16. 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: {132, 145, 124, 122, 165, 144, 151} Diagnosis group 2 data: {141, 139, 172, 131, 150, 125} 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 a =.05? 17. Independent random samples are drawn from two normal populations, which are assumed to have the same variance. One sample (of size 5) yields mean 86.4 and standard deviation 8.0, and the other sample (of size 7) has mean 78.6 and standard deviation 10. The limits of a 99% confidence interval for the difference in population means are found by adding to and subtracting from the difference in sample means a certain multiple of the estimated standard error of this difference. This multiple is the number