mpany etballs has the motto, balls are ready to play. it is important to the company that the basketballs are inflated with the proper amount of air when shipped. Most basketballs are inflated to 7 to 9 pounds per square inch. From a set of calibration data, X = 8.03 and R=0.57. Recently the company selected a random basketball from its production line at four different time periods over its normal production day. The results were listed in the accompanying table. Complete parts a through c Click the icon to view the data table. Click the icon to view the factors for calculating control limits.

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Data Table
Day 1
Day 2
Day 3
Day 4
Day 5
Day 6
8:00-10:00 AM
7.44
7.86
8.13
8.16
8.3
7.38
Shift
10:00 AM
7.84
8.55
7.96
7.62
8.07
7.47
Noon-2:00 PM
7.87
8.05
8.21
7.71
8.14
7.93
2:00-4:00 PM
8.33
7.63
8.51
7.9
8.12
7.73
Transcribed Image Text:Data Table Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 8:00-10:00 AM 7.44 7.86 8.13 8.16 8.3 7.38 Shift 10:00 AM 7.84 8.55 7.96 7.62 8.07 7.47 Noon-2:00 PM 7.87 8.05 8.21 7.71 8.14 7.93 2:00-4:00 PM 8.33 7.63 8.51 7.9 8.12 7.73
A company that makes basketballs has the motto, "Our basketballs are ready to play." Therefore, it is important to the company that the basketballs are inflated with the proper
amount of air when shipped. Most basketballs are inflated to 7 to 9 pounds per square inch. From a set of calibration data, X = 8.03 and R=0.57. Recently the company selected a
random basketball from its production line at four different time periods over its normal production day. The results were listed in the accompanying table. Complete parts a through c.
Click the icon to view the data table.
Click the icon to view the factors for calculating control limits.
a) Create an x-bar chart based on the calibration data statistics for these 6 samples. Choose the correct graph below.
OA.
O B.
2 3 4 5 6
Group
1.6-1
1.2-
0.8-
0.4-
1 2 3 4 5
Group
6
Q
UCL
CL
LCL
Q
Ucha
CL
8.6
8.4-
b) Create an R chart based on the calibration data statistics for these 6 samples. Choose the correct graph below.
O A.
O B.
LCL
8.24
8
7.8
7.6
1.4-
C
0.8-
0.2+
1 2 3 4 5 6
Group
Q
UCLO
CL
LCLE
1 2 3 4 5 6
Group
Q
UCL
CL
O C.
8.8
8.4-
8-
7.6-
7.2-
O C.
2.5
2-
1.5-
0.5-
2 3 4 5
Group
4 5
Group
6
Q
CL
LOL
Q
CL
LCL
c) Assuming that the process was in control during the calibration period, is the company's process for filling its basketball with the proper amount of air in control?
O A. No, the R chart indicates that the company's process is out of control.
O B. Yes, both charts indicate that the company's process is in control.
O C. No, the x-bar chart indicates that the company's process is out of control.
O D. No, both charts indicate that the company's process is out of control.
Transcribed Image Text:A company that makes basketballs has the motto, "Our basketballs are ready to play." Therefore, it is important to the company that the basketballs are inflated with the proper amount of air when shipped. Most basketballs are inflated to 7 to 9 pounds per square inch. From a set of calibration data, X = 8.03 and R=0.57. Recently the company selected a random basketball from its production line at four different time periods over its normal production day. The results were listed in the accompanying table. Complete parts a through c. Click the icon to view the data table. Click the icon to view the factors for calculating control limits. a) Create an x-bar chart based on the calibration data statistics for these 6 samples. Choose the correct graph below. OA. O B. 2 3 4 5 6 Group 1.6-1 1.2- 0.8- 0.4- 1 2 3 4 5 Group 6 Q UCL CL LCL Q Ucha CL 8.6 8.4- b) Create an R chart based on the calibration data statistics for these 6 samples. Choose the correct graph below. O A. O B. LCL 8.24 8 7.8 7.6 1.4- C 0.8- 0.2+ 1 2 3 4 5 6 Group Q UCLO CL LCLE 1 2 3 4 5 6 Group Q UCL CL O C. 8.8 8.4- 8- 7.6- 7.2- O C. 2.5 2- 1.5- 0.5- 2 3 4 5 Group 4 5 Group 6 Q CL LOL Q CL LCL c) Assuming that the process was in control during the calibration period, is the company's process for filling its basketball with the proper amount of air in control? O A. No, the R chart indicates that the company's process is out of control. O B. Yes, both charts indicate that the company's process is in control. O C. No, the x-bar chart indicates that the company's process is out of control. O D. No, both charts indicate that the company's process is out of control.
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