A matched pairs experiment is carried out, yielding the following data: nD=70,x¯

Question

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

nD=70,x¯D=1,sD=9.6

Is there evidence, at an =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) is expressed (-infty, a), an answer of the form (b,) is expressed (b, infty), and an answer of the form (,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 H0. B. Do Not Reject H1. C. Reject H1. D. Do Not Reject H0.

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) Standardized test statistic = -0.8715

B) Rejection region:

(-infty, -1.8078) U (1.8078, infty)

C) Do not reject Ho

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