Reference no: EM132794636
Consider the following scenario: An industrial seller of grass seeds packages its product in 50-pound bags. A customer has recently filed a complained alleging that the bags are underfilled. A production manager randomly samples a batch and measures the following weights:
Weight, (lbs)
45.6 49.5
47.7 46.7
47.6 48.8
50.5 48.6
50.2 51.5
46.9 50.2
47.8 49.9
49.3 49.8
53.1 49.3
49.5 50.1
To determine whether the bags are indeed being underfilled by the machinery, the manager must conduct a test of mean with a significance level α = 0.05.
Respond to the following:
-State appropriate null (Ho) and alternative (H1) hypotheses.
-What is the critical value if we work with a significant level α = 0.05?
-What is the decision rule?
-Calculate the test statistic.
-Are the bags indeed being underfilled?
-Should machinery be recalibrated?
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