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 Definition/Research 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 mean breaking strength is unknown. The current bag on the market has a known mean breaking strength of50 lbs. Alpha of .05 is set for the test. Thes =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	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	14.453	35.594
37.202		96.486	16.360	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 for trash bag data analysis

For your ANSWER (prepared in Word) Include:

Problem Definition :

1. Hypothesis (use correct symbols in Word see INSERT>Symbols for the correct symbols to use in the hypothesis a

2. Decision Rule (use tables to determine the correct critical value and state the decision referencing the critical value.

3. Test step: (Minitab output) Include appropriate output as demonstrated in this handout and during lecture. Including unrelated output will result in point deductions.

4. Conclusion:For the Conclusion sectioninclude

• The critical value/critical ratio technique and whether Type 1 or Type 2 errors may have resulted in light of your findings. (If type 1 state alpha value/probability of Type 1. For Type 2 stipulate error by indicating Beta Type 2 error may have occurred.
• The confidence interval technique. State the bounds of the confidence interval and stipulate whether the parameter Mu isl captured the hypothesized parameter.
• 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 numbers/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 make 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.

5. 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.

6. 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.

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