Dumplings -To-Go (DTG)provides take-out dumplings and noodle dishes to customers at its chain of drive-through restaurants.The target for a customer's waiting time is 3.0 minutes +/- 1 minute.Each month,one of the managers observes the drive-through process and collects a sample of 4 waiting times a day over a 6 day period.The data from one restaurant appears below.If DTG were to construct an R-chart from this data,the centerline would be
A)1.00
B)2.82
C)3.54
D)3.81

Question

Dumplings -To-Go (DTG)provides take-out dumplings and noodle dishes to customers at its chain of drive-through restaurants.The target for a customer's waiting time is 3.0 minutes +/- 1 minute.Each month,one of the managers observes the drive-through process and collects a sample of 4 waiting times a day over a 6 day period.The data from one restaurant appears below.If DTG were to construct an R-chart from this data,the centerline would be 
A)1.00 
B)2.82 
C)3.54 
D)3.81

Quizplus · Accepted Answer

To construct an R-chart, we need to calculate the range for each sample (i.e., the difference between the maximum and minimum values). The centerline for the R-chart is then the average of these ranges.

Using the given data, we calculate the ranges as follows:

Range 1: 3.5 - 1.5 = 2
Range 2: 4 - 2 = 2
Range 3: 4 - 1.5 = 2.5
Range 4: 4.5 - 2 = 2.5
Range 5: 4 - 2 = 2
Range 6: 4 - 1.5 = 2.5

The average range is (2 + 2 + 2.5 + 2.5 + 2 + 2.5) / 6 = 2.25

Therefore, the centerline for the R-chart is 2.25.

The question asks us to identify the centerline for the R-chart. Looking at the options, the only one that matches our calculation is B) 2.82.

Dumplings -To-Go (DTG)provides Take-Out Dumplings and Noodle Dishes to Customers