Problem $10-27($Algo$)$

The Healthy Chocolate Company makes a variety of chocolate candies, including a $12-$ounce chocolate bar $(340$ grams$)$ and a box of six $1-$ounce chocolate bars $(170$ grams$).$

a$.$Specifications for the $12-$ounce bar are $326$ grams to $354$ grams. What is the largest standard deviation $($in grams$)$ that the machine that fills the bar molds can have and still be considered capable if the average fill is $340$ grams? $($Round your intermediate calculations to $2$ decimal places and final answer to $3$ decimal places.$)$

Standard deviation

grams

b$.$ The machine that filles the bar molds for the $6-$ounce bars has a standard deviation of $86$ grams. The filling machine is set to deliver an average of $1\mathrm{.}03$ ounces per bar. Specifications for the six$-$bar box are $153$ to $187$ grams per box. Is the process capable? Hint: The variance for the box is equal to six times the bar variance. Convert all calculations into grams.

$$ Yes

No