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. stain stain removal removal removal 0.64 2.66 0.35 0.60 0.64 1.32 0.36 1.59 0.98 0.58 0.44 0.37 0.33 0.47 1.39 (a) Identify the claim and state Ho and H. Choose the correct answer below. O A. Ho: H1 =H2 = H3 "H4 =H5 = H6 B. Ho: "P =P3 H: At least two means are different from the others. (claim) H: At least one mean is different from the others. (claim) O D. Ho: At least one mean is different from the others. (claim) OC. Ho: H1 =H2 = H3 (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.f.N, is 2, and the degrees of freedom for the denominator, d.f.p. is 12. The critical value is Fo = (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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The critical value is Fo
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
Very good Good
stain
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 H. Choose the correct answer below.
O A. Ho: H1 =2 = H3 = H4 " Hs =H6
B. Ho: =H2 =P3
Ha: At least two means are different from the others. (claim)
Ha: At least one mean is different from the others. (claim)
OC. Ho: H1 =2 =H3 (claim)
O D. 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.f.N, is 2, and the degrees of freedom for the denominator, d.f.n. is 12
The critical value is Fo =
(Round to two decimal places as needed.)
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 Very good Good stain 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 H. Choose the correct answer below. O A. Ho: H1 =2 = H3 = H4 " Hs =H6 B. Ho: =H2 =P3 Ha: At least two means are different from the others. (claim) Ha: At least one mean is different from the others. (claim) OC. Ho: H1 =2 =H3 (claim) O D. 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.f.N, is 2, and the degrees of freedom for the denominator, d.f.n. is 12 The critical value is Fo = (Round to two decimal places as needed.)
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