Question

When a process is in control, it results in there being, on average, 16 defects per unit of output. c-chart limits of 8 and 24 would lead to a

Answer 1

4.56%

Step-by-step explanation:

From the given information:

In a c-chart limit

UCL =
`\bar c+ z * √(\bar c )`

where;

`\bar c = 16`

UCL = 24

Then:

`24 = 16 + z * √(24)`

`24 -1 6 = z * √(24)`

`8 = z * 4.89`

`z = (8)/(4.89)`

z
`\simeq` 2.0

At z = 2.0, the value represents the probability of 95.44% of not making a Type 1 error.

This implies that the probability of making a Type 1 error = 1 - 95.44%

= 4.56%