An agriculture company wants to know if a new type of fertilizer has improved crop yield or not. Historic data shows the average yield of the crop is 29 tons per acre. They decide to test the new...

Extracted text: An agriculture company wants to know if a new type of fertilizer has improved crop yield or not. Historic data shows the average yield of the crop is 29 tons per acre. They decide to test the new organic fertilizer on a smaller sample of 17 different farms and observe the new yield is 30.4 tons per acre with a standard deviation of 2.75 tons. A hypothesis test was conducted at 1% level of significance to see if the new fertilizer perform better to increase the production of crops. a. Calculate the value of the the appropriate test statistic for this test. Answer rounded to at least 2 decimal places. b. Determine the tabulated critical value for this test. Only write the absolute value (without +/- sign) Answer rounded to at least 3 decimal places. c. Determine the p-value for this test. Answer in exact fraction, or rounded to at least 4 decimal places.