Question

If men having High Blood Sugar problems are diagnosed with Diabetes, with the mean blood sugar level to be at 150 and a standard deviation of 10, and any individual greater than 125 Blood Sugar levels can be diagnosed with Diabetes, what is the probability of committing a Type II Error?

Answer 1

0.0062

Explanation:

Let X be the diagnosed blood sugar level.

Probability of committing a Type II error = Probability of failing to detect the disease when the person has the disease = Probability that the diagnosed blood sugar level is less than or equal to 125 =

`P(X \le 125 |\mu = 150)`

`= P[Z\le (125 - 150)/10]`

`=P[Z \le -2.5]`

= 0.0062