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Determine the Decision Criterion for Rejecting the Null Hypothesis in the Given

Question 79

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Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis
-We wish to compare the means of two populations using paired observations. Suppose that dˉ=3.125, Sd=\bar { d } = 3.125 , \mathrm {~S} _ { \mathrm { d } } = 2.9112.911 , and n=8\mathrm { n } = 8 , and that you wish to test the following hypothesis at the 5 percent level of significance:
H0:μd=0 against H1:μd>0\mathrm { H } _ { 0 } : \mu _ { \mathrm { d } } = 0 \text { against } \mathrm { H } _ { 1 } : \boldsymbol { \mu } _ { \mathrm { d } } > 0 \text {. }
What decision rule would you use?


A) Reject H0\mathrm { H } _ { 0 } if test statistic is greater than 1.895- 1.895 and less than 1.8951.895 .
B) Reject H0\mathrm { H } _ { 0 } if test statistic is less than 1.8951.895 .
C) Reject H0\mathrm { H } _ { 0 } if test statistic is greater than 1.8951.895 .
D) Reject H0\mathrm { H } _ { 0 } if test statistic is greater than 1.895- 1.895 .

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