A matched pairs experiment is carried out, yielding the following data: nD=71,x¯

Question

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

nD=71,x¯D=1.8,sD=7.5

s there evidence, at an =0.045 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 H1. B. Do Not Reject H1. C. Do Not Reject H0. D. 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 = -2.0223

B) Rejection region:

(-infty, -2.0412) U (2.0412, infty)

C) P - value = 0.047

D) Do not reject Ho

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