In: Statistics and Probability
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 52 smokers has a mean pulse rate of 78, and a sample of 64 non-smokers has a mean pulse rate of 74. The population standard deviation of the pulse rates is known to be 88 for smokers and 77 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 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:
Make the decision for the hypothesis test.
Step 5 of 5:
State the conclusion of the hypothesis test.