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 79 smokers has a mean pulse rate of 88, and a sample of non-smokers has a mean pulse rate of 84. The population standard deviation of the pulse rates is known to be 10 for smokers and 9 for non-smokers. Letµ1 be the true mean pulse rate for smokers and µ2 be the true mean pulse rate for non-smokers. a. State the null and alternative hypotheses for the test.
b. Compute the value of the test statistic. Round your answer to two decimal places.
c. Find the p-value associated with the test statistic. Round your answer to four decimal places.
d. Make the decision for the hypothesis test and state your conclusion.