The average age of doctors in a certain hospital is 42.0 years old. Suppose the distribution of ages is normal and has a standard deviation of 8.0 years. If 25 doctors are chosen at random for a committee, find the probability that the average age of those doctors is less than 43.1 years. Assume that the variable is normally distributed.

A) 25.8%
B)24.2%
C)59.8%
D)75.8%

Question

The average age of doctors in a certain hospital is 42.0 years old. Suppose the distribution of ages is normal and has a standard deviation of 8.0 years. If 25 doctors are chosen at random for a committee, find the probability that the average age of those doctors is less than 43.1 years. Assume that the variable is normally distributed.

A) 25.8%
B)24.2%
C)59.8%
D)75.8%

kropot72 · Answer

Do you know how to calculate the z-score for X = 43.1 ?