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

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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(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
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