Write down your large integer and your small integer from the

Week $1$: Select Individualized Numbers assignment.

Use your large integer as the mean of the mass of each

cupcake emerging from the machine.

Use your small integer as the standard deviation of the mass of

each cupcake.

$=$ mean $=$ your large integer $=\_\_\_\_\_\_\_\_67\_\_\_\_\_\_\_\_$

$=$ std$.$ dev $=$ small integer $=\_\_\_\_\_3\_\_\_\_\_\_\_\_\_\_\_$

$2$ Label the normal curve below using the mean and standard

deviation for your cupcake masses. $($label the normal curve below$)$

$3$ Calculate the mass of a cupcake that would be two standard

deviations below the mean. Also calculate the mass of a

cupcake that would be two standard deviations above the

mean.

$-2=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

$+2=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

$4$ Calculate the percentage of cupcakes with a mass within two

standard deviations of the mean. p $=$ percentage between $-2$ and $+2=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

$5$ Convert the percentage to a fraction $($out of $1)$ by dividing by

$100.$ f $=$ fraction $=$ p$/100=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

$6$ The actual number of cupcakes produced by the machine one

day is N$=100,000.$ Estimate how many cupcake will have a

mass in the acceptable region within two standard deviations

of the mean.

How many $=$ N$*$f $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$