The manager of a cold beverage plant is redesigning the assembly line of filling bottles labeled as 1000 ml. According to the government regulations, not more than 0.4% of the bottles should contain less amount of beverage than what is displayed on the label. For cost reasons, the manager wants to maintain the average amount of beverage filled at 1010 ml. Assume that the volume of beverage in the bottles is normally distributed. What standard deviation should the manager approximately target so that the plant meets the regulatory requirement?

a.

1.99

b.

3.77

c.

-1.99

d.

-3.77