Question

A medical researcher wishes to see whether the pulse rate of smokers are higher than the pulse rates of non-smokers. Samples of 100 smokers and 100 nonsmokers are selected. The results are shown below. Can the researcher conclude at an alpha = 0.05, that smokers have higher pulse rates than nonsmokers? (20 points)

SmokersNon.                    Smokers
Mean= 90 b.                       Mean = 88
Standard Deviation = 5.   Standard Deviation = 6

Answer 1

Given data:

	Smoker	Nonsmoker
Mean	90	88
Standard Deviation	5	6
	n1=100	n2=100

Hypothesis :

Sample standard deviation :

Test statistics :

P value :Is the value of the lowets level of singnificance at which we could reject the Null hypothesis H0
Using P value approch ,we reject the null hypothesis

Using Excel syntax

P value =TDIST(2.561,198,1)

P value =0.0056 <0.05

Conclusion :

Since P value 0.0056 <0.05 we reject the Null hypothesis ,result is significant ,The data clearly support the claim that smoker have a higher rate than nonsmoker on average