The suggested retail price for a cenain video game is $59.19. The data below contains a random sample of 200 retail prices paid for this video game. Complete parts a through d below. g Click the icon for a table of video game sale prices. a) Calculate the samp e mean and standard deviation of retail prices paid for the video game. The sample mean is $ . (Round to two decimal places as needed.) The sample standard deviation is $ . (Round to two decimal places as needed.) b) Determine if the average retail price has fallen from $59.19 by calculating the probability that a random sample of size 200 would result in a sample mean no larger than the sample mean calculated in part a. Assume that the population mean is $59.19 and that the sample standard deviation is representative of the population standard deviation. The probability of obtaining a sample with a mean no largerthan the sample mean calculated previously is (Round to four decimal places as needed.) c) Calculate the probability that a random sample of size 200 would result in a sample mean no larger than the sample mean calculated in part a. Assume that the population mean is $58.74. instead of $59.19, and that the sample standard deviation is representative of the population standard deviation. The probability of obtaining a sample with a mean no largerthan the sample mean calculated previously is (Round to four decimal places as needed.) d) Does it seem likely that the average price of the game has decreased? i] A. It is less likely that a sample mean no larger than the mean of the given sample would come from a distribution of $58.74 than from one with a mean of $59.19. Therefore, it appears that the average price of the game has decreased. B. It is more likely that a sample mean no larger than the mean of the given sample would come from a distribution of $58.74 than from one with a mean of $59.19. Therefore, it appears that the average price of the game has increased. i . C. It is less likely that a sample mean no larger than the mean of the given sample would come from a distribution of $58.74 than from one with a mean of $59.19. Therefore, it appears that the average price of the game has increased. D. It is more likely that a sample mean no larger than the mean of the given sample would come from a distribution of $58.74 than from one with a mean of $59.19. Therefore, it appears that the average price of the game has decreased. Video Game Prices Video Game Prices (in dollars) $58.97 $56.53 $59.67 $62.19 $59.17 $50.80 $49.68 $54.51 $59.10 $54.67 $59.76 $61.76 $59.30 $57.45 $59.27 $61.97 $60.58 $59.87 $56.94 $58.12 $54.65 $58.89 $56.84 $61.76 $54.67 $55.23 $56.67 $59.20 $59.80 $58.99 $60.70 $59.00 $55.33 $60.87 $53.13 $60.69 $58.53 $56.53 $59.51 $59.13 $61.69 $55.58 $58.60 $59.61 $63.62 $57.85 $59.35 $58.02 $57.60 $57.16 $61.13 $58.87 $55.57 $62.31 $56.18 $58.93 $60.44 $57.40 $58.85 $58.99 $55.13 $54.32 $58.61 $56.88 $54.36 $61.71 $57.16 $62.38 $56.24 $60.74 $57.51 $59.51 $58.26 $64.74 $56.22 $62.34 $59.71 $57.80 $58.40 $56.92 $62.12 $56.58 $57.60 $54.84 $63.70 $56.81 $60.13 $54.02 $60.29 $59.43 $53.33 $58.80 $62.78 $56.49 $54.97 $55.96 $61.01 $57.72 $57.98 $56.68 $58.41 $60.48 $58.53 $62.22 $58.10 $58.62 $58.85 $55.89 $58.28 $61.62 $60.64 $59.87 $57.53 $63.59 $57.08 $58.45 $58.19 $58.66 $56.09 $61.39 $58.69 $56.97 $57.42 $56.64 $59.92 $58.33 $59.16 $60.80 $62.15 $56.81 $63.67 $56.13 $59.65 $58.90 $57.14 $61.62 $54.18 $58.82 $58.39 $60.69 $59.60 $60.14 $59.18 $55.89 $58.57 $57.00 $61.77 $57.86 $61.46 $59.05 $58.78 $58.52 $56.69 $60.07 $60.22 $59.93 $59.83 $61.09 $58.03 $56.33 $63.78 $56.70 $58.64 $56.55 $59.57 $55.39 $59.54 $52.19 $56.38 $61.39 $54.97 $56.97 $56.23 $57.14 $59.79 $60.15 $64.02 $58.22 $59.53 $56.16 $57.97 $55.49 $58.37 $58.14 $56.74 $59.65 $62.93 $63.40 $59.76 $61.27 $59.11 $56.00 $61.13 $56.18 $54.44 $57.39 $59.76 $60.10 $61.12 $59.01