(Solved): A medical researcher wants to compare the pulse rates of smokers and non-smokers. He believes that ...

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 75 smokers has a mean pulse rate of 81 , and a sample of 81 non-smokers has a mean pulse rate of 79 . The population standard deviation of the pulse rates is known to be 5 for smokers and 5 for nonsmokers. Let \( \mu_{1} \) be the true mean pulse rate for smokers and \( \mu_{2} \) be the true mean pulse rate for non-smokers. Step 1 of 5 : State the null and alternative hypotheses for the test. Answer 2 Points Keyboard 5hortcuts \( \begin{array}{ll}H_{0}: \mu_{1}-\mu_{2} & 0 \\ H_{a}: \mu_{1}-\mu_{2} & 0\end{array} \) 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 75 smokers has a mean puise rate of 81 , and a sample of 81 non-5mokers has a mean pulse rate of 79 . The population standard deviation of the pulse rates is known to be 5 for smokers and 5 for nonsmokers. Let \( \mu_{1} \) be the true mean pulse rate for smokers and \( \mu_{2} \) be the true mean pulse rate for non-smokers. Step 2 of 5: Compute the value of the test statistic. Round your answer to two decimal places. 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 75 smokers has a mean pulse rate of 81 , and a sample of 81 non-smokers has a mean pulse rate of 79. The population standard deviation of the pulse rates is known to be 5 for smokers and 5 for nonsmokers. Let \( \mu_{1} \) be the true mean pulse rate for smokers and \( \mu_{2} \) be the true mean pulse rate for non-smokers. Step 3 of 5 : Find the p.value associated with the test statistic. Round your answer to four decimal places. Answerhow to inter your anower cogens in new window) 2. Points A medical researcher wants to compare the pulse rates of smokers and non-5mokers. 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 75 smokers has a mean pulse rate of 81 , and a sample of 81 non-smokers has a mean pulse rate of 79. The population standard devlation of the pulse rates is known to be 5 for smokers and 5 for nonsmokers. Let \( \mu_{1} \) be the true mean pulse rate for smokers and \( \mu_{2} \) be the true mean pulse rate for non-smokers. Step 4 of 5: Make the decision for the hypothesis test. Answer 2 Points Keyboard Shortcuts Reject Null Hypothesis Fail to Reject Null Hypothesis 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 75 smokers has a mean pulse rate of 81 , and a sample of 81 non-smokers has a mean pulse rate of 79 . The population standard deviation of the pulse rates is known to be 5 for smokers and 5 for nonsmokers. Let \( \mu_{1} \) be the true mean pulse rate for smokers and \( \mu_{2} \) be the true mean pulse rate for non-smokers. Step 5 of 5: State the conclusion of the hypothesis test. Answer 2 Points Keyboard Shortcuts There is sufficient evidence to support the claim that the mean pulse rate for smokers and non-smokers is different.