Consider the following matched samples representing observations before and after an experiment. Assume that the sample...

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Consider the following matched samples representing observationsbefore and after an experiment. Assume that the sample differencesare normally distributed. Use Table 2.
  Before 2.5 1.8 1.4 -2.9 1.2 -1.9 -3.1 2.5
  After 2.9 3.1 3.9 -1.8 0.2 0.6 -2.5 2.9
Let the difference be defined as Before – After.
a.
Construct the competing hypotheses to determine if theexperiment increases the magnitude of the observations.
H₀:?_D = 0;H_A: ?_D ?0
H₀:?_D ? 0;H_A: ?_D< 0
H₀:?_D ? 0;H_A: ?_D> 0
b-1.
Implement the test at a 5% significance level. (Negativevalue should be indicated by a minus sign. Round all intermediatecalculations to at least 4 decimal places and final answer to 2decimal places.)
  Test statistic
b-2.
What is the p-value?
0.005 < p-value <0.01
0.01 < p-value <0.025
0.025 < p-value <0.05
0.05 < p-value <0.10
0.1 < p-value <0.2
b-3.
What is the conclusion to the hypothesis test?
We (Click to select)rejectdo not reject H₀.At the 5% significance level, We (Click to select)cancannotconclude that the experiment increases the magnitude of theobservations.
c. Do the results change if weimplement the test at a 1% significance level?
Yes
No

Answer & Explanation Solved by verified expert

3.9 Ratings (733 Votes)

By using ExcelBeforeAfterDifferenceD25290418311314392529181112021190625312506252904MeanD098SDD116Mean of the difference is obtained by using See Answer

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Before	2.5	1.8	1.4	-2.9	1.2	-1.9	-3.1	2.5
After	2.9	3.1	3.9	-1.8	0.2	0.6	-2.5	2.9