Math  /  Data & Statistics

QuestionListed in the accompanying table are waiting times (seconds) of observed cars at a Delaware inspection station. The data from two waiting lines are real observations, and the data from the single waiting line are modeled from those real observations. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b).
Click the icon to view the waiting times. are the null and alternative hypotheses? A. H0:μ1<μ2H_{0}: \mu_{1}<\mu_{2} H1:μ1=μ2H_{1}: \mu_{1}=\mu_{2} C. H0:μ1=μ2H_{0}: \mu_{1}=\mu_{2} H1:μ1μ2H_{1}: \mu_{1} \neq \mu_{2}
Calculate the test statistic. t=\mathrm{t}=\square (Round to two decimal places as need Waiting Times \begin{tabular}{|cc|cc|} \hline \multicolumn{2}{c|}{ One Line } & \multicolumn{2}{c|}{ Two Lines } \\ \hline 63.5 & 734.1 & 64.2 & 864.6 \\ 156.5 & 606.2 & 215.8 & 1089.7 \\ 141.8 & 268.4 & 85.7 & 662.6 \\ 278.9 & 310.2 & 339.8 & 517.8 \\ 252.5 & 128.6 & 199.7 & 565.9 \\ 476.1 & 132.7 & 629.5 & 268.1 \\ 477.6 & 121.7 & 332.6 & 349.7 \\ 473.6 & 128.7 & 328.6 & 94.6 \\ 401.5 & 233.1 & 914.7 & 99.9 \\ 722.3 & 460.9 & 553.3 & 162.8 \\ 760.7 & 482.1 & 596.8 & 100.5 \\ 691.9 & 518.1 & & \\ 837.2 & 508.9 & & \\ 902.7 & 579.6 & & \\ & & & \\ \hline \end{tabular}

Studdy Solution
Substitute the calculated means, variances, and sample sizes into the test statistic formula to find t t .
The calculated test statistic is:
t=(calculated value rounded to two decimal places) t = \boxed{\text{(calculated value rounded to two decimal places)}}

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