The blue catfish (Ictalurus Furcatus) is the largest species of North American catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to American Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. A sample of 43 blue catfish caught at this reservoir provided a mean of 40.6 with a standard deviation of 4.02. Using a 0.05 significance level, test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds.
Calculate your test statistic. Write the result below, and be
sure to round your final answer to 3 decimal places.
Calculate your p-value. Write the result below, and be sure to
round your final answer to 4 decimal places.
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