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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.

Solution Preview

See the attached file for complete solution. The text here may not be copied exactly as some of the symbols / tables may not print. Thanks

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.

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