In: Statistics and Probability
The number of days required for two suppliers to deliver orders is as follows.
Supplier A: |
10.0 |
4.0 |
13.0 |
1.0 |
17.0 |
7.0 |
11.0 |
16.0 |
6.0 |
19.0 |
Supplier B: |
9.0 |
4.0 |
13.0 |
2.0 |
23.0 |
8.0 |
12.0 |
15.0 |
6.0 |
24.0 |
(A) Which supplier provides more consistent and homogenous delivery times A or B? ...
Average Number of Days for Supplier A = days, and Standard Deviation = day.
Coefficient of Variation for Supplier A =
Average Number of Days for Supplier B = days, and Standard Deviation = day.
Coefficient of Variation for Supplier A =
(B) Justify your answer? ...
Since the (Click to select) Coefficient of Variation Mean Standard Deviation Variance of (Click to select) Supplier A Supplier B is less than that of (Click to select) Supplier B Supplier A , then it is more consistent and homogenous delivery times.
(A).
Supplier A:
The sample mean is,
The sample standard deviation(s) is,
The coefficient of variation (c.v.) is,
Average Number of Days for Supplier A = 10.4 days, and Standard Deviation = 5.929 days.
Coefficient of Variation for Supplier A = 0.5701
Supplier B:
The sample mean is,
The sample standard deviation (s) is,
The coefficient of variation (c.v.) is,
Average Number of Days for Supplier B = 11.6 days, and Standard Deviation = 7.4416 days.
Coefficient of Variation for Supplier B = 0.6415
(B).
Since the Coefficient of Variation of Supplier A is less than that of Supplier B, then it is more consistent and homogenous delivery times.