Q1: The average production of peanuts in a certain state is 3,136 pounds per acre. A new plant food has been developed and it is tested on 74 individual plots of land. The mean yield with the new plant food is 3,385 pounds of peanuts per acre with a standard deviation of 449 pounds. At a=0.05 can one conclude that the average production has increased, find the critical value.
Q2: A state executive claims that the average number of acres in Pennsylvania state parks is less than 2,399 acres. A random sample of 5 parks is selected, and the number of acres is shown (950, 1147, 728, 6784, 622). At a=0.01, find the critical value.