A matched pairs experiment is carried out, yielding the following data: nD=68,x¯

Question

A matched pairs experiment is carried out, yielding the following data:

nD=68,x¯D=1.8,sD=6.3nD=68,x¯D=1.8,sD=6.3

Is there evidence, at an =0.075=0.075 level of significance, to conclude that there is a difference between the two sets of measurements? Carry out an appropriate hypothesis test, filling in the information requested.

A. The value of the standardized test statistic: 

Note: For the next part, your answer should use interval notation. An answer of the form (,a)(,a) is expressed (-infty, a), an answer of the form (b,)(b,) is expressed (b, infty), and an answer of the form (,a)(b,)(,a)(b,) is expressed (-infty, a)U(b, infty).

B. The rejection region for the standardized test statistic: 

C. The p-value is 

D. Your decision for the hypothesis test: 

A. Reject H1H1. 
B. Do Not Reject H0H0. 
C. Reject H0H0. 
D. Do Not Reject H1H1.

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 0
HA : 0

Hypothesis test results:

Hence,

A) Test statistic = 2.474

B) Rejection region: (-infty, -1.8086) U (1.8086, infty)

C) p - Value = 0.0159

D) Reject Ho

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