Do not use your calculator for this one. Write out the formulas and show your work. Round your answers to 3 decimal places. (You'll be able to use your calculator on the problems after this one.) (4 points) You're given a sample with n=8 measurements: 3, 1, 5, 6, 4, 4, 3, 5. A. Calculate the range (maximum value - minimum value). B. Calculate the sample mean. C. Calculate the sample variance and sample standard deviation. D. The range is approximately how many sample standard deviations? 1 , 3 , 3 , 4 , 4 , 5, 5, 6 A. ) range ( 6 - 1 ) = 5 B. ) 1+ 3+3+4+ 4+5+ 5+6 = 31 8 = 3.875 X = 3.875 8 C. ) V (1 - 3.875) ? + (3- 3.875)2+ (3-3.875) 2+(4-3.875)?+(4-3.875) 7 (5- 3.875)+(5-3.875)? V ( 6- 3.875) 2 8-1 So = 2. 411 V2. 411 = 1.553 S = 1.553 D. ) 5 The range is approximately Oexemptarab 1.553 3. 220 am 3.220 sample standard deviations