Score: 0 of 1 pt 18 of 19 (16 complete) HW Score: 78 95%, 15 of 19 pts 6.2.30 Qu

Question

Score: 0 of 1 pt 18 of 19 (16 complete) HW Score: 78 95%, 15 of 19 pts 6.2.30 Question Help * Assume that human body temperatures are normally distributed with a mean of 98.21°F and a standard deviation of 0 63°F a. A hospital uses 100 6 F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of 100 6F is appropriate? b. Physicians want to select a minimum t exceed it? (Such a result is a false positive, meaning that the test result is positive, but the subject is not really sick) ature for requiring further medical tests What should that temperature be, if we want only 5 % of healthy people to a. The percentage of normal and healthy persons considered to have a fever is 0.01 % (Round to two decimal places as needed.) Does this percentage suggest that a cutoff of 100 6 F is appropriate? OA. No, because there is a large probability that a normal and healthy person would be considered to have a fever B. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever ° C. Yes, because there is a large probability that a normal and healthy person would be considered to have a fever 0 D. No, because there is a small probability that a normal and healthy person would be considered to have a fever sf 4 (C Fifwe want only 50% ofhealthy people to exceedit b The minimum temperature for requiring further medical tests should be (Round to two decimal places as needed.) All parts showing Clear All O Type here to search

Explanation / Answer

a) for probability of having a temperature of 100.6 or above=P(X>100.6)

=P(Z>(100.6-98.21)/0.63)=P(Z>3.7937)=0.01%

yes because there ...........

b) for top 5% , at 95th percentile ; zscore =1.6449

therefore coresponding temperature =mean +z*Std deviation =98.21+1.6449*0.63 =99.25 degree F

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