(Solved): Determine if the finite correction factor should be used. If so, use it in your calculations when ...

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 $$\$2.882$$ per gallon and the standard deviation was $$\$0.009$$ per gallon. A random sample of size 50 is drawn from this population. What is the probability that the mean price per gallon is less than $$\$2.878$$ ? The probability that the mean price per gallon is less than $$\$2.878$$ is $$0.0006$$. (Round to four decimal places as needed.)