Question

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 0.01 level of significance. The researcher checks 51 smokers and finds that they have a mean pulse rate of 79, and 58 non-smokers have a mean pulse rate of 77. The standard deviation of the pulse rates is found to be 10 for smokers and 8 for non-smokers. Let μ1 be the true mean pulse rate for smokers and μ2 be the true mean pulse rate for non-smokers.

Step 1 of 4 : State the null and alternative hypotheses for the test.

Step 2 of 4 : Compute the value of the test statistic. Round your answer to two decimal places.

Step 3 of 4 : Find the p-value associated with the test statistic. Round your answer to four decimal places.

Step 4 of 4 : Make the decision for the hypothesis test and state your conclusion.

Answer 1