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2. A company producing mango chips claims that the mean weight per bag of its product is 500 grams. A certain organization of buyers questions the legitimacy of the company's claim; stating that the company has been selling their items with a lesser weight than their actual claim. The organization based their accusation from a sample of 25 bags which has a mean weight of 492 grams and a standard deviation of 15 grams. Using these data, determine the legitimacy of the company's claim at 0.025 level of significance. (10 points)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