Assignment $5$

Question $1.$

Food served at a restaurant should be between $39\backslash$deg C and $49\backslash$deg C when it is delivered to the

customer. The process used to keep the food at the correct temperature has a process standard

deviation of $2\backslash$deg C and the mean value for these temperature is $40.$ What is the process capability

of the process? Calculate the Cp and Cpk and discuss whether the process is capable.

Question $2.$

Suppose a water bottle is supposed to weigh greater than $12$oz but less than $17$oz$.$ The past

record shows that the mean weight of the water bottle has been $13$oz with a standard deviation of

$1\mathrm{.}5$oz$.$ Calculate the Cp and Cpk and discuss whether the process is capable.

Question $3.$ Data being used in the initial set$-$up of a process are assumed to have a normal

distribution. If the nominal $($target$)$ is set at the center of the distribution, and the specification

limits are set at $\backslash$pm $3$s from the center, then the Cpk is equal to:

$($A$)0\mathrm{.}25$

$($B$)1\mathrm{.}00$

$($C$)1\mathrm{.}33$

$($D$)1\mathrm{.}67$

Question $4.$ When calculating the Cp index, what does the standard deviation represent in the

formula $?$

$($A$)$ The tolerance interval

$($B$)$ The confidence interval for the result

$($C$)$ The range of the process

$($D$)$ The variance of the index