Use the following to answer questions 26-28. A SRS of 20 third grade children is selected in Chicago and each is given a test to measure his or her reading ability. In the sample, the mean score is 64 points and the standard deviation is 12 points. 26. The standard error of the mean is a. 14.31. b. 7.20. c. 2.68. d. 0.60. 27. We are interested in a 95% confidence interval for the population mean score. The margin of error associated with the confidence interval is a. 2.68 points. b. 4.64 points. c. 5.62 points. d. 6.84 points. 28. A 90% confidence interval for the population mean score based on these data is a. 64+ 2.68 points. b. 64 + 4.64 points. c. 64+5.62 points. d. 641 6.84 points . 29. The appraised values of three recently sold houses in the Columbus area are (in thousands of dollars) 160, 215, and 195. The standard error of the mean of these three appraised values is a. 190.00. b. 27.84. c. 22.73. d. 16.07.46 Labby rolled 12 dice 26,306 times. If each side is equally likely to come up, how many 1s, 2s, ..., 6s would he expect to have observed? (a) 1/6 (b ) 12/6 (c) 26,306 / 6 (d) 12 x 26,306 / 6 47 Which of the following methods is best way to calculate the p-value of the hypothesis test evaluating if Paul the Octopus' predictions are unusually higher than random guessing? (a) Flip a coin 8 times, record the proportion of times where all 8 tosses were heads. Repeat this many times, and calculate the proportion of simulations where all 8 tosses were heads. ( b ) Roll a die 8 times, record the proportion of times where all 8 rolls were 6s. Repeat this many times, and calculate the proportion of simulations where all 8 rolls were 6s. Flip a coin 10,000 times, record the proportion of heads. Repeat this many times, and calculate the proportion of simulations where more than 50% of tosses are heads