The County Executive for Monroe County is concerned about theresponse time for t

Question

The County Executive for Monroe County is concerned about theresponse time for the three fire companies in thecounty. Samples of the response times (in minutes) for eachcompany follow. At the 0.05 significance level is there adifference in the mean response time?

     

Youngsville

Northeast

Corry

2.2

2.3

0.9

1.2

1.5

0.8

1.9

1.2

1.1

3.1

1.4

1.2

1.8

2.2

0.7

1.5

        a.   State the null and alternatehypotheses.

        H0:        

       H1:

       b.   State the decision rule.

        c.   Compute the value of the teststatistic.

   d.   What is yourdecision regarding the null hypothesis? Interpret theresult.

Youngsville

Northeast

Corry

2.2

2.3

0.9

1.2

1.5

0.8

1.9

1.2

1.1

3.1

1.4

1.2

1.8

2.2

0.7

1.5

Explanation / Answer

State the null and alternatehypotheses.

        H0: there is no significant difference in the mean response time    

       H1:there is a significant difference in the mean responsetime

State the decisionrule: reject the null hypothesis if p value isless than 0.05

Compute the value of the teststatistic:

the test statistic value is obtained using excel

F calculated value =5.77

What is your decision regardingthe null hypothesis? Interpret theresult

Since the p value is less than0.05 , we reject the null hypotheis and concludethat

there is a significantdifference in the mean response time

One factor ANOVA Mean n Std. Dev 1.95 6 0.660 Youngsville 1.72 5 0.497 Northeast 0.94 5 0.207 Corry 1.56 16 0.648 Total ANOVAtable Source SS    df MS F    p-value Treatment 2.963 2 1.4813 5.77 .0161 Error 3.335 13 0.2565 Total 6.298 15

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