The table to the right shows the cost per ounce (in dollars) fora 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 Good Fair stain stain stain removal removal removal 0.35 0.64 0.64 0.60 2.66 1.32 0.36 1.59 0.37 0.98 0.58 0.33 1.39 0.44 0.47 (a) Identify the claim and state Ho and H. Choose the corret answer below. O A. Ho: H1 =2"H3 "HeHs "H6 B. Ho: HFP2 P3 H: At least two means are different from the others. (claim) H: At least one mean is different from the others. (claim) OC. Ho: H1 "2 "Ps (claim) H: At least one mean is different from the others. OD. Ho: At least one mean is different from the others. (ciaim) H 2 " "H "s "He (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 2, and the degrees of freedom for the denominator, d.f.p. is 12. The critical value is Fo= 3.89 . (Round to two decimal places as needed.) The rejection region is F > 3.89. (Round to two decimal places as needed.) (c) Calculate the test statistic. F-0 (Round to three decimal places as needed.)
The table to the right shows the cost per ounce (in dollars) fora 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 Good Fair stain stain stain removal removal removal 0.35 0.64 0.64 0.60 2.66 1.32 0.36 1.59 0.37 0.98 0.58 0.33 1.39 0.44 0.47 (a) Identify the claim and state Ho and H. Choose the corret answer below. O A. Ho: H1 =2"H3 "HeHs "H6 B. Ho: HFP2 P3 H: At least two means are different from the others. (claim) H: At least one mean is different from the others. (claim) OC. Ho: H1 "2 "Ps (claim) H: At least one mean is different from the others. OD. Ho: At least one mean is different from the others. (ciaim) H 2 " "H "s "He (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 2, and the degrees of freedom for the denominator, d.f.p. is 12. The critical value is Fo= 3.89 . (Round to two decimal places as needed.) The rejection region is F > 3.89. (Round to two decimal places as needed.) (c) Calculate the test statistic. F-0 (Round to three decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 4CYU
Related questions
Question
(c) Calculate the test statistic.
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
from a normal population, that the samples are independent of each other, and that the populations have the same variances.
Very good
stain
Good
Fair stainD
drawn
stain
removal
removal
removal
0.64
0.35
0.60
0.64
2.66
1.32
0.36
0.98
0.58
0.33
0.44
1.59
0.37
0.47
1.39
(a) Identify the claim and state Ho and H. Choose the correct answer below.
O A. Ho: H1 =H2 =H3 =Ha H =H6
H: At least two means are different from the others. (claim)
B. Ho: H1 = 2 =H3
Ha: At least one mean is
different from the others. (claim)
OC. Ho: H1 =2 =H3 (claim)
H: At least one mean is different from the others.
O D. Ho: At least one mean is different from the others. (claim)
Ha: H = H2 =H3 = H4 = Hs = H6
(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 2. and the degrees of freedom for the denominator, d.f.p. is 12 .
The critical value is Fo = 3.89.
(Round to two decimal places as needed.)
The rejection region is F > 3.89
.
(Round to two decimal places as needed.)
(c) Calculate the test statistic.
F=O
(Round to three decimal places as needed.)
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