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A medical researcher wants to compare the pulse rates of smokers and non-smokers. He believes that...

A medical researcher wants to compare the pulse rates of smokers and non-smokers. He believes that the pulse rate for smokers and non-smokers is different and wants to test this claim at the 0.05 level of significance. A sample of 35 smokers has a mean pulse rate of 87, and a sample of 45 non-smokers has a mean pulse rate of 83. The population standard deviation of the pulse rates is known to be 7 for smokers and 7 for non-smokers. Let 1 μ 1 be the true mean pulse rate for smokers and 2 μ 2 be the true mean pulse rate for non-smokers.

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