Determine if the finite correction factor should be used. If​ so, use it in your calculations when you find the probability . In a sample of 800 gas​ stations, the mean price for regular gasoline at...

Determine if the finite correction factor should be used. If​ so, use it in your calculations when you find the probability.

In a sample of 800 gas​ stations, the mean price for regular gasoline at the pump was $2.869 per gallon and the standard deviation was ​$0.008 per gallon. A random sample of size 45 is drawn from this population. What is the probability that the mean price per gallon is less than ​$2.867​?