Question

# 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 72 smokers has a mean pulse rate of 75, and a sample of 81 non-smokers has a mean pulse rate of 72. The population standard deviation of the pulse rates is known to be 6 for smokers and 9 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: Reject Null Hypothesis or Fail to Reject Null Hypothesis

Step 5 of 5 : State the conclusion of the hypothesis test: There is sufficient evidence to support the claim or There is not sufficient evidence to support the claim.

Since , the population standard deviations are known.

Therefore , use Z-test for testing two means.

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 :

Hypothesis: Vs

Step 2 of 5 :

The test statistic is ,

Step 3 of 5 :

The p-value is ,

p-value=

; From standard normal distribution table

Step 4 of 5 :

Decision : Here , p-value=0.0142< 0.05

Therefore , reject Ho.

Step 5 of 5 :

Conclusion : There is sufficient evidence to support the claim that the pulse rate for smokers and non-smokers is different.

#### Earn Coins

Coins can be redeemed for fabulous gifts.