Statistics II Mod 5/6 test prep 1 Directions: Please use the P-value Approach for all hypothesis tests. Follow all the steps used in hypothesis testing as delineated in the guided notes or the textbook and be sure to verify the conditions for each test. Include any StatCrunch, SurfStat, graphing calculator, etc... output used in the process. I am assuming that all questions will be answered using technologyit is not necessary to include by-hand construction of the test statistics. Assume that all samples are randomly obtained. Question #1: Poker is back. It is so popular that the internet is loaded with on-line poker sites. Johnny C. is a poker enthusiast who believes that a certain on-line site is manipulating the probabilities to encourage winning. He has recorded the results of 3 months of playing with the accepted probabilities for each hand, n = 2,996. Hand 1 pair 2 pair 3 of a kind Straight Flush Full House Other Probability 0.4425 0.0475 0.0211 0.0039 0.0020 0.0014 0.4816 Number of Hands 1,309 140 59 13 5 7 1,463 Expected Values a Test Johnny C's claim that the on-line games do not follow the accepted probabilities with = .005. b There are many other poker hands that were lumped into the \"Other\" category ( IE: Royal Flush, probability of 0.000015391). Why did Johnny C. have to place these hands into one category? Question #2: A weight-lifting coach claims that weight-lifters can increase their strength by taking a certain supplement. To test the theory, the coach randomly selects 9 athletes and gives them a strength test using a bench press. The results are listed below. Thirty days later, after regular training using the supplement, they are tested again. The new results are listed below. Test the claim that the supplement is effective in increasing the athletes' strength. Use = 0.05. Assume that the distribution in question is normally distributed. Athlete 1 2 3 4 5 6 7 8 9 Before 215 240 188 212 275 260 225 200 185 After 225 245 188 210 282 275 230 195 190 Statistics II Mod 5/6 test prep 2 Question #3: To test the effectiveness of a new drug designed to relieve pain, 250 patients were randomly selected and divided into two equal groups. One group of 125 patients was given a pill containing the drug while the other group of 125 was given a placebo. What can we conclude about the effectiveness of the drug if 62 of those actually taking the drug felt a beneficial effect while 41 of the patients taking the placebo felt a beneficial effect? Use = 0.05. Question #4: The times (in minutes) to assemble a computer component for 3 different machines are listed in the table below. Workers are randomly selected. Machine 1 Machine 2 Machine 3 32 35 28 30 29 25 31 38 29 32 33 31 34 32 29 35 36 Assuming all conditions are met, test the claim that there is a difference in mean assembly time for each machine using a 5% level of significance. Use the P-value approach. Question #5: A statistics teacher wants to see whether there is a statistically significant difference in the ages of day students and night students. A random sample of 31 students is selected from each group. The data are given below. Test the claim that there is difference in the mean ages of the two groups. Use = 0.01. Day Students: 22 24 24 23 19 19 23 22 18 21 21 18 18 25 29 24 23 22 22 21 20 20 Statistics II Mod 5/6 test prep 20 27 17 19 18 21 20 23 26 Evening Students: 18 20 25 23 20 24 25 23 23 23 19 25 20 21 24 19 23 27 23 24 23 24 20 21 20 24 21 21 20 28 27 3