Listed below are measured amounts of caffeine (mg per 12oz of drink) obtained in
ID: 3070764 • Letter: L
Question
Listed below are measured amounts of caffeine (mg per 12oz of drink) obtained in one can from each of 14 brands. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. Are the statistics representative of the population of all cans of the same 14 brands consumed?
5656
3939
4343
5555
00
6060
4646
5050
3535
5656
3838
5555
00
00
-The range of the sample data is
6060 mg per 12 oz of drink.mg per 12oz of drink.
(Round to one decimal place as needed.)
-The standard deviation of the sample data is?
(Round to one decimal place as needed.)
-The variance of the sample data is?
Are the statistics representative of the population of all cans of the same 14 brands consumed?
A.The statistics are not necessarily representative of the population of all cans of these brands that are consumed because each brand is weighted equally in the calculations. It is unlikely that each of the 14 brands of soda are consumed equally.
B.The statistics are likely representative of the population of all cans of these brands that are consumed because each brand is being represented in the sample.
C.The statistics are likely representative of the population of all cans of these brands that are consumed because the results from any sample of the 14 brands will be typical of the population.
D.The statistics are not necessarily representative of the population of all cans of these brands that are consumed because it is necessary to have at least 5 of each brand in order to get a sample that is representative of the population.
5656
3939
4343
5555
00
6060
4646
5050
3535
5656
3838
5555
00
00
Explanation / Answer
The statistical software output for this problem is:
Summary statistics:
Hence,
Range = 60
Standard deviation = 17.5
Variance = 305.3
The statistics are not necessarily representative of the population of all cans of these brands that are consumed because each brand is weighted equally in the calculations. It is unlikely that each of the 14 brands of soda are consumed equally. Option A is correct.
Column Range Variance Std. dev. Data 60 305.33333 17.47379Related Questions
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