study on the effect of an oral rinse on plaque buildup on teeth, sixteen people whose teeth were thoroughly cleaned and polished were randomly assigned to two groups of eight subjects each. Both groups were assigned to use oral rinses (no brushing) for a 2-we od. Group 1 used a rinse that contained an antiplaque agent. Group 2, the control group, received a similar rinse except that the rinse contained no antiplaque agent. A measure of plaque buildup was recorded at 14 days with means and standard deviations for the groups shown in the table. Control Group Antiplaque Group Sample Size Mean 1.22 0.77 Standard Deviation 0.33 0.33 IA USE SALT State the null and alternative hypotheses that should be used to test the effectiveness of the antiplaque oral rinse. O Ho: (H, - H2) = 0 versus H,: (4, - 42) < 0 O Ho: (H, - H2) = 0 versus H: (4, - H2) = 0 O Ho: (H, - H2) 0 O Ho: (H, - H2) = 0 versus H,: (H, - H2) > 0 O Ho: (H, - 42) = 0 versus H: (H, - H2) = 0 Do the data provide sufficient evidence to indicate that the oral antiplaque rinse is effective? Test using a = 0.05. State the test statistic. (Round your answer t = -2.727 three decimal places.) State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t > NONE ts -1.761
study on the effect of an oral rinse on plaque buildup on teeth, sixteen people whose teeth were thoroughly cleaned and polished were randomly assigned to two groups of eight subjects each. Both groups were assigned to use oral rinses (no brushing) for a 2-we od. Group 1 used a rinse that contained an antiplaque agent. Group 2, the control group, received a similar rinse except that the rinse contained no antiplaque agent. A measure of plaque buildup was recorded at 14 days with means and standard deviations for the groups shown in the table. Control Group Antiplaque Group Sample Size Mean 1.22 0.77 Standard Deviation 0.33 0.33 IA USE SALT State the null and alternative hypotheses that should be used to test the effectiveness of the antiplaque oral rinse. O Ho: (H, - H2) = 0 versus H,: (4, - 42) < 0 O Ho: (H, - H2) = 0 versus H: (4, - H2) = 0 O Ho: (H, - H2) 0 O Ho: (H, - H2) = 0 versus H,: (H, - H2) > 0 O Ho: (H, - 42) = 0 versus H: (H, - H2) = 0 Do the data provide sufficient evidence to indicate that the oral antiplaque rinse is effective? Test using a = 0.05. State the test statistic. (Round your answer t = -2.727 three decimal places.) State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t > NONE ts -1.761
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:In a study on the effect of an oral rinse on plaque buildup on teeth, sixteen people whose teeth were thoroughly cleaned and polished were randomly assigned to two groups of eight subjects each. Both groups were assigned to use oral rinses (no brushing) for a 2-week
period. Group 1 used a rinse that contained an antiplaque agent. Group 2, the control group, received a similar rinse except that the rinse contained no antiplaque agent. A measure of plaque buildup was recorded at 14 days with means and standard deviations for the
two groups shown in the table.
Control Group
Antiplaque Group
Sample Size
8
8.
Mean
1.22
0.77
Standard Deviation
0.33
0.33
n USE SALT
(a) State the null and alternative hypotheses that should be used to test the effectiveness of the antiplaque oral rinse.
O Ho: (H, - H2) = 0 versus H: (, - H2) < 0
O Ho: (H, - H2) = 0 versus H: (u, - µ2) = 0
O Ho: (H1 - H2) < 0 versus H,: (H, - H2) > 0
O Ho: (H1 - H2) = 0 versus H,: (H, - H2) > 0
O Ho: (H1 - H2) = 0 versus H.: (4, - H2) # 0
(b) Do the data provide sufficient evidence to indicate that the oral antiplaque rinse is effective? Test using a = 0.05.
State the test statistic. (Round your answer to three decimal places.)
t = -2.727
State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)
t > NONE
t < -1.761
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