mean output

1. Table 5.20 gives the output for 8 years of an experimental farm that used each of 4 fertilizers. Assume that the outputs with each fertilizer are normally distributed with equal variance. ð a Þ Find the mean output for each fertilizer and the grand mean for all the years and for all four fertilizers. ( b ) Estimate the population variance from the variance between the means or columns. ( c ) Estimate the population variance from the variance withinthe samples or columns. ( d ) Test the hypothesis that the population means are the same at the 5% level of significance.

Table 5.20 Eight-Year Outputs with 4 Different Fertilizers