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Sagot :
Answer:
our correct option is b = 0.00 for 3 sigma (σ)
Explanation:
Solution:
Let's tabulate the data given:
Shirts Defects
1 4
2 6
3 3
4 1
5 5
6 6
7 4
8 6
Now, as we can see from the above data,
Number of samples taken = Shirts randomly examined = 8
Now, we have to calculate (C bar), for this we have to divide the sum of defects and total number of samples.
Note: We denoting (C bar) as B. So,
B = Sum of defects/ Number of samples
Sum of defects = 4 + 6 + 3 + 1 + 5 + 6 + 4 + 6
Sum of defects = 35
(C bar) = B = 35/8
B = 4.37
Formula to find out LCL for 3 sigma (σ):
LCL = B - [tex]z\sqrt{B}[/tex]
where z value for 3 sigma = 3
LCL = 4.37 -(3[tex]\sqrt{4.37}[/tex])
LCL = 4.37 - (3 x (2.092)
LCL = 4.37 - (6.276)
LCL = -1.901
So, now, when the LCL = negative, it is taken as 0.0
Hence, our correct option is b = 0.00 for 3 sigma (σ)
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