Perform the Indicated Hypothesis Test Use a 002 Significance Level to Test the Claim That the Mean

Essay

Perform the indicated hypothesis test. Assume that the two samples are independent simple random samples selected from normally distributed populations. Also assume that the population standard deviations are equal (?1 = ?2), so that the standard error of the difference between means is obtained by pooling the sample variances .
-A researcher was interested in comparing the response times of two different cab companies. Companies A and B were each called at 50 randomly selected times. The calls to company A were made independently of the calls to company B. The response times were recorded and the summary statistics were as follows:
$$\begin{array} { l c c } & \text { Company A } & \text { Company B } \\\hline \text { Mean response time } & 7.6 \mathrm { mins } & 6.9 \mathrm { mins } \\\text { Standard deviation } & 1.4 \mathrm { mins } & 1.7 \mathrm { mins }\end{array}$$
Use a 0.02 significance level to test the claim that the mean response time for company A differs from the mean response time for company B. Use the P-value method of hypothesis testing.