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Exercise Set 22: "Reject it or Fail!" or a Lab on "Hypothesis Testing"

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R00000000

ENGR 1330 Exercise Set 22

Exercise 1

The data below are the impact impact strength of packaging materials in foot-pounds of two branded boxes. Produce a histogram of the two series, and determine if there is evidence of a difference in mean strength between the two brands. Use an appropriate hypothesis test to support your assertion at a level of significance of $\alpha = 0.10$.

Amazon Branded Boxes Walmart Branded Boxes
1.25 0.89
1.16 1.01
1.33 0.97
1.15 0.95
1.23 0.94
1.20 1.02
1.32 0.98
1.28 1.06
1.21 0.98
1.14 0.94
1.17 1.02
1.34 0.98

Deliverables:

  • Working scripts that produce perform the necessary tests
  • Narrative (or print blocks) that supply answer questions
  • CCMR citations for sources (URL for outside sources is OK)

Hints:

  • A suggested set of code cells is listed below
  • Add/remove cells as needed for your solution
In [1]:
# define lists and make into dataframe
In [24]:
# describe lists/dataframe
In [25]:
# histograms
In [26]:
# hypothesis tests are means same? (test for nomrality then t-test if normal; mann-whitney if non-normal)
In [27]:
# interpret findings (could be a markdown cell, or embed into code)