Test the null hypothesis that the true population average body weight is the same for two independent diagnosis groups from one hospital versus the alternative hypothesis that these two population averages are different, using the following data:
Diagnosis group 1 data: J132, 145, 124, 122, 165, 144, 1511
Diagnosis group 2 data: 1141, 139, 172, 131, 150, 1251
You may assume that the populations from which the data come are each normally distributed, with equal population variances. What conclusion should be drawn, with α = .05?