Please answer all questions correctly and complete all questions. Thank you MATH
ID: 3269586 • Letter: P
Question
Please answer all questions correctly and complete all questions. Thank you MATH 115-A02 Summer 2017 Homework: Customized Review for Quiz 8 Score: 0 of 1 pt 12.3.33 14 of 15 (11 complete) Subtract 10 from each item in the given sample, and compute the mean and standard deviation of the new sample. 16, 44, 34, 46, 37, 21, 45 The mean of the new sample is 24.71 Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed.) The standard deviation of the new sample is Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed.)
Explanation / Answer
1) By subtracting 10 from each number the new sample Will be 6,34,24,36,27,11,35
Mean = (6+ 34 + 24 + 36 + 27 + 11 + 35) / 7 = 24.71
Variance = ((6 - 24.43)2 + (34 - 24.43)2 + (24 - 24.43)2 + (36 - 24.43)2 + (27 - 24.43)2 + (11 - 24.43)2 + (35 - 24.43)2) / 7 = 123.35
Standard deviation = sqrt(variance) = sqrt(123.35) = 11.11
2) a) sample mean of brand A = (73 + 76 + 65 + 72 + 74) / 5 = 70
Sample variance of A = ((73 - 70)2 + (76 - 70)2 + (65 - 70)2 + (72 - 70)2 + (74 - 70)2) / 4 = 32.5
Sample standard deviation of A = sqrt(variance) = sqrt(32.5)
= 5.70
b) Sample mean of brand B = (63 + 68 + 60 + 62 + 62) / 5 = 63
Sample variance of B = ((63 - 63)2 + (68 - 63)2 + (60 - 63)2 + (62 - 63)2 + (62 - 63)2) / 4 = 9
Sample standard deviation of B = sqrt(9) = 3
C) Brand A battery will lasts longer.