A Quality Control Engineer Intends to Use the Mean of a Random

Multiple Choice

A quality control engineer intends to use the mean of a random sample of $n=85$ to estimate the average time it takes to manufacture an item. If, based on experience, the engineer can assume that $\sigma=4.8$ hours for such data, what can he assert with probability 0.99 about the maximum error of the estimate?

A) $E \approx 1.34$ hours
B) $E \approx 0.13$ hours
C) $E \approx 0.15$ hours
D) $E \approx 1.21$ hours