We would like to determine if there is evidence that the true mean weight of all polar bears in Churchill, Manitoba differs from 1000 pounds. Weights of polar bears in Churchill are known to follow a normal distribution with a standard deviation of 140 pounds. The mean weight of a random sample of 25 polar bears is calculated to be 1057 pounds.

What is the p-value of the appropriate test of signifiance? Report you answer to 4 decimal places