The table below shows the number of one company's stores located in each of 50 regions. Complete parts (a) through (c) below. 60 22 75 54 563 84 307 126 21 30 198 125 80 31 198 99 115 158 82 48 41 35 157 45 345 135 205 234 21 67 23 86 409 20 38 103 a. Compute the mean, variance, and standard deviation for this population. The population mean is u = (Type an integer or a decimal. Round to one decimal place as needed.) The population variance is =- (Round to the nearest integer as needed.) NOTE: To calculate the variance, do not round standard deviation value. This is to avoid the rounding error. The population standard deviation is o =. (Type an integer or a decimal. Round to one decimal place as needed.) b. What percentage of the 50 regions have stores within 1 1, 12, or # 3 standard deviations of the mean? The percentage within 1 1 standard deviation of the mean is% (Type an integer or a decimal. Do not round.) The percentage within +2 standard deviations of the mean is%. Type an integer or a decimal. Do not round. The percentage within 1 3 standard deviations of the mean is]% (Type an integer or a decimal. Do not round.) c. Compare your findings in part (b) with what would be expected on the basis of the empirical rule. Are you surprised at the results in part (b)? O A. Yes, because a much lower percentage of regions are within 1 1 standard deviation of the mean than would be expected on the basis of the empirical rule. O B. Yes, because a much higher percentage of regions are within 1 1 standard deviation of the mean than would be expected on the basis of the empirical rule. O C. Yes, because all the data are within + 2 standard deviations of the mean. O D. No, because the percentage values are close to those predicted by the empirical rule