Question

12. In an experiment, 18 babies were asked to watch a climber attempt to ascend a hill. On two occasions, the baby witnesses the climber fail to make the climb. Then, the baby witnesses either a helper toy push the climber up the hill, or a hinderer toy preventing the climber from making the ascent. The toys were shown to each baby in a random fashion. A second part of this experiment showed the climber approach the helper toy, which is not a surprising action, and then the climber approached the hinderer toy, which is a surprising action. The amount of time the baby watched each event was recorded The mean difference in time spent watching the climber approach hinderer toy versus watching the climber approach the helper toy was 1.23 seconds with a standard deviation of 1.64 seconds. Complete parts (a) through (c). Click the icon to view the table of critical t-values (a) State the null and alternative hypotheses to determine if babies tend to look at the hinderer toy longer than the helper toy. Let Ho = Prinderer Phelper, where hinderer is the population mean time babies spend watching the climber approach the hinderer toy and riper is the population mean time babies spend watching the climber approach the helper toy Ho: Pg (1) Hy: Ha (2) (b) Assuming the differences are normally distributed with no outliers, test if the difference in the amount of time the baby will watch the hinderer toy versus the helper toy is greater than 0 at the 0.05 level of significance. Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Determine the critical value for this hypothesis test (Use a comma to separate answers as needed. Round to two decimal places as needed.) State the conclusion for this hypothesis test O A. Reject Ho. There is sufficient evidence at the a=0.05 level of significance to conclude that the difference is greater O B. Do not reject Ho. There is sufficient evidence at the a=0.05 level of significance to conclude that the difference is great greater than 0. OC. Do not reject H, There is not sufficient evidence at the a 0.05 level of significance to conclude that the difference is greater than O. OD. Reject Ho. There is not sufficient evidence at the <= 0.05 level of significance to conclude that the difference is gre greater than 0. (c) What do you think the results of this experiment imply about babies' ability to assess surprising behavior? A. There is not sufficient evidence that babies have the ability to assess surprising behavior OB. This experiment does not imply anything about babies' ability to assess surprising behavior because correlation does c. There is sufficient evidence that babies may have the ability to assess surprising behavior. Further experimentation OD. There is sufficient evidence that babies have the ability to assess surprising behavior. 1: Table of Critical t-Values

Answer 1

Mil Mean time spent Watching the climbee approach the hinderne toy My ! Men time spent Watching the climbez approach the helpoe toy Md= Mi-Me a) We lish to test Ho: Maro t Hi : Mayo by We have, Id = 1.23, Sd>1.64,0-18, 220.05 - Tast stetistic. ta Xd Solin 1.23 164/518 = 3.182 t-3.18 ceitical rake: fince it is eight failed test te= traine=to.gs. 17 = 1.74 [te=1.74 Conclyion: fince 1.74 <3.18 ie t>tc. We reject Ho A. Peject Ho, These ts sufficient evidence at the <=0.05 Jered of Siqnificance to conclude that the diffe {ance is geeclee than o D. There is sufficient evidence that babies have the ability to assess Juepeising behavio CS Scanned with CamScanner

Avain -Distributie Area in Right Degrees of Freedom 0.15 0.10 0.05 0.025 4 5 7 8 9 10 12 14 15 17 18 19 1.000 0.816 0.765 0.741 0.727 0.718 0.711 0.706 0.703 0.700 0.697 0.695 0.894 0.692 0.691 0.600 0.689 0.688 0.688 0.687 0.686 0.686 0.685 0.685 0.684 0.084 0.684 0.683 0.683 0.683 0.682 0.682 0.682 0.682 0.682 1.376 1.963 3.078 6.314 12.706 1.061 1.386 1886 4.303 0.978 1.250 1.618 2.353 3.182 0.941 190 1.533 2.132 2.776 0.920 1156 1476 2015 2.571 0.906 134 1.440 1.943 2.447 0.806 1119 1.415 1895 2.365 0.880 L108 1.397 1860 2.306 0.883 L100 1383 1833 2.262 0.870 1003 1.372 1812 2.228 0.876 LOSS 1.363 1.796 2.201 0.873 1083 1.356 1.782 2.179 0.870 1079 1.350 1.771 2.160 0.868 1076 1.345 1.761 2.145 0.866 L074 1.341 1.753 2.131 0.865 1071 1.337 2.120 0.863 L069 1.333 1.740 2.110 0.862 1067 1.330 2.101 0.861 L066 1.328 1.729 2.093 0.860 1064 1.325 1.725 2.056 0.850 1.063 1323 1.721 2.080 0.858 1.0611321 1.717 2.074 0.858 1.060 1.319 1.714 2.069 0.857 1.050 1.318 1.711 2.064 0.856 1.058 1.316 1.708 2.060 0.856 1.058 1.315 1.706 2.056 0.855 LOS7 1.314 1.703 2.052 0.855 1.056 1.313 1.701 2.048 0.854 LOSS 1.311 1.699 2.045 0.854 1.085 1.310 1.697 2.042 0.853 1.054 1.309 1.696 2.040 0.853 1.054 1.309 1.691 2.037 0.853 1.053 1.308 1.692 2.035 0.852 1.052 1307 1.691 2.0t2 0.852 1.052 1306 1.600 2.000 1 A 21 25 23 31 35 OS 1 1