Question

1. Your company manufactures souvenir tokens for national parks. The average diameter of tokens is 3 inches with an upper specification limit of 3.2 inches and lower specification limit of 1.95 inches. The C_p of the process is 1.1.
   1. Find the standard deviation of the process
   2. Find the C_pk of the process (10 points)

2. The table below shows the prices for 20 calculators.

$15	$20	$20	$15	$25	$30	$15	$15	$15	$20
$25	$25	$15	$25	$30	$25	$10	$10	$10	$15

1. Find the mean price of the calculators.
2. Find the mode the prices in the table.
3. Draw a histogram from the table above. (10 points)

You can use excel or rulers. Please don’t sketch with free hands.

Answer 1

Solution AX Given -ag ati average diameter of the to lrens Uppess Specification Iimit 8.2inches Lower 8pecifiation limit 3 inches 1:1 MeTe by tormula -LSL 6 2 3.2-1.9S 1.1 25 1-25 9-9 O1894 L1

Page No. Date etandand deviation of the process is O.1894 of the pracess is LSL CrK min USL-D 3 2 LtA 32 min Us L-H u-LSL 3 2 32 3.2-3 3 x0.1894 min (0.35 (9,1-8479 Min 3-1.95 3 x0.1894 O-8619 Mean price f calculators is mode of the price. ig AS We drauo fre quency table Rrice of Caleulators Ereauency 03 S-10 10-15 1.5-20 20-25 25-80

Hstagramt 1P 5 10 15 20 25 30 Price (in Frequericies