A random sample of 100 ball bearings selected from a shipment of 2000 ball bearing has an average diameter of 0.354 inches with standard deviation 0.048 inches. The 95% confidence interval for the average diameter of these 2000 ball bearings is:

A

$$0.3544 \pm 1.96 \times 0.048$$

B

$$0.354 \pm 1.96 \times 0.0047$$

C

$$0.3544 \pm 0.048$$

D

$$0.048 \pm 1.96 \times 0.354$$