Question

The following are the weight in pounds of the samples of the content of cans of regular coke and diet coke:

Regular: 0.8192; 0.8150; 0.8163; 0.8211;   0.8181; 0.824

Diet: 0.7773; 0.7758; 0.7896; 0.7868 0.7844 0.7861

1. Calculate the mean an the median
2. Calculate standard deviation
3. Create intervals
4. Interpret the result comparing the samples
5. Calculate the coeffcient of variation

Answer 1

For Regular:

	Regular
count	6
mean	0.818950
sample standard deviation	0.003272
median	0.818650
coefficient of variation (CV)	0.40%
confidence interval 95.% lower	0.815516
confidence interval 95.% upper	0.822384
margin of error	0.003434
t(df = 5)	2.571

For Diet:

	Diet
count	6
mean	0.783333
sample standard deviation	0.005536
median	0.785250
coefficient of variation (CV)	0.71%
confidence interval 95.% lower	0.777524
confidence interval 95.% upper	0.789143
margin of error	0.005810
t(df = 5)	2.571

Therefore, the 95% confidence interval is wider for Diet.

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