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In: Statistics and Probability

A sunscreen company is attempting to improve upon their formula so that it lasts in water...

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 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 38 49 71
82 34 52 80
79 69 52 82
68 53 30 78
63 77 53 49
66 39 55 65

The hypotheses for this ANOVA test would be:

H0:μA=μB=μC=μDH0:μA=μB=μC=μD

HA:HA: At least one mean is different. (claim)

α=0.05α=0.05

Complete the ANOVA table below: (round answers to 3 decimal places)

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Expert Solution

orchestra answered 1 year ago
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