	Minimum	10.50
Maximum	13.50	Maximum	13.50	Maximum	13.50
Sum	611.80	Sum	611.80	Sum	611.80
Count	50.00	Count	50.00	Count	50.00
Confidence Level(80.0%)	0.16	Confidence Level(95.0%)	0.24	Confidence Level(99.0%)	0.32

Upper CI	12.39	Upper CI	12.48	Upper CI	12.56
Lower CI	12.08	Lower CI	11.99	Lower CI	11.91

Stephanie, B. (2020, January 30) Simple Definition. Statistics How To. https://www.statisticshowto.com/empirical-rule-2

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