A chocolate manufacturer makes a variety of chocolate products including large chocolate bars (340 grams) and boxes of six smaller chocolate bars (170 grams in total). The machine that fills the bar moulds for the smaller bars has a standard deviation of 0.8 grams. What should the lowest setting for the average weight per bar be for the process of the 6-bar box to be capable?

Specification for the 6-bar box is 160 to 180 grams.

(Hint: The variance of the box's weight is equal tosix times the variance of each smaller bar's weight.)

Select one:

a.

25.5 grams

b.

29.5 grams

c.

31 grams

d.

27.7 grams