4) The average age of doctors in a certain hospital is 50.0 years old. Suppose the distribution of ages is normal and has a standard deviation of 4.0 years. Assume that the variable is normally distributed. a) If 16 doctors are chosen at random for a committee, find the probability that the average age of those doctors is less than 50.7 years. b) Find the probability that a single doctor's age is less than 50.7 years
Added by -Scar S.
Close
Step 1
The standard deviation of the sample mean is the population standard deviation divided by the square root of the sample size. In this case, the sample size is 16, so the standard deviation of the sample mean is 4.0/sqrt(16) = 1.0 years. Show more…
Show all steps
Your feedback will help us improve your experience
Sri K and 70 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The average age of doctors in a certain hospital is 50.0 years old. Suppose the distribution of ages is normal and has a standard deviation of 4.0 years. If 16 doctors are chosen at random for a committee, find the probability that the average age of those doctors is less than 50.3 years. Assume that the variable is normally distributed. A) 11.8% B) 38.2% C) 53.8% D) 61.8%
Christopher D.
The average age of doctors in a certain hospital is 45.0 years old with a standard deviation of 4.0 years. If 10 doctors are chosen at random for a committee, assume that the variable is normally distributed, find the probability that: a) the mean age of those doctors is less than 43.80 years. b) the mean age of those doctors is between 42 to 47 years. c) the mean age of those doctors is more than 45.80 years.
Anna D.
The average age of doctors in a certain hospital is 45.0 years old with a standard deviation of 4.0 years. If 10 doctors are chosen at random for a committee, assume that the variable is normally distributed, find the probability that a) the mean age of those doctors is less than 43.80 years. b) the mean age of those doctors is between 42 to 47 years. c) the mean age of those doctors is more than 45.80 years.
Frank D.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD