Consider a production process that produces batteries.A quality engineer has taken 20 samples each containing 100 batteries.The total number of defective batteries observed over the 20 samples is 200.The sample standard deviation is
A)0.03
B)0.04
C)0.05
D)0.10

Question

Quizplus · Accepted Answer

The sample standard deviation is the square root of the sample variance. The sample variance is the sum of the squared deviations from the mean divided by the number of observations minus one. In this case, the mean is 200/20 = 10. The sum of the squared deviations from the mean is 200 - 10^2 = 1000. The number of observations minus one is 20 - 1 = 19. Therefore, the sample variance is 1000/19 = 52.63. The sample standard deviation is the square root of 52.63, which is 0.03.

Consider a Production Process That Produces Batteries