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

Determine if the finite correction factor should be used. If so, use if in your calculations when you find the probability. In a sample of 700 gas stations, the mean price for regular gasoline at the pump was \( \$ 2.862 \) per gallon and the standard deviation was \( \$ 0.009 \) 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 \( \$ 2.859 \) ? The probability that the mean price per gallon is less than \( \$ 2.859 \) is (Round to four decimal places as needed.)