The table to the right shows the cost per ounce (in dollars) for a random sample of toothpastes exhibiting very good stain removal, good stain removal, and fair stain removal. At a= 0.05, can you conclude that the mean costs per ounce are different? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. Very good stain Good stain Fair stain O removal removal 0.35 removal 0.60 1.32 0.64 0.64 2.66 0.36 0.98 0.44 1.59 0.58 0.37 0.33 0.47 1.39 (a) Identify the claim and state Ho and H. Choose the correct answer below. B. Ho: H =P2 "H3 H: At least one mean is different from the others. (claim) H: At least two means are different from the others. (claim) OC. Ho: H =2 "P3 (claim) OD. Ho: At least one mean is different from the others. (claim) H: At least one mean is different from the others. (b) Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region. The degrees of freedom for the numerator, d.fN. is. and the degrees of freedom for the denominator, d.f.p. is

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
(b) Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region.
The table to the right shows the cost per ounce (in dollars) for a random sample of toothpastes exhibiting very good stain removal, good stain removal, and fair stain removal.
At a = 0.05, can you conclude that the mean costs per ounce are different? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn
from a normal population, that the samples are independent of each other, and that the populations have the same variances.
Fair stain O
Very good
stain
Good
stain
removal
removal
removal
0.35
0.64
0.60
0.64
2.66
1.32
0.36
0.98
0.44
1.59
0.58
0.37
0.33
0.47
1.39
(a) Identify the claim and state Ho and Ha. Choose the correct answer below.
O A. Ho: H1 =H2 = H3 "Ha = Hs =H6
VB. Ho: H = 2 =H3
Ha: At least two means are different from the others. (claim)
Ha: At least one mean is different from the others. (claim)
O D. Ho: At least one mean is different from the others. (claim)
Ha: H1 =H2 =H3 = H4 = H5 = H6
O C. Ho: H1 =2 =H3 (claim)
Ha: At least one mean is different from the others.
(b) Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region.
The degrees of freedom for the numerator, d.f.N, is, and the degrees of freedóm for the denominator, d.f.D, is
Transcribed Image Text:The table to the right shows the cost per ounce (in dollars) for a random sample of toothpastes exhibiting very good stain removal, good stain removal, and fair stain removal. At a = 0.05, can you conclude that the mean costs per ounce are different? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. Fair stain O Very good stain Good stain removal removal removal 0.35 0.64 0.60 0.64 2.66 1.32 0.36 0.98 0.44 1.59 0.58 0.37 0.33 0.47 1.39 (a) Identify the claim and state Ho and Ha. Choose the correct answer below. O A. Ho: H1 =H2 = H3 "Ha = Hs =H6 VB. Ho: H = 2 =H3 Ha: At least two means are different from the others. (claim) Ha: At least one mean is different from the others. (claim) O D. Ho: At least one mean is different from the others. (claim) Ha: H1 =H2 =H3 = H4 = H5 = H6 O C. Ho: H1 =2 =H3 (claim) Ha: At least one mean is different from the others. (b) Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region. The degrees of freedom for the numerator, d.f.N, is, and the degrees of freedóm for the denominator, d.f.D, is
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman