The average production of peanuts in the state of Virginia is 2980 pounds per acre with a population standard deviation of 512 pounds. A new plant food is developed and is tested on a sample of 45 peanut farms. The mean production for the sample with the new plant food is 3098 pounds of peanuts per acre. At the 0.05 level of significance, can one conclude that the new plant food increases the average peanut production?
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