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 0.10 level of significance. Sunscreen A Sunscreen B Sunscreen C Sunscreen D 84 33 31 71 75 66 31 78 57 72 43 63 64 77 64 89 43 52 46 84 76 34 61 45 The hypotheses for this ANOVA test would be: Η 0: μ Αμ Bμ c μ D HA : At least one mean is different. (claim) 0.10 Complete the ANOVA table below: (round answers to 3 decimal places) df MS F p-value Between Within The decision of the test is to: reject Ho do not reject H0

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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 0.10 level of
significance.
Sunscreen A
Sunscreen B
Sunscreen C
Sunscreen D
84
33
31
71
75
66
31
78
57
72
43
63
64
77
64
89
43
52
46
84
76
34
61
45
The hypotheses for this ANOVA test would be:
Η 0: μ Αμ Bμ c μ D
HA : At least one mean is different. (claim)
0.10
Complete the ANOVA table below: (round answers to 3
decimal places)
df
MS
F
p-value
Between
Within
The decision of the test is to:
reject Ho
do not reject H0
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 0.10 level of significance. Sunscreen A Sunscreen B Sunscreen C Sunscreen D 84 33 31 71 75 66 31 78 57 72 43 63 64 77 64 89 43 52 46 84 76 34 61 45 The hypotheses for this ANOVA test would be: Η 0: μ Αμ Bμ c μ D HA : At least one mean is different. (claim) 0.10 Complete the ANOVA table below: (round answers to 3 decimal places) df MS F p-value Between Within The decision of the test is to: reject Ho do not reject H0
Expert Solution
Step 1

Consider that, µA, µB, µC and µD define the mean lifespan of sunscreen A, B, C, and D, respectively.

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