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 74 smokers has a mean pulse rate of 86, and a sample of 56 non-smokers has a mean pulse rate of 85. The population standard deviation of the pulse rates is known to be 6 for smokers and 10 for non-smokers. Let ?1 be the true mean pulse rate for smokers and ?2 be the true mean pulse rate for non-smokers. Step 1 of 5:State the null and alternative hypotheses for the test.
Step 2 of 5: Compute the value of the test statistic. Round your answer to two decimal places.
Step 3 of 5: Find the p-value associated with the test statistic. Round your answer to four decimal places.
Step 4 of 5 : reject or fail to reject null hypothesis
Step 5 of 5:State the conclusion of the hypothesis test.
a. There is sufficient evidence to support the claim that the mean pulse rate for smokers and non-smokers is different.
b. There is not sufficient evidence to support the claim that the mean pulse rate for smokers and non-smokers is different.