# .    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 = 90Mean = 88Standard Deviation = 5Standard Deviation = 6

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.    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

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Step 1

Hypotheses for the test is given below:

Let µ1 is the mean pulse rate for smokers and µ2 is the mean pulse rate for nonsmokers.

Step 2

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:

Step 3

The test statistic for t-test is c...

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