b) A manufacturer claims that the average thickness of their chewing gum is 20mm. A qualitycontrol engineer wishes to check this claim and measures the average thickness of a sampleof 10 pieces of gum, finding x = 18.6mm and s = 4mm. Does the sample seem to indicatethat the average thickness of their chewing gum is not 20mm? Use a 0.05 level of significance.Circle the correct null and alternative hypotheses.i)H : μ = 20:Нo μ = 20Η : μ < 20H₁ μ 20Нo μ = 20H₁ μ> 20ii)What is the probability of making a Type Ierror?iii)Which test statistic will you use? Circle your answer.ᏃTiv)x²Calculate the value of the test statistic for the quality control engineer's sample.v)Determine the critical value of the test statistic. Do not round or truncate.vi) Determine the P-value.vii)What is the conclusion?Accept HoReject HoFail to reject HoCircle your response.viii)Does the sample seem to indicate that theaverage thickness of their chewing gum is not20mm? Circle your response.YESNO

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Answered: b) A manufacturer claims that the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa’s rate? The file ResidentialWater contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities. Using the critical value approach, conduct the appropriate hypotheses to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. Use α = 0.05. Critical Value Approach Develop the null and alternative hypothesis Specify the level of significance, α Choose the test statistic (z or t) Use the level of significance to determine the critical value and the rejection rule Calculate the test statistic Compare test statistic to your rejection rule. Reject of Fail to Reject the null hypothesis Interpret the statistical conclusion in the context of the problem.

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