Question

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

nD=56,x¯D=1.4,sD=7.9nD=56,x¯D=1.4,sD=7.9

Is there evidence, at an ?=0.07?=0.07 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:____________

Answer 1

X?d= 1.4

nd= 56

sd= 7.9

dfd=56-1=55

........two tail test

alpha= 0.07 critical values -1.8479 and + 1.8479

Test Statictics

T= (X?d-u)*sqrt(nd)/sd

=(1.4-0)*sqrt(56)/7.9

=1.32615

P-value=0.190268757

rounded p-value=0.1903

Decision making

P-value >Alpha Fail to Reject H0

.....................

A Test statistics =1.3262

B (??,-1.8479)?(1.8479,?)

C p-value =0.1903

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