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

Answer:

0.0062

Step-by-step 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