A county agricultural analyst took the sample of average annual precipitation for 40 cities. He wanted to test the null hypothesis that the average annual rainfall was at most 32.6 inches against alternative that it was greater than 32.6 inches. Suppose that the sample standard deviation was 14.56, and sample mean was 34.94. Carry out the appropriate test for the county analyst at the 0.05 level. Calculate the test statistic and write your conclusion. (Round your answer(s) to 3 decimal places.)
Test statistic=