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 44 smokers and finds that they have a mean pulse rate of 85, and 37 non-smokers have a mean pulse rate of 83. The standard deviation of the pulse rates is found to be 9 for smokers and 6 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 2 of 4: Compute the value of the test statistic. Round your answer to two decimal places.
Added by Amanda J.
Step 1
Step 1: Calculate the sample mean difference: \( \bar{x}_1 = 85 \) (mean pulse rate for smokers) \( \bar{x}_2 = 83 \) (mean pulse rate for non-smokers) Sample mean difference = \( \bar{x}_1 - \bar{x}_2 = 85 - 83 = 2 \) Show more…
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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. A sample of 70 smokers has a mean pulse rate of 75, and a sample of 8282 non-smokers has a mean pulse rate of 71. The population standard deviation of the pulse rates is known to be 88 for smokers and 99 for non-smokers. Let μ1 be the true mean pulse rate for smokers and μ2μ2 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. 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.
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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. The researcher checks 35 smokers and finds that they have a mean pulse rate of 87, and 45 non-smokers have a mean pulse rate of 83. The standard deviation of the pulse rates is found to be 77 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 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: Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of your answer to two decimal places. Step 4 of 4: Make the decision for the hypothesis test.
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