To assess the accuracy of a laboratory scale,a standard weight that is known to weigh exactly 1 gram is repeatedly weighed a total of n times and the mean is computed.Suppose the scale readings are Normally distributed with an unknown mean of$\mu$ and a standard deviation of $\sigma$= 0.01 grams.How large should n be so that a 95% confidence interval for $\mu$has a margin of error no larger than ± 0.0001?
A)n = 100
B)n = 196
C)n = 10000
D)n = 38416

Question

To assess the accuracy of a laboratory scale,a standard weight that is known to weigh exactly 1 gram is repeatedly weighed a total of n times and the mean  is computed.Suppose the scale readings are Normally distributed with an unknown mean of$\mu$ and a standard deviation of $\sigma$= 0.01 grams.How large should n be so that a 95% confidence interval for $\mu$has a margin of error no larger than ± 0.0001?
A)n = 100 
B)n = 196 
C)n = 10000 
D)n = 38416

Quizplus · Accepted Answer

The Answer is D

To Assess the Accuracy of a Laboratory Scale,a Standard Weight μ\muμ

To Assess the Accuracy of a Laboratory Scale,a Standard Weight $\mu$