The Agricultural Experiment Station of a university tested two different herbicides and their effects on crop yield. From 90 acres set aside for the experiment, the station used herbicide 1 on a random sample of 30 acres and herbicide 2 on a second random sample of 30 acres; they used the remaining 30 acres as a control. At the end of the growing season, the yields (in bushels per acre) were as follows:

a. Use these data to conduct a one-way analysis of variance to test whether there is a difference in the mean yields. Use μ = .05.
b. Construct 95% confidence intervals on the mean yields mi.
c. Which of the mean yields appear to be different from the control? 

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Herbicide 1 812 81 79.9 84.6 804 74.4 817 901 1024 89.2 92.0 917 75.9 95. 76.1 83.0 88.0 805 73.6 804 103.2 85.9 73.6 80.0824 79.5 99.8 96.6 813 94.7 Herbicide 2 948 909 85.2 833 955 85.4 87.1 89.6 83.7 88.7 914 85.4 890 92.4 850 91.0 89.2 1009 88.5 90.3 87.6 80.7 90.0 1010 92.1 97.9 92.5 88.8 894 100.1 Control 9.5 914 82.6 69 854 808 90.6 88.6 80.8 781 82.5 935 831 905 892 82084 90.1 84.5 81.2 924 905 82.0 106.6 96.9 76. 1018 75 888