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 43 66 64 49 90 80 51 74 40 57 44 83 87 74 63 43 43 31 49 84 58 57 64 68 The hypotheses for this ANOVA test would be: Η 0: μ Αμ Bμσ μ p HA : At least one mean is different. (claim) α 0.05 Complete the ANOVA table below: (round answers to 3 decimal places) df MS F p-value Between 368.5 3 122.8333 0.410311 0.747339 Within 5987.333 20 299.8667 The decision of the test is to: reject Ho • do not reject Ho
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 43 66 64 49 90 80 51 74 40 57 44 83 87 74 63 43 43 31 49 84 58 57 64 68 The hypotheses for this ANOVA test would be: Η 0: μ Αμ Bμσ μ p HA : At least one mean is different. (claim) α 0.05 Complete the ANOVA table below: (round answers to 3 decimal places) df MS F p-value Between 368.5 3 122.8333 0.410311 0.747339 Within 5987.333 20 299.8667 The decision of the test is to: reject Ho • do not reject Ho
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
43
66
64
49
90
80
51
74
40
57
44
83
87
74
63
43
43
31
49
84
58
57
64
68
The hypotheses for this ANOVA test would be:
Η 0: μ Αμ Bμσ μ p
HA : At least one mean is different. (claim)
α 0.05
Complete the ANOVA table below: (round answers to 3
decimal places)
df
MS
F
p-value
Between
368.5
3
122.8333
0.410311
0.747339
Within
5987.333
20
299.8667
The decision of the test is to:
reject Ho
• do not reject Ho](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F969d96d2-01e9-4872-bf96-ee1f42578560%2F729e08b5-e4fe-4657-8857-b5e4d3442e0f%2Flgm4gau.jpeg&w=3840&q=75)
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
43
66
64
49
90
80
51
74
40
57
44
83
87
74
63
43
43
31
49
84
58
57
64
68
The hypotheses for this ANOVA test would be:
Η 0: μ Αμ Bμσ μ p
HA : At least one mean is different. (claim)
α 0.05
Complete the ANOVA table below: (round answers to 3
decimal places)
df
MS
F
p-value
Between
368.5
3
122.8333
0.410311
0.747339
Within
5987.333
20
299.8667
The decision of the test is to:
reject Ho
• do not reject Ho
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