A medical researcher wants to compare the pulse rates of smokers and non-smokers. He believes that the pulse rate for smokers is larger than non-smokers. To test his claim, he selects a random sample of 20 smokers and found that their mean pulse rate is 76, and he also selects another sample of 20 non-smokers randomly and found that their mean pulse rate is 72. Based on past experience, the standard deviation of the pulse rates is known to be 9 for smokers and 10 for non-smokers. Test the researcher's claim at 6% level of significance.

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A medical researcher wants to compare the pulse rates of smokers and non-smokers.
He believes that the pulse rate for smokers is larger than non-smokers. To test his claim,
he selects a random sample of 20 smokers and found that their mean pulse rate is 76,
and he also selects another sample of 20 non-smokers randomly and found that their
mean pulse rate is 72. Based on past experience, the standard deviation of the pulse
rates is known to be 9 for smokers and 10 for non-smokers. Test the researcher's claim
at 6% level of significance.
Transcribed Image Text:A medical researcher wants to compare the pulse rates of smokers and non-smokers. He believes that the pulse rate for smokers is larger than non-smokers. To test his claim, he selects a random sample of 20 smokers and found that their mean pulse rate is 76, and he also selects another sample of 20 non-smokers randomly and found that their mean pulse rate is 72. Based on past experience, the standard deviation of the pulse rates is known to be 9 for smokers and 10 for non-smokers. Test the researcher's claim at 6% level of significance.
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