Question: Need some assistance with this question, please show work if applicable. Thank you! An automatic filling machine is used to fill 1-liter bottles of cola.
Need some assistance with this question, please show work if applicable. Thank you!

An automatic filling machine is used to fill 1-liter bottles of cola. The machine's output is approximately normal with a mean of 1.02 liter and a standard deviation of 0.01 liter. Given the control limits that include 99.74% of the data, and these sample means: 1.025, 1.021, 1.018, 1.022, 1.015, 1.019, is the process in control? Select one: a. No, because 1.018 is outside the limits. O b. No, because 1.015 is outside the limits. c. Yes, because no points fall within the limits. O d. No, because 1.021 is outside the limits. O e. None of the other options. O f. Yes, because all points fall within the control limits O g. No, because 1.019 is outside the limits. h. No, because all points fall within the limits. O i. No, because 1.025 is outside the limits. O j. No, because 1.022 is outside the limits. k. No, because no points fall within the limits. O