10. Based on study the temperature for an adult human are appro are approximatel

Question

10. Based on study the temperature for an adult human are appro are approximately normaly distributed with a mean temperature of 98.25°F with a standard devi 73 F of a. (4 points) Approximately what proportion of adults have a temperature higher than 999F (To get full credit draw out the density curve B)26% C)15.15% D) 84.85% E)1.03 28.43% A) b. (4 points) Doctors consider adults to have a fever if their temperature falls itn the top 4%. How high of a temperature does an adult human have to display for the Doctor to considered them to have a fever A) 98.6F 8)97.939F C) 99.539F D) 96.97 F E) 100°F

Explanation / Answer

P(X < A) = P(Z < (A - mean)/standard deviation)

Mean = 98.25oF

Standard deviation = 0.73oF

a) P(X >99oF) = 1 - P(X < 99)

= 1 - P(Z < (99 - 98.25)/0.73)

= 1 - P(Z < 1.03)

= 1 - 0.8485

= 0.1515

= 15.15% (option C)

b) Let A be the temperature that the doctors shall consider as fever

P(X > A) = 0.04

P(X < A) = 1 - 0.04

P(Z < (A - 98.25)/0.73) = 0.96

From standard normal distribution table, take the z score corresponding to 0.96

So, (A - 98.25)/0.73 = 1.75

A = 99.53oF (Option C)

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.