The table below shows the number of one company's stores located in each of 50 regions. Complete parts (a) through (c) below. 565 85 68 17 13 305 0 69 25 78 51 82 31 129 20 26 193 126 69 56 77 41 40 98 119 155 84 47 95 30 32 42 344 135 5 204 58 67 230 20 155 67 25 89 409 43 18 141 114 38 102 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 o =]. (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, +2, or + 3 standard deviations of the mean? The percentage within + 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 all the data are within + 2 standard deviations of the mean. O B. No, because the percentage values are close to those predicted by the empirical rule. C. Yes. because a much lower percentage of regions are within + 1 standard deviation of the mean than would be expected on the basis of the empirical rule. Ask My Instructor Print