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
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
Related questions
Topic Video
Question
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage