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 0.05 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.**

**PLEASE DO NOT ANSWER UNLESS YOU ARE CONFIDENT YOUR
ANSWER WILL BE CORRECT.**

Answer #1

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.

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