Use the following scenario for Questions 37 - 45. A researcher believes kids have a different weight after eating Halloween candy. [He is not sure if they gain weight from eating too much candy, or if they lose weight from getting sick after eating too much candy.) The weight of 9 kids are shown below, both before and after Halloween. He is going to conduct the appropriate tests at the .05 significance level. Wei ht Before Wei ht After Difference = After - Before 95 87 -8 82 80 -2 112 112 0 102 92 -10 113 118 5 89 91 2 117 113 -4 93 100 7 73 65 -8 Mean: 97.33 Mean: 95.33 Mean: -2 37. Write out the appropriate null and alternative hypotheses for this study. 38. Which population is the null hypothesis concerned with? 39. Compute the estimated standard error of the mean differences. 40. What is the sample mean of the mean differences? 41. What are the degrees of freedom? 42. What is (are) the critical t-value(s) of this problem? 43. Compute the observed t-value. 44. The p-value associated with this study is 0.35. What decision should the researcher make? Justify your answer with the t-value and with the p-value. 45. Compute the 95% condence interval