The lower and upper specifications for a software upgrade are $77$ minutes and $81$ minutes. Estimate the percentage of process output that can be expected to fall within the specifications.

Note: Round your answer to $1$ decimal place.

SAMPLE$12345679\mathrm{.}281\mathrm{.}979\mathrm{.}678\mathrm{.}982\mathrm{.}179\mathrm{.}782\mathrm{.}678\mathrm{.}779\mathrm{.}680\mathrm{.}279\mathrm{.}680\mathrm{.}680\mathrm{.}081\mathrm{.}079\mathrm{.}879\mathrm{.}780\mathrm{.}478\mathrm{.}578\mathrm{.}480\mathrm{.}480\mathrm{.}379\mathrm{.}479\mathrm{.}780\mathrm{.}081\mathrm{.}080\mathrm{.}180\mathrm{.}880\mathrm{.}678\mathrm{.}881\mathrm{.}1$

Specifications for the $12-$ounce bar are $325$ grams to $355$ 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?

Note: Round your intermediate calculations to $2$ decimal places and final answer to $3$ decimal places.

The machine that filles the bar molds for the $6-$ounce bars has a standard deviation of $\mathrm{.}87$ grams. The filling machine is set to deliver an average of $1\mathrm{.}02$ ounces per bar. Specifications for the six$-$bar box are $152$ to $188$ 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.

multiple choice $2$

YesNot attemptedCorrect

NoNot attempted

What is the lowest setting in ounces for the filling machine that will provide capability in terms of the six$-$bar box?$$Hint: Use grams to solve, then convert to ounces.

Note: Round your intermediate calculations to $2$ decimal places and final answer to $3$ decimal places.