Solve the problem. Round to the nearest tenth unless indicated otherwise. The weights of certain machine components are normally distributed with a mean of 8.5 g and a standard deviation of 0.09 g. Find the two weights that separate the top 3% and the bottom 3%. These weights could serve as limits used to identify which components should be rejected. Round to the nearest hundredth of a gram.

a. 8.48 g and 8.52 g
b. 8.30 g and 8.74 g
c. 8.33 g and 8.67 g****
d. 8.46 g and 8.54 g

1 answer

8.33 and 8.67