Answer to Question #336160 in Statistics and Probability for Shoula

Question

A sample size of 400 is taken from a population x with a u=4 and o=2.Find the probability that the sample mean is less than 3.85

Answer 1

$$P(\bar{X}<3.85)=P(Z<\dfrac{3.85-4}{2/\sqrt{400}})$$

$$=P(Z<-1.5)\approx0.066807$$