The accompanying table shows two samples that were collected as matched pairs. Complete parts (a) through (d) below.
Click the icon to view the data table.
alternative hypotheses. Choose the correct answer below.
A.
H_(0)=mu _(d)<2.0
H_(1)=mu _(d)>=2.0
B. H_(0):mu _(d)<=2.0
H_(1):mu _(d)!=2.0
C. H_(0):mu _(d)<=2.0
H_(1):mu _(d)>20
D. H_(0):mu _(d)!=2.0
H_(1):mu _(d)=20
E. H_(0)=mu _(d)=20
H_(1):mu _(d)!=2.0
F. H_(0):mu _(d)<=2.0
H_(1):mu _(d)<2.0
B. Calculate the appropriate test statistic and interpret the results of the hypothesis test using alpha =0.05.
The test statistic is (Round to two decimal places as needed.)
The critical value(s) is(are)
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Interpret the results of the hypothesis test.
C. Identify the p-value and interpret the result.
p-value = (Round to three decimal places as needed.)
Interpret the result.
Since the p-value is less than the significance level, reject the null hypothesis. There is evidence that the mean of Sample 1 is 2.0 units higher than the mean of Sample 2.
D. What assumptions need to be made in order to perform this procedure?
Data Table
able[[Pair,Sample 1,Sample 2],[1,6,6],[2,4,1],[3,8,8],[4,9,6],[5,11,2],[6,7,7],[7,8,1],[8,7,4]]