PROBLEM A: Use the following to answer questions i - iii A quality analyst wants to construct a sample mean chart for co

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PROBLEM A: Use the following to answer questions i - iiiA quality analyst wants to construct a sample mean chart forcontrolling a packaging process. Each day last week, he randomlyselected four packages and weighed each. The data from thatactivity appears below.
Weight
day
1Package
2 Package
Package 3
Package 4
Monday
23
22
23
24
Tuesday
23
21
19
21
Wednesday
20
19
20
21
Thursday
18
19
20
19
Friday
18
20
22
20
i. The mean of all sample means is:
a. 20
b. 23
c. 20.6
d. 19
e. 21
ii. Calculate 3σ upper and lower control limits for theMean.
a. UCL = 23.05; LCL = 18.15
b. UCL = 22.64; LCL = 18.56
c. UCL = 26.6; LCL = 14.6
d. UCL = 22.21; LCL = 18.98
e. UCL = 23.7; LCL = 17.5
iii. Is this process in control?
a. Monday sample is above the UCL; all others are withinlimits. The process is not in control.
b. Tuesday sample is above the UCL; all others arewithin limits. The process is not in control.
c. Wednesday sample is below the LCL; all others arewithin limits. The process is not in control.
d. Thursday sample is below the LCL; all othersare within limits. The process is not in control. e. All samplesare within limits. The process is in control.