Answer:
4.56%
Explanation:
From the given information:
In a c-chart limit
UCL = [tex]\bar c+ z \times \sqrt{\bar c }[/tex]
where;
[tex]\bar c = 16[/tex]
UCL = 24
Then:
[tex]24 = 16 + z \times \sqrt{24}[/tex]
[tex]24 -1 6 = z \times \sqrt{24}[/tex]
[tex]8 = z \times 4.89[/tex]
[tex]z = \dfrac{8}{4.89}[/tex]
z [tex]\simeq[/tex] 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%
