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A sunscreen company is attempting to improve upon their formula so that it lasts in water longer. They have 4 lead scientists who each came up with a different formulas. In order to see if there is a difference in the time the sunscreen lasts the CEO collects a random sample of each of the four sunscreens the data is shown below. Test the claim that at least one sunscreen has a different lifespan in water at a 0.05 level of significance. Sunscreen A Sunscreen B Sunscreen C Sunscreen D 61 66 41 52 46 74 47 58 66 56 64 90 47 48 51 80 79 65 40 70 84 57 61 86 The hypotheses for this ANOVA test would be: Ho:HA = µB = µc = µD HA: At least one mean is different. (claim) a = 0.05

A sunscreen company is attempting to improve upon their formula so that it lasts in water longer. They have 4 lead scientists who each came up with a different formulas. In order to see if there is a difference in the time the sunscreen lasts the CEO collects a random sample of each of the four sunscreens the data is shown below. Test the claim that at least one sunscreen has a different lifespan in water at a 0.05 level of significance. Sunscreen A Sunscreen B Sunscreen C Sunscreen D 61 66 41 52 46 74 47 58 66 56 64 90 47 48 51 80 79 65 40 70 84 57 61 86 The hypotheses for this ANOVA test would be: Ho:HA = µB = µc = µD HA: At least one mean is different. (claim) a = 0.05

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A sunscreen company is attempting to improve upon their formula so that it lasts in water longer. They have 4 lead scientists who each came up with a different formulas. In order to see if there is a difference in the time the sunscreen lasts the CEO collects a random sample of each of the four sunscreens the data is shown below. Test the claim that at least one sunscreen has a different lifespan in water at a 0.05 level of significance. Sunscreen A Sunscreen B Sunscreen C Sunscreen D 61 66 41 52 46 74 47 58 66 56 64 90 47 48 51 80 79 65 40 70 84 57 61 86 The hypotheses for this ANOVA test would be: Ho: HA = µB = µC = µp HA: At least one mean is different. (claim) a = 0.05
Transcribed Image Text:A sunscreen company is attempting to improve upon their formula so that it lasts in water longer. They have 4 lead scientists who each came up with a different formulas. In order to see if there is a difference in the time the sunscreen lasts the CEO collects a random sample of each of the four sunscreens the data is shown below. Test the claim that at least one sunscreen has a different lifespan in water at a 0.05 level of significance. Sunscreen A Sunscreen B Sunscreen C Sunscreen D 61 66 41 52 46 74 47 58 66 56 64 90 47 48 51 80 79 65 40 70 84 57 61 86 The hypotheses for this ANOVA test would be: Ho: HA = µB = µC = µp HA: At least one mean is different. (claim) a = 0.05
SS df MS F p-value Between Within The decision of the test is to: O do not reject Ho O reject Ho The final conclusion is: O There is enough evidence to reject the claim that at least one sunscreen lasts a different amount of time. O There is not enough evidence to support the claim that at least one sunscreen lasts a different amount of time. O There is enough evidence to support the claim that at least one sunscreen lasts a different amount of time. O There is not enough evidence to reject the claim that at least one sunscreen lasts a different amount of time.
Transcribed Image Text:SS df MS F p-value Between Within The decision of the test is to: O do not reject Ho O reject Ho The final conclusion is: O There is enough evidence to reject the claim that at least one sunscreen lasts a different amount of time. O There is not enough evidence to support the claim that at least one sunscreen lasts a different amount of time. O There is enough evidence to support the claim that at least one sunscreen lasts a different amount of time. O There is not enough evidence to reject the claim that at least one sunscreen lasts a different amount of time.
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