The students running the sprouts experiment (Exercise 12) also kept track of the number of beans sprouted (out of 40) for each of the 36 dishes. Here are the partial box plots of Sprouts plotted against Salinity and Temperature:

An ANOVA table show:

An interaction plot shows;

A plot of residuals vs. predicted values shows;

a) State the hypotheses about the factors (both numerically and in words).
b) Perform the hypothesis tests and state your conclusions. Be sure to check conditions.

22.5 T 15.0 75 30 10 0 4 8 12 Salinity (ppm) 32 34 36 Temperature (C) Sum of Mean Source DF Squares Square F-ratio P-value 3 2014.750 671.583 23,657 0.0001 2 57.556 28.778 1014 0.3779 Salinity Temp Salinity x Temp 6 96.000 16.000 0564 0.7549 Error Total 24 681.33 28.389 35 2849.639 40 e 30 Salinity (ppm) 34 36 Temperature (C) 7.5 + 5 10 15 20 Predicted Values (# of sprouts)