1. A quality analyst wants to construct a sample mean and range charts for controlling a packaging process. He knows from past experience that when the process is op- erating as intended, packaging weight is normally distributed with a mean of twenty ounces, and a process standard devia- tion of two ounces. Each day last week, he randomly selected four packages and weighed each. The data he collected ap- pear below in ounces. (b) With a value of z that would provide 99.73% confidence, construct an Xbar and R charts for this process. what do you conclude about the process- is it in control? Answer: 2. Pairs of Yeezy sneakers are supposed to weigh exactly Ikg. Inspectors want to develop process control charts. They take ten samples of six pairs each and weigh them. Based on the following data (in kg), compute the lower and upper control limits and determine whether the process is in control. Note that the overall standard deviation of the population is un- known. Parkage Pekag Parkag Pakag 24 21 Day Mday 23 Turday 23 21 Wednde 20 19 20 21 Therday 19 20 Frter 20 Sample (a) If he sets an upper control limit of 21 and a lower control limit of 19 around the target value of 20 ounces, the control chart is based on what value of z? 100 Answer: 120

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PLease help answer parts a and b of q1 as well as q2

1. A quality analyst wants to construct a sample mean and
range charts for controlling a packaging process.
He knows from past experience that when the process is op-
erating as intended, packaging weight is normally distributed
with a mean of twenty ounces, and a process standard devia-
tion of two ounces. Each day last week, he randomly selected
four packages and weighed each. The data he collected ap-
pear below in ounces.
(b) With a value of z that would provide 99.73% confidence,
construct an Xbar and R charts for this process. what do you
conclude about the process- is it in control?
Answer:
2. Pairs of Yeezy sneakers are supposed to weigh exactly
Ikg. Inspectors want to develop
process control charts. They take ten samples of six pairs
each and weigh them. Based on the
following data (in kg), compute the lower and upper control
limits and determine whether the process is in control. Note
that the overall standard deviation of the population is un-
known.
Parkage
Pekag
Parkag
Pakag
24
21
Day
Mday
23
Turday
23
21
Wednde
20
19
20
21
Therday
19
20
Frter
20
Sample
(a) If he sets an upper control limit of 21 and a lower control
limit of 19 around the target value of 20 ounces, the control
chart is based on what value of z?
100
Answer:
120
Transcribed Image Text:1. A quality analyst wants to construct a sample mean and range charts for controlling a packaging process. He knows from past experience that when the process is op- erating as intended, packaging weight is normally distributed with a mean of twenty ounces, and a process standard devia- tion of two ounces. Each day last week, he randomly selected four packages and weighed each. The data he collected ap- pear below in ounces. (b) With a value of z that would provide 99.73% confidence, construct an Xbar and R charts for this process. what do you conclude about the process- is it in control? Answer: 2. Pairs of Yeezy sneakers are supposed to weigh exactly Ikg. Inspectors want to develop process control charts. They take ten samples of six pairs each and weigh them. Based on the following data (in kg), compute the lower and upper control limits and determine whether the process is in control. Note that the overall standard deviation of the population is un- known. Parkage Pekag Parkag Pakag 24 21 Day Mday 23 Turday 23 21 Wednde 20 19 20 21 Therday 19 20 Frter 20 Sample (a) If he sets an upper control limit of 21 and a lower control limit of 19 around the target value of 20 ounces, the control chart is based on what value of z? 100 Answer: 120
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