In: Statistics and Probability
7. A farmer wishes to determine if a new fertilizer
increases her tomato crop yield. She lays out seven plots and in
each plot plants two tomato plants. One plant is given the new
fertilizer and the other is given the fertilizer the farmer is
currently using. The table below has the yield (in pounds).
Plot 1 2 3 4 5 6 7
New 5.3
6.1
5.7
8.4
3.7
9.4 9.2
Old
4.9
5.9
6.0
6.9
2.8
8.2 7.2
Make a 95% confidence interval for the difference between the mean
yield of all plants with the new fertilizer and with the old
fertilizer. Interpret the interval.