A sample of size 39 will be drawn from a population with mean 26 and standard deviation 14. Find the probability that $\bar { x }$ will be less than 29 .
A) 0.8925
B) 0.0901
C) 0.9099
D) 0.8770

Question

A sample of size 39 will be drawn from a population with mean 26 and standard deviation 14. Find the probability that $\bar { x }$ will be less than  29 . 
A)  0.8925 
B)  0.0901 
C)  0.9099 
D)  0.8770

Quizplus · Accepted Answer

The standard error is 14/sqrt(39). The z-score for $\bar{x} = 29$ is (29-26)/(14/sqrt(39)) ≈ 1.34. Using the standard normal distribution table, the probability of z < 1.34 is approximately 0.9099.

A Sample of Size 39 Will Be Drawn from a Population