A production manager at an apparel manufacturing company claims that the new quality check method is beneficial, meaning it has fewer defective items. To check this claim, she randomly selects 30 items on the production line and the average number of defective items per day is obtained before and after using the new quality check method. The mean difference (before - after) is found to be 2 items with a standard deviation of 3.5 items. Is there evidence to show that the new quality check method is beneficial at 5% level of significance? Perform all the steps of a hypothesis test