Mathematics: Five data entry operators work at the data processing department of the birmingham bank. each day for 30 days, the number of defective records in a sample of 200 records typed by these operators has been noted, as follows: sample no. no. defectives sample no. no. defectives sample no. no. defectives 1 6 11 5 21 18 2 4 12 5 22 11 3 18 13 15 23 5 4 9 14 5 24 6 5 10 15 10 25 14 6 9 16 7 26 9 7 12 17 13 27 13 8 9 18 4 28 7 9 7 19 17 29 13 10 13 20 16 30 3 a) establish 3sigma upper and lower control

Five data entry operators work at the data processing

Ответ:

brockmerino

07.01.2022

Mathematics

UCL = 0.406

LCL = 0.244

Step-by-step explanation:

Data is shown below:

Here ∑np = 293

∑n = 900

Calculating the average of the data:

$\bar{p}=\frac{\sum np}{\sum n}\\\bar{p}=\frac{293}{9000} = 0.325$

$\text{and,} \bar n=\frac{\sum n}{k}\\ \bar n=\frac{9000}{30} = 300$

Now, Calculating Upper and Lower Limit:

$UCL =\bar{p}+ 3\sqrt\frac{\bar p(1- \bar p)}{\bar n} \\UCL = 0.325 + 3\sqrt\frac{0.325(1- 0.325)}{300}\\\Rightarrow UCL = 0.406$

$\text{and,} LCL =\bar{p}- 3\sqrt\frac{\bar p(1- \bar p)}{\bar n} \\LCL = 0.325 - 3\sqrt\frac{0.325(1- 0.325)}{300}\\\Rightarrow LCL = 0.244$

Five data entry operators work at the data processing department of the birmingham bank. each day fo

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austinmiller3030

15.02.2022

Mathematics

The equation y = 3x represents a proportional relationship, where y represents distance in miles, and x represents time in hours. The point (3, 9) represents that Alonso walks 9 miles in 3 hours. The point (5, 15) represents that Alonso walks 15 miles in 5 hours.

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