\"Assigned: Use the six-step process and assumption format to complete the following: Please reduce the amount of information in Problem Definition to two or fewer sentences and try to avoid numbers Problem DefinitioniResearch Objective: A manufacturer wishes to advertise a new environmentally friendly trash bag on a major TV Network. The manufacturers claim that bags strength has been significantly increased compared to past 30-gallon bags. The network wants significance statistical evidence regarding the claim that the new bag is stronger. Agreed testing will measure the variable of strength in terms of poundage of content placed into the bag while suspended in the air. The follow data of n=50 trash bags represent the poundage of trash placed into the bag at the time the bag tore. The new bag's u mean breaking strength is unknown. The current bag on the market has a known mean breaking strength u of 550 lbs. Alpha of .05 is set for the test. The 0:15 pounds Dataset of Trash Bag Breaking Strengths 85.195 37.865 146.077 64.737 65.962 118.178 61.255 22.760 55.100 10.176 109.694 47.795 97.737 71.910 43.160 55.789 103.098 120.065 72.313 60.044 98.518 16.208 77.533 34.674 33.505 106.634 14.453 37.202 96.486 16.360 31.285 36.019 14.184 22.850 25.680 66.000 114.590 40.023 61.988 56.209 19.096 50.726 82.222 14.200 84.025 62.478 66.495 35.594 90.369 37.814 Instructions to get you started on your analysis of trash bag data For your report {prepared in Word] Include: Problem Definition Hypothesis (use correct symbols in Word see INSERTT-'Symbols for the correct symbols to use in the hypothesis a Decision Rule {use tables to determine the correct critical value and state the decision referencing the critical value. Test step {Minitab output] Include appropriate output as demonstrated in this handout and during lecture. Including unrelated output will result in point deductions. Conclusion: For the Conclusion section include a The critical valueicritical ratio technique and whether Type 1 or Type 2 errors may have resulted in light of yourfindings. (If type 1 state alpha valuelprobability of Type 1. For Type 2 stipulate error by indicating Beta Type 2 error may have occurred. a The confidence interval technique. State the bounds of the confidence interval and stipulate whether the parameter lvlu isl captured the hypothesized parameter. 0 Compare the p-value to alpha (state both the value of the pvalue and the alpha value} to test the null hypothesis. State whether you reject or fail to reject (accept) the null hypothesis. "NOTE: Each of the conclusion sections described above must show numbersr'values for the appropriate technique. For example, you cannot say the confidence interval captures the parameter. You must state the bounds of the interval and value of the parameter or points will be deducted. Enter data from problem into a Minitab worksheet to create a datasel for the trash bag study. Use Minitah to test the hypothesis you formulate for the trash bag tearing strength claim. Present your work in report format using the six-step process demonstrated in class and which is shown on the nal page of this handout. For the Interpretation section, provide a clear response or decision to management regarding your results and what they mean to the problem Example: Hammermill hypothesis was rejected which may be interpreted as the process of cutting the paper is not within Hammermill's established controls. For this problem, be sure to answer whether the bags hold significantly more trash on average and determine their advertisement should be aired on TV. For your Assumption section; address the assumption of normality by referencing the sample size and how the central limit theorem supports normality. Also include the samples was randomly and independently selected. 15 points