QuestionQuestion 1
A car dealership claims that there is a difference in the mean credit scores of customers who buy cars in the first quarter of the fiscal year and those who buy cards in the last quarter of the fiscal year. The results of a random survey of 298 customers from the first quarter of the fiscal year and 246 customers from the last quarter of the fiscal year are shown below. The two samples are independent. Do the results support the dearlership's claim? Use alpha $=0.05$. \begin{tabular}{|c|c|} \hline First Quarter & Last Quarter \\ \hline$n_{1}=298$ & $n_{2}=246$ \\ \hline $\bar{x}_{1}=561$ & $\bar{x}_{2}=570$ \\ \hline$\sigma_{1}=51$ & $\sigma_{2}=50$ \\ \hline \end{tabular} a. Given the alternative hypothesis, the test is Select an answer $\vee$ b. Determine the test statistic. Round to two decimal places. test statistic $=$ $\square$ c. Find the critical value(s). If there are two, just input the positive critical value. critical value $=$ $\square$ d. Make a decision. Reject the null hypothesis. Fail to reject the null hypothesis.