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Question: how to answer this the final picture is the answer...

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5) Using the description and data below, perform a statistical analysis on the data below. Clearly state your level of significance and what differences there are, if any that point you towards your decision. Use Table 1 on page 11 of the Introduction Lab as needed (Show your work by hand. You do not need to show calculation of averages or basic addition/subtraction, but I should be able to see your usage of proper equations.) An Indiana engineering student has inherited dozens of farming plots from his grandfather, an illustrious corn and soy bean farmer. Since this student doesnt have time to spend growing corn himself, he has found a team to manage the land on his behalf. Looking through his grandfathers notes, he found some old data gathered from several growing seasons. The land management team has asked which of these two fertilizers should be used for the soil in Indiana. This engineering student has no idea how to do statistics and has come to you for help. Be sure to tell him which fertilizer is better, and why they should use that one for this land. **Hint a two-sided test only tells you if something is DIFFERENT. A one-sided test will tell you if something is larger or smaller.
Table 1. Values for ta based upon the t-distribution O 0.1 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 α 0.05 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.086 2.042 2.000 1.960 α 0.01 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.845 2.750 2.660 2.576 1 6 10 12 13 14 15 20 30 60 1.761 1.753 1.725 1.697 1.671 1.645
Growing Year 1996 1997 1998 1999 2000 2001 2002 Corn Produced w/ Fertilizer A (tons) 14.2 14.8 15.2 16 14.5 13.9 15.4 Corn Produced w/ Fertilizer B (tons) 12.4 14.3 13.5 14.2 12.8 13.6 14.5
Datal Data2 12.4 14.3 13.5 14.2 12.8 13.6 14.5 14.85714 13.61429 0.729971 0.790419 7 14.2 14.8 15.2 16 14.5 13.9 15.4 Equation Used Average +/- (st.dev)*(t)/( Averages St. Deviation n (number of samples) 7 t-value (FROM TABLE) 2.447 2.447 Cl_Low Cl High 14.18201 12.88324 15.53228 14.34533
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