A researcher wishes to determine whether people with high blood pressure can red

Question

A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure, measured in mm Hg, by following a particular diet. to test the claim, she conducts controlled experiment with the following data.

Treatment group
n1= 101
x1= 120.5
s1= 17.4

Control group
n2= 105
x2= 149.3
s2= 30.2

use this data and a significance level of 0.01 to test the claim that the treatment group is from a population with a smaller mean than the control group.

A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure, measured in mm Ho, by following a pancular diet To test clam, she conducts controlled experiment with the following data Treatment Group Sentrol Group 205 x 2 148.3 174 Use the data and a signticance level of a 01 to test he clam that treatment group from a populaton wiha smaller mesn than the control group.

Explanation / Answer

Observed difference (Sample 1 - Sample 2): -28.8
Standard Deviation of Difference : 3.4181

Pooled Standard Deviation: 24.7664
Pooled DF: 204

T-Value -8.3436

since t-value is much less than t-critical = -2.575

we reject the null hypothesis and conclude that

the treatment group is from a population with a smaller mean than the control group.

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