# Two sample difference of mean - hypothesis testing

A reasearcher 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 test the claim that the treatment population mean is smaller than the control population.

Treatment group

n=90

sample average (x-bar)=168.1

sample standard deviation= 28.7

Control group

n=75

sample average(x-bar)=185.7

sample standard deviation=9.2

a. formulate the hypothesis

b.test the hypothesis and draw a conclusion(show work giving critical and test values of z and state your conclusion.

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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 test the claim that the treatment population mean is smaller than the control population.

Treatment Group Control Group

Number of observations (n) 90 75

Mean 168.100 185.700

Standard ...

#### Solution Summary

This posts presents hypothesis testing for difference in mean for two populations. An easy step-by-step method is presented from writing hypothesis statement to identifying the appropriate test, calculating the test statistics and making inferences.