Follow the instruction. Provide clear and readable answers thank you. Don't forget to draw a curve.

I. The items in this seatwork require the use of a Statistical test (parametric) that involves the comparison of a sample mean to the population mean. In each item, identify which between one-sample z-test and one sample t-test should be used. Justify your answer. Il. Conduct Traditional Hypothesis Testing in each item. Step 1: State the null and alternative hypotheses Step 2: Select a level of significance (draw a normal curve, indicating the critical value/s) Step 3: Select the test statistic Step 4: State the decision rule Step 5: Compute the value of the test statistic Step 6: Make a decision Ill. Box your final statement/decision in the given problem Items: 1. A soft drink dispenser is designed to dispense 250 ml of drink per cup. However, there have been recent reports to the managements of a fast-food restaurant of both underfilled and overfilled cups. Seeking to investigate this matter, they fill up 50 cups using this machine. If the mean amount of drink in the 50 cups is 248 ml with standard deviation of 12 ml, is there a cause for concern for the management? Use a level of significance of 0.01 (10 points)