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. In a minimum of 175 words, 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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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.

In a minimum of 175 words, 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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