. A medical researcher wishes to see whether the pulse rate of smokers are higher than the pulse rates of non-smokers. Samples of 100 smokers and 100 nonsmokers are selected. The results are shown below. Can the researcher conclude at an alpha = 0.05, that smokers have higher pulse rates than nonsmokers?
Smokers |
Non-Smokers |
Mean = 90 |
Mean = 88 |
Standard Deviation = 5 |
Standard Deviation = 6 |
Hypotheses for the test is given below:
Let µ_{1} is the mean pulse rate for smokers and µ_{2} is the mean pulse rate for nonsmokers.
Test statistic for t-test:
Since population standard deviations are unknown, the appropriate test is two sample t-test.
Here, the sample means for smokers and nonsmokers are 90 and 88 respectively.
Sample standard deviations of smokers and nonsmokers are 5 and 6 respectively.
The sample sizes of smokers and nonsmokers are 100 and 100 respectively.
The pooled standard deviation can be calculated as follows:
The test statistic for t-test is c...
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