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 the0.05level of significance. The researcher checks35smokers and finds that they have a mean pulse rate of87, and45non-smokers have a mean pulse rate of83. The standard deviation of the pulse rates is found to be7for smokers and7for non-smokers. Let1be the true mean pulse rate for smokers and2be the true mean pulse rate for non-smokers.

• State the null and alternative hypotheses for the test.
• Compute the value of the test statistic. Round your answer to two decimal places.
• Determine the decision rule for rejecting the null hypothesisH0. Round the numerical portion of your answer to two decimal places.
• Make the decision for the hypothesis test.