Chapter 1. Tutorial 27.3: Statistical Process Control – Xbar Charts – Part 2

1.1 Problem Statement

{10,12,14,16,18,20}
rand(0,5)
@dose[$doseindex]
{5,7,6,9,8,10}
@monitor[$doseindex]
{4.47,4.54,5.72,5.33,6.36,6.32}
@sdm[$doseindex]
{113.41,113.62,117.16,115.99,119.08,118.96}
@upperlimit[$doseindex]
{86.59,86.38,82.84,84.01,80.92,81.04}
@lowerlimit[$doseindex]
{113.41,113.62,117.16,115.99,119.08}
@processa1[$doseindex]
{86.59,86.38,82.84,84.01,80.92}
@processa2[$doseindex]
{80,76,72,68,64,60}
@process3a[$doseindex]
{120,124,128,132,136,140}
@process3b[$doseindex]

Consider a process that manufactures pills. It is important that the doses within each pill be consistent and not vary too much.

Suppose that the process is in control and produces pills with a mean dose of 100 mg and a standard deviation of $dose mg. Government specification say that about 95% of the pills should have between 90 and 110 mg of active ingredients. During the manufacturing process, a technician takes a sample of $monitor pills every shift and measures the color rendition.

1.2 Step 1

questions

Count the number of heads in 5 flips of a fair coin.

Question 1.1

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Correct.
Incorrect.

Question 1.2

M/pWJSb9xc83AeeVGBkgmjTfD+o5HQcahuZ28j6p/deGYRDhQVBirbcK0RjKbAFA855zhJustBEAr1xlpo3cHBO29ge3VTTq
Correct.
Incorrect.

Question 1.3

+JTDBFxn16CR++9GaRm8YlPHQh9Mh2KAJWbClYDwhvopVgrP0gYfGAClWELtg1uRQNJIGIXW9+K9g2Wm6rn/zJiVXmxI8xGw3YVazWtF493g/eTkn0SJ1qyuhV4Km35wWcht3e2+0C8I4txvj5qVksJhW8U=
Correct.
Incorrect.

1.3 Step 2

Question 1.4

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Correct.
Incorrect.

Question 1.5

PE0wvv7oCA/NZDjh9J4cP7yKW7kH3YN5Op4dpTXTCmvoBbVE1PeGvesDb2kvDwPcgCDq3aLP3RS81qRMgPoNMMMmqglyB9oIdRP0/XACr2tUHj3x3KnvUZXm63xLyMqszw7K+poLYxkwWxMIGArSGtA8RqiQr9jc
Correct.
Incorrect.

Question 1.6

F3Nop7gRMUottTWPRioLjM20ATS3gv7J3EcVi9BRVuY4EMeEJ2FIbl5N1wz9JHmllH6e8rHApG7c+BiKLUOb4IsKijFVylh0haLhvnuY2rGLv2P8I/mykEuycjkRetvGZDJ1hrWV5klPYN2Ed84W0YjBrvDx+MbYkkl24mCLdyeUZAwqGWk0XGpPRMoz+td2GltpGximDduErXNf8i3O1WVl4ug/zeQ7eTZXLR2CXOYOW93YI07kn4mrY7oqEwg7yQLbIk603lnVtl0zvR578NK4qvMavxA+jqN3RxTjkOoBT3M/L+d4axa8Bco7lkgBzEtUMsejZna/1KnOdBfTDUjIo8haVQTWMJEUAPk/BvNpjlJBhJGy0ZMmYXLKJSe/ZEwkl6c80GOgy5ELowLzBaDg76zJ9EKkU9rurw==
Correct.
Incorrect.

1.4 Step 3

Question 1.7

If the process is in control, the actual dosage will vary between about (enter your answers in ascending order) nC3fmDjRk23N1lXu+IZCow== and sZM3tndJA0wREMsmTG26ug==.

Correct.
Incorrect.

Question 1.8

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Correct.
Incorrect.