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 2. Pairs of Yeezy sneakers are supposed to weigh exactly 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: 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. Day Package 1 Package 2 Package 3 Package 4 Moaday 23 22 23 24 Tuesday 23 21 19 21 Wedaesday 20 19 20 21 Thursday 18 19 20 19 Friday 18 20 22 20 Sample Mean Range 120 (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? 90 80 1.10 1.00 130 10 Answer: 95 1.20 10 1.45

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please help answer part a and b for question 1. Please answer question 2 as well.

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 2. Pairs of Yeezy sneakers are supposed to weigh exactly
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:
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.
Day
Package 1
Package 2
Package 3
Package 4
Moaday
23
22
23
24
Tuesday
23
21
19
21
Wedaesday
20
19
20
21
Thursday
18
19
20
19
Friday
18
20
22
20
Sample
Mean
Range
120
(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?
90
80
1.10
1.00
130
10
Answer:
95
1.20
10
1.45
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 2. Pairs of Yeezy sneakers are supposed to weigh exactly 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: 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. Day Package 1 Package 2 Package 3 Package 4 Moaday 23 22 23 24 Tuesday 23 21 19 21 Wedaesday 20 19 20 21 Thursday 18 19 20 19 Friday 18 20 22 20 Sample Mean Range 120 (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? 90 80 1.10 1.00 130 10 Answer: 95 1.20 10 1.45
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