Question

2. An experiment was conducted to test the effects of nitrogen fertilizer on lettuce production. Five rates of ammonium nitrate were applied to four replicate plots in a completely randomized design. The data are the number of heads of lettuce harvested from the plot.

Treatment (lb N/acre)	Head of lecture/plot
0	104	114	90	140
50	134	130	144	174
100	146	142	152	156
150	147	160	160	163
200	131	148	154	163

1. Compute the 95 % confidence interval estimates of the nitrogen level means.
2. Test the hypothesis of no difference among the means of the nitrogen levels with the F test at the .05 level of significance.
3. Write the normal equations for the data.
4. This experiment was conducted in a completely randomized design with the field plots in a 4 x 5 rectangular array of plots. Show a randomization of the five nitrogen treatments to the 20 plots using a random permutation of the numbers 1 through 20.

Answer 1