Reference no: EM132716251
You are a member of a team conducting a study to investigate the capability of healthcare helpline. The response time (in seconds) is critical, since this can determine if someone gets the right info or the info is transmitted to the relevant areas of the healthcare system. Based on the established standard of the healthcare system, the lower and upper specifications limits are 155 seconds and 161 seconds, respectively. The process has a standard deviation of 1.1 seconds. The healthcare also has an established standard nominal response time of 158.6 seconds, and nominal variability (measured by the range) of 4.5. 20 days, at different times of the day. The healthcare system wants to maintain a 4-sigma quality standard.
Table 1 Sample 2AM_Inspection 5AM_Inspection 8AM_Inspection 11AM_Inspection 2PM_Inspection
1 157.0 158.0 158.0 160.0 158.0
2 157.0 158.0 157.0 161.0 156.0
3 1 57.0 157.0 157.0 156.0 158.0
4 158.0 155.0 156.0 159.0 157.0
5 159.0 156.0 159.0 156.0 158.0
6 158.0 161.0 158.0 160.0 159.0
7 161.0 162.0 157.0 160.0 162.0
8 160.0 162.0 161.0 161.0 161.0
9 159.0 158.0 159.0 156.0 158.0
10 162.0 161.0 159.0 157.0 155.0
11 1 61.0 156.0 157.0 160.0 161.0
12 160.0 160.0 155.0 159.0 155.0
13 156.0 161.0 161.0 157.0 162.0
14 162.0 158.0 160.0 156.0 159.0
15 157.0 156.0 161.0 156.0 160.0
16 161.0 155.0 160.0 156.0 156.0
17 162.0 159.0 161.0 159.0 162.0
18 157.0 157.0 155.0 160.0 158.0
19 158.0 155.0 161.0 160.0 160.0
20 162.0 162.0 156.0 156.0 157.0
Required
Use the data (Table 1) to
a. Calculate the control limits of the relevant control chart(s)
b. Construct the relevant control chart(s)
c. Comment on the process, based on the control limits and/or the control chart(s)
d. Calculate the capability ratio (Cp) and capability index (Cpk) and comment on you findings
e. Using the established nominal standard of 158.6 and a standard deviation of 2.1, to construct an x-bar chart with a 5% type 1 error and comment on the findings, using the data given in Table
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