What are the answers to #2 and #4? Again, need the answers to #2 and #4. Thanks.

Question

What are the answers to #2 and #4?

Again, need the answers to #2 and #4. Thanks.

1. Question Details My Notes Ask Your Gestational diabetes is diagnosed in a patient if one hour after consuming a sugary drink the patient's blood sugar level is OVER 140. However, the blood sugar level of a patient is unknown, and a diagnosis has to be made based on a sample or a sample mean being over 140. The blood level will vary from sample to sample, but it is generally believed that the amount of glucose in a blood sample follows a normal distribution with standard deviation 10. Kate's mean blood sugar level is 142 (thus, unknown to her doctor she has gestational diabetes), and each blood sample follows a normal distribution with mean 142 (the mean level) and standard deviation 10. What is the probability that her gestaonal diabetes wil be NOT be diagnosed? O The probability she will not be diagnosed based on just one sample is 42.1%, however if the average of 9 samples were taken the probability of not being diagnosed will reduce to 3.6%. The probability she will not be diagnosed based on just one sample is 42.1%, however if the average of 9 samples were taken the probability of not being diagnosed will decrease to 27.4% The probability she will not be diagnosed based on just one sample is 20%, however if the average of g samples were taken the probability of not being diagnosed will increase to 60%. The probability she will not be diagnosed based on just one sample is 57.9%, however if the average of 9 samples were taken the probability of not being diagnosed will increase to 72.6%. iewing Saved Work Revert to Last Response 2. Question Details My Notes Ask Your Let us return to the question on diagnosing gesta dbetes. Which statement or statements are true? C] The probability of a misdiagnoses decreases the closer the mean glucose level is to 140 [B] The probability of a misdiagnoses decreases as the number of blood samples increases [A] The probability of a misdiagnoses decreases the further the mean glucose level of a patient is from 140 threshold (A) and (B) (B) and (C) Submit Answer Save Progress

Explanation / Answer

First i am doing question 4 as it is independent.

Mean weight = 150 pounds

Standard deviation = 25 pounds

Here if number of people = 10

Here mean weight of 10 people = 150 * 10 = 1500 pounds

Standard deviation of 10 people weight = sqrt(10 * 25 * 25) = 79.057 pounds

Here if X is the weight of 10 people

Pr(X > 1600 ; 1500 ; 79.057) = 1 - Pr(X < 1600 ; 1500; 79.057)

Z = (1600 - 1500)/ 79.057 = 1.265

Pr(X > 1600 ; 1500 ; 79.057) = 1 - Pr(X < 1600 ; 1500; 79.057) =1 - Pr(Z < 1.265) = 1 - 0.897 = 0.103

Here using te normality of the avrage weight of 10 people, the probability of exceeding 1600 pouds is approximately 10.2%.

Option A is correct.

Question 2

Here as sample size increases that makes the probability of misdiagnosis decreass.

Similarly, if the mean sugar level is closer to 140 then also probability of misdiagnosis will increase as the critical region will reduce here. On that thing the further the mean, the probability of misdiagnosis will reduce.

Option D here is correct which encompasses A and B.

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