14. A dentist is trying to decide if there is a difference in the number of weeks three different toothbrushes last. Fifteen patients were randomly assigned to three brands of toothbrushes and the number of weeks that the toothbrushes lasted is given. At the 0.05 significance level, is there a difference in the mean length of time the toothbrushes lasted? Brand Weeks of Wear A 4 6. 3 5 4 a. State the null and alternate hypotheses. Hơ 32

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14. A dentist is trying to decide if there is a difference in
the number of weeks three different toothbrushes last.
Fifteen patients were randomly assigned to three
brands of toothbrushes and the number of weeks that
Brand
Weeks of Wear
А
3
4
6.
3
4
B
3
the toothbrushes lasted is given. At the 0.05
5
4
6.
significance level, is there a difference in the mean length of time the toothbrushes lasted?
a.
State the null and alternate hypotheses.
Ho:
Hj:
b. State the decision rule.
c. Compute the value of the test statistic.
с.
Analysis of Variance
Source
DF
SS
MS
Factor
16.93
8.47
Error
12
18.00
1.50
Total
14
34.93
d. What is your decision regarding the null hypothesis? Interpret the result.
Transcribed Image Text:14. A dentist is trying to decide if there is a difference in the number of weeks three different toothbrushes last. Fifteen patients were randomly assigned to three brands of toothbrushes and the number of weeks that Brand Weeks of Wear А 3 4 6. 3 4 B 3 the toothbrushes lasted is given. At the 0.05 5 4 6. significance level, is there a difference in the mean length of time the toothbrushes lasted? a. State the null and alternate hypotheses. Ho: Hj: b. State the decision rule. c. Compute the value of the test statistic. с. Analysis of Variance Source DF SS MS Factor 16.93 8.47 Error 12 18.00 1.50 Total 14 34.93 d. What is your decision regarding the null hypothesis? Interpret the result.
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