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A bubble gum company claims that the flavor in their gum lasts for at least 45 minutes. However, George has done 45 tests, and determined that his flavor lasted 40 minutes on average, with a sample standard deviation of 15. Do an exact statistical test on the claim, with alpha = 0.01.

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Solution Summary

The solution provides step-by-step method of performing a Z-Test. All the steps of hypothesis testing (formulation of null and alternate hypotheses, selection of significance level, choosing the appropriate test-statistic, decision rule, calculation of test-statistic and conclusion) have been explained and the statistical analysis has been shown in details.

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Problem: A bubble gum company claims that the flavor in their gum lasts for at least 45 minutes. However, George has done 45 tests, and determined that his flavor lasted 40 minutes on average, with a sample standard deviation of 15. Do an exact statistical test on the claim, with alpha = 0.01.
Solution:
Null ...

Solution provided by:
Anwesha Ghosh, MSc
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  • MSc, Osmania University
  • MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
  • BSc, Banaras Hindu University
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