An experiment is run where 15 obese individuals are given an experimental weight loss drug. The simplest initial test of the hypothesis is that obese individuals treated with the drug TFK-05W for a year will show a significant weight loss. The experiment follows all 15 individuals for a year, measuring their weights on the day treatment started and measures all 15 individuals one year later. The results compare weight of the same individuals at the beginning and end of the experiment.Results of t-test: t= 1.48 A. How many degrees of freedom are used for a t-test between the groups?B. What t-test is most appropriate for this data?C. Using the t-table below, is the p-value greater or less than 0.05? D. Based on the p-value, should the researchers conclude the weight loss drug is effective?
Critical Values of t
Level of significance
af
.10
.05
.025
.01
.005
.001
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 20 25 30 40 50 60 70 75 80 90 100 8
3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 1.325 1.316 1.310 1.303 1.299 1.296 1.294 1.293 1.292 1.291 1.290 1.282
6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.725 1.708 1.697 1.684 1.676 1.671 1.667 1.665 1.664 1.662 1.660 1.645
12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.086 2.060 2.042 2.021 2.009 2.000 1.994 1.992 1.990 1.987 1.984 1.960
31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 2.528 2.485 2.457 2.423 2.403 2.390 2.381 2.377 2.374 2.368 2.364 2.326
63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.845 2.787 2.750 2.704 2.678 2.660 2.648 2.643 2.639 2.632 2.626 2.576
318.313 22.327 10.215 7.173 5.893 5.208 4.782 4.499 4.296 4.143 4.024 3.929 3.852 3.787 3.733 3.552 3.450 3.385 3.307 3.261 3.232 3.211 3.202 3.195 3.183 3.174 3.090