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

Question

4. A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure by following a particular diet. Use the sample data below to perform all steps for hypothesis testing or construct a 99% confidence interval for µ1 - µ2 where µ 1 and µ2 represent the mean for the treatment group and the control group respectively. Use the following t-distribution table - http://www.itl.nist.gov/div898/handbook/eda/section3/eda3672.htm

Treatment Group                             Control Group

n1 = 85                                                  n2 = 75

189.1                                          = 203.7

s1 = 38.7                                               s2 = 39.2

Solution:

Instructor Comments:

Solution:

Instructor Comments:

Explanation / Answer

We are using t - test because we don't know sigma.

Using minitab:

Two-Sample T-Test and CI

Sample N Mean StDev SE Mean
1 85 189.1 38.7 4.2
2 75 203.7 39.2 4.5

Difference = (1) - (2)
Estimate for difference: -14.60
95% upper bound for difference: -4.38
T-Test of difference = 0 (vs <): T-Value = -2.37 P-Value = 0.0096 DF = 155

Decision : p - value 0.0096 is less than alpha 0.01, Reject Ho equal means!

Interpretation : There is enough evidence to support the claim that Treatment population mean is smaller than Control population mean. This means that diet to reduce blood pressure is effective.

Hope this will help you. Thanks:)

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