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? 56 43 56 45 0 30 44 47 38 53 35 42 0 0 The range of the sample data is (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 (Round to one decimal place as needed.) Are the statistics representative of the population of all cans of the same 14 brands consumed? O 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.

Answer 1

solution: The range of the sample data as Targest data value smallest data value 56-O S6 56.0 ². Range of the sample data is

Standard deviation of the sample data is Ex:2 - (2x)

х а- S6 2) с 43 1899 3) 36 чS 202 5 30 Зоо чу (936 Ч7 2209 38 1449 53 2809 35 12S ч 1769 ор

Σκ: = 489 2332) (Σα)' Σα- Ο = 14 2 24 33

22433 23912 14 22433-17080.07.14 14-1 13 5352.9285 13 S 411.76 37 S 20.292 standard deviation of sample data 20.3 Varance of ample data: 8² Ex? (E22 n-1 s = 41.76 37 Variance of sample data = 411.8 Answers The range of the sample data 15 : 56.0 ma per 12 oz of drink The standard deviation of the sample data is 20.3mper 12 oz of drink The variance of the sample data is 411.8 (ing per 12 oz of drink)

Are the statistics representative of the population of all cans of the same 14 brands consumed } Answer: option A The statistics are not necessarily representative of the population of all cans of these brands that consumed because each brand 15 Weighted equally in the calculations. It as unlikely that each of the 14 brands of soda are consumed equally ame