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LUCKY_DIMON [66]
3 years ago
7

While developing x-bar and R charts, the manager took 10 samples each of size 6. The average of sample means was 3.2. The averag

e range value was 0.6. What will be the value of UCL for the R-chart?
a. 1.2
b. 1.4
c. 1.5
d. 1.7
Mathematics
1 answer:
stiv31 [10]3 years ago
3 0

Answer:

Option a. 1.2 is the correct answer

Step-by-step explanation:

Given the data in the question;

sample size n = 10

sub group = 6

The average of sample means x" = 3.2

Average range value R' = 0.6

the value of UCL for the R-chart = ?

To get the value of UCL for the R-chart, we say;

UCL_R = D₄ × R'

from table of constants "Tabular values for x-bar and range charts

for size 6, the factor for control limits for range D₄ = 2.004

so we substitute  

UCL_R = 2.004 × 0.6  

UCL_R = 1.2024 ≈ 1.2  

Hence, Option a. 1.2 is the correct answer.

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