2 A researcher was interested in compering the response times of two different c

Question

2 A researcher was interested in compering the response times of two different cab companies. Companies A and B were each called at 50 randomly selected times. The calls were recorded and summary statistics were as follows. Use a 0.02 significance level to fest the claim that the mean response ti response time for company B tocompany A were made independently of the calls to company B. The response times me for company A differs from the mean COMPANY A COMPANY B MEAN RESPONSE TIME 76 minutes 69 minutes n STANDARD DEVIATION 14 minutes17 minutes Sta Test Statistic .311 1,72 30 +50 un Critical Value(s) or P-Value Crihcal valve 2,403 Graph with test statistic and critical value marked clearly Circle One: Reject Ho Fail to Reject Ho Conclusion There is not Sufficient eviden to warrant reechn of the clain the mean respnse time for componuy A that diffirs fron the mean respon hmefe company

Explanation / Answer

H0 : mu1 = mu2
Ha : mu1 not equals to mu2

t = ( x1 -x2)/sqrt(s1^2/n1 +s2^2/n2)
= ( 7.6 - 6.9)/sqrt(1.4^2/50 + 1.7^2/50)
= 2.25

p value = 0.027

Critical value = +/-2.403

Fail to reject H0

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