Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

question 46

Essay

Preliminary data analyses indicate that you can reasonably consider the assumptions for using pooled t-proceduressatisfied. Perform the required hypothesis test by using either the critical-value approach or the P-value approach asindicated.
-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 for each call were recorded. The summary statistics were as follows: $$\begin{array} { l l l } & \text { Company A } & \text { Company B } \\ \hline \text { Mean response time } & 7.6 \text { minutes } & 6.9 \text { minutes } \\ \text { Standard deviation } & 1.4 \text { minutes } & 1.7 \text { minutes } \end{array}$$ At the 0.02 level of significance, do the data provide sufficient evidence to conclude that the mean response time for company A differs from the mean response time for company B? Use the P-value approach.

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