An investigator wishes to determine if sitting upright in a chair versus lying d

Question

An investigator wishes to determine if sitting upright in a chair versus lying down on a bed will affect a persons blood pressure. The investigator decides to use each of 10 patients as his or her own control and collects systolic blood pressure data in both the sitting and lying down positions, as given in the table below. Table 8.1. Effect of position on level of blood pressure (mm Hg). Patient, Sitting upright, Lying down 1, 142, 154 2, 100, 106 3, 112, 110 4, 92, 100 5, 104, 112 6, 100, 100 7, 108, 120 8, 94, 90 9, 104, 104 10, 98, 114 (A) Does this design constitute a paired or unpaired situation? On what basis did you make your decision? (B) What are the critical values for the difference in blood pressure on the t-score scale? (C) Compute the p-value for a 2-tailed hypothesis test with alpha=.05

Explanation / Answer

(A) Does this design constitute a paired or unpaired situation? On what basis did you make your decision?

Solution:

This design constitutes a paired situation because we take the readings for the same person as he or she sitting upright or lying down.

(B) What are the critical values for the difference in blood pressure on the t-score scale?

Solution:

Critical values by using t table given as below:

Lower Critical Value =

-2.2622

Upper Critical Value =

2.2622

(C) Compute the p-value for a 2-tailed hypothesis test with alpha=.05

Solution:

P-value by using t table is given as below:

p-Value =

0.0283

Reject the null hypothesis

Lower Critical Value =

-2.2622

Upper Critical Value =

2.2622

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