Question #9 [10 pts] A fruit grower wants to test a new spray that a manufacturer claims will reduce the loss due to insect damage. To test the claim, the grower sprays 200 trees with the new spray and 200 other trees with the standard spray. The following data were recorded: New Spray Standard Spray Mean yield per tree x (kg) Sample variance s 109 103 445 372 a) Do the data provide sufficient evidence to conclude that the mean yield per tree treated with the new spray exceeds that for trees treated with the standard spray? Perform the test using the critical value approach with a = 0.05. b) Find the p-value for the test and draw your conclusions using a +0.05. c) Construct a 95% confidence interval for the difference between the mean yields for the two sprays. Based on this interval, can you conclude that there is a significant difference between the mean yields for the two sprays? Justify your answer.