Question

Use the six-step process and assumption format to complete the following: Problem Definition/Research Objective: A manufacturer wishes to advertise a new environmentally friendly trash bag on a major TV Network. The manufactures wished to 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 µ mean breaking strength is unknown. The current bag on the market has a known mean breaking strength µ of ≤50 lbs. Alpha of .01 is set for the test. The =20 pounds DataSet of Trash Bag Breaking Strengths 85.195 37.865 146.077 64.737 65.962 118.178 61.255 2.760 5.100 62.478 10.176 109.694 47.795 97.737 71.910 43.160 55.789 103.098 120.065 66.495 72.313 60.044 98.518 16.208 77.533 34.674 33.505 106.634 4.453 35.594 37.202 96.486 6.360 31.285 36.019 14.184 22.850 25.680 66.000 90.369 114.590 40.023 61.988 56.209 19.096 50.726 82.222 14.200 84.025 37.814 Instructions to get you started: Enter data from problem into a Minitab worksheet to create a dataset for the trash bag study. Use Minitab 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 final page of this handout For your report (prepared in Word) you will need a Problem Definition, a Hypothesis (use correct symbols in Word see INSERT>Symbols for the correct symbols to use in the hypothesis a Decision Rule (use tables to determine the correct critical value, a Test step (Minitab output) a Conclusion. For the Conclusion section include the critical value/critical ratio technique, the confidence interval technique the p-value technique to test the null hypothesis and be sure to state the type of error you may have made (Type 1 or Type 2). For the Interpretation section state whether the air quality has improved or has stayed the same. You will also need to satisfy the assumptions associated with the utilized testing technique. Note: Be sure to include the following in your Conclusion: Critical value/Critical Ratio technique and type of error (Type 1 or Type 2) Confidence interval values and state whether interval captures the hypothesized parameter µ = 50 lbs which would lead you to fail to reject the null. p-values technique. All three techniques should agree. Also, for step six, Interpretation, provide a clear response 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

Answer 1