Question: Assume that you have used the simple random sampling method and collected data from the order delivery process in this coffee shop for 8 days

  1. Assume that you have used the simple random sampling method and collected data from the order delivery process in this coffee shop for 8 days as given in Table 1 below. The CTQ used in Table 1 is "order delivery time" in minutes. It is assumed that tolerance limits include 99% of the items in the population and confidence level is 95%. Calculate the upper and lower tolerance limits (UTL and LTL).

Table 1. Data Set

Date

Start Time 

X1

order delivery time

X2

order delivery time

X3

order delivery time

X4

order delivery time

X5

order delivery time

01-14-2022

6:49:22

5.30

4.29

5.19

3.29

4.008

01-15-2022

7:49:37

3.56

3.32

6.01

4.11

5.12 

01-16-2022

8:49:50

3.48

4.24

9.21

5.11 

6.22

01-17-2022

9:50:01

4.22

3.36

8.33

4.15

7.19

01-18-2022

10:50:10

3.23

4.17

6.15

3.47

5.11

01-19-2022

11:50:21

4.57

3.24

7.57

3.59

3.29 

01-21-2022

12:50:30

5.50

4.56

6.49

3.19

2.14

01-22-2022

1:50:39

5.51

5.39

7.39

4.15

5.49

 


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