A 3-year study was carried out to see if fluoride toothpaste helps to prevent cavities. The dependent variable was the DMFS increment, the number of new Decayed, Missing, and Filled Surfaces. The table gives summary data. Group Sample Size Mean Standard Deviation Control 260 12.83 8.31 Fluoride 289 9.78 7.51 Is fluoride toothpaste beneficial? Prove this by conducting the appropriate one-sided hypothesis test with a=0.01. (1) Critical Value (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): (3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')

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A 3-year study was carried out to see if fluoride toothpaste helps to prevent cavities. The dependent variable was the DMFS increment, the number of new Decayed,
Missing, and Filled Surfaces. The table gives summary data.
Group
Sample Size
Mean
Standard Deviation
Control
260
12.83
8.31
Fluoride
289
9.78
7.51
Is fluoride toothpaste beneficial? Prove this by conducting the appropriate one-sided hypothesis test with a=0.01.
(1) Critical Value (Round off to 3 decimal places):
(2) Test Statistic (Round off to 2 decimal places):
(3) Conclusion:
(Type 'Reject HO' or 'Fail to Reject HO')
Transcribed Image Text:A 3-year study was carried out to see if fluoride toothpaste helps to prevent cavities. The dependent variable was the DMFS increment, the number of new Decayed, Missing, and Filled Surfaces. The table gives summary data. Group Sample Size Mean Standard Deviation Control 260 12.83 8.31 Fluoride 289 9.78 7.51 Is fluoride toothpaste beneficial? Prove this by conducting the appropriate one-sided hypothesis test with a=0.01. (1) Critical Value (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): (3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')
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