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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?

User Chaffelson
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5 votes

Answer:

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

User Ye Shiqing
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