Bowling Magazine reports that 12% of men wear size 9 shoes, 40% size 10, 20% size 11, 18% size 12 & 10% size 13. If you stock your bowling alley with 250 bowling shoes as follows, will it fit the magazine’s frequencies at

Upper Control Limit (UCL - subscript x) = 14.23 ounces Lower Control Limit (LCL - subscript x) = 13.77 ounces Explanation: To find the control limits for the x (overbarx) chart, we need to use the formula: UCL = x? + 3?/?n LCL = x? - 3?/?n where x? is the sample mean, ? is the standard deviation, and n is the sample size. Given that the boxes of Honey-Nut Oatmeal are produced to contain 14.0 ounces, we can use this as our sample mean. The standard deviation is given as 0.15 ounces, and the sample size is 49. Plugging these values into the formula, we get: UCL = 14.0 + 3(0.15)/?49 = 14.23 ounces LCL = 14.0 - 3(0.15)/?49 = 13.77 ounces Therefore, the Upper Control Limit (UCL - subscript x) is 14.23 ounces and the Lower Control Limit (LCL - subscript x) is 13.77 ounces.