SOLUTION: Healty people have body temperatures that are normally distributed with a mean of 98.20 degrees F and a standard deviation of 0.62 degrees F. (a) If a healthy person is randomly

Question 277885: Healty people have body temperatures that are normally distributed with a mean of 98.20 degrees F and a standard deviation of 0.62 degrees F.
(a) If a healthy person is randomly selected, what is the probability that he or she has a temperature above 99.2 degrees F?
answer:
(b) A hospital wants to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 0.5 % of healty people to exceed it?
answer:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Healthy people have body temperatures that are normally distributed with a mean of 98.20 degrees F and a standard deviation of 0.62 degrees F.
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(a) If a healthy person is randomly selected, what is the probability that he or she has a temperature above 99.2 degrees F?
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z(99.2) = (99.2-98.2)/0.62 = 1.6129
P(x > 00.2) = P(z> 1.6129) = 0.0534
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(b) A hospital wants to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 0.5 % of healty people to exceed it?
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Find the z-score tht has a right tail of 5%: z = inv(0.95) = 1.645
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Find the temperature that corresponds to z = 1.645
x = zs + u
x = 1.645*0.62+98.2
x = 99.22 degrees
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Cheers,
Stan H.
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