Test the hypothesis that the average content of containers of a particularlubricant is 10 L if the contents of a random sample of 10 containers are10.2, 9.7, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, and 9.8 liters. Use a 0.01level of significance and assume the distribution of contents is normal.

given that average content of containers of a particular lubricant is 10L

Answered: Test the hypothesis that the average…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A quality inspector measured the diameter of a ball bearing using a new type of caliper. The results were as follows (in mm): 0.265, 0.263, 0.266, 0.267, 0.267, 0.265, 0.267,0.267, 0.265, 0.268, 0.268, and 0.263. Use the Wilcoxon signed-rank test to evaluate the claim that the mean ball diameter is 0.265 mm. Use a = 0.05. Match the answers. - v Parameter of Interest: a. H:u = 0.265 v Null and Alternative Hypothesis H:µ > 0.265 v Test Statistic: b. w = min (w+,w-) v Reject the Null Hypothesis if: c. Fail to reject the null hypothesis. v Conclusion: w = 9 is not less than or equal to the critical value w 0.05.1=9= 5 d. Mean ball diameter e. Reject the null hypothesis. The mean ball diameter claim is not 0.265 mm. f. H:u = 0.265 H:µ + 0.265 g.r = min (R+,R-) h. Η: μ:0.265 H:u < 0.265 i. w < wo.05. J=12 = 13 j. w < W0.05. n=9
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Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content, resulting in the following data (µg/g). Wheat 5.2 4.4 6.1 6.2 6.6 5.8 Barley 6.5 7.9 6.0 7.6 6.0 5.7 Maize 5.8 4.6 6.4 4.9 6.0 5.2 Oats 8.4 6.2 7.8 7.1 5.4 7.2 USE SALT Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level α = 0.05 test. State the appropriate hypotheses. | H₂: M₁ = H₂ = H3 = H4 H₂: all four μ's are unequal • Ho: M₁ = H₂ = H3 = H4 H₂: at least two μ's are unequal ⒸH₂² H₁ H₂ H3 H4 # H: all four μ's are equal O Ho: M₁ #M₂ #H3 H4 H₂: at least two μ's are equal Compute the test statistic value. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.001 < P-value < 0.010 O P-value < 0.001 State the conclusion in the problem context. O Reject Ho. There is not significant evidence…
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7. Assume the following normal distribution to represent the plasma cholesterol values of randomly selected individuals in mmol/L. o = 0.5 5.2 a. Convert 4.15 mmol/L to z score. b. Convert 6.55 mmol/L to z score. c. Convert 4.39 mmol/L to z score. d. What value in mmol/L corresponds to a z score of 1.38? e. What value in mmol/L corresponds to a z score of -0.44? f. Find P(X s 5.89) g. Find P(X 2 4.59) h. Find P(4.39 sX< 5.60) i. Find x such that P(X 2 x) = 0.0359 j. Find x such that P(4.98 s Xs x) = 0.6598
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Test the hypothesis that the average content of containers of a particular lubricant is 10 L if the contents of a random sample of 10 containers are 10.2, 9.7, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, and 9.8 liters. Use a 0.01 level of significance and assume the distribution of contents is normal.