Perform the Indicated Hypothesis Test $$\alpha = 0.05$$

Essay

Perform the indicated hypothesis test. Be sure to do the following: identify the claim and state the null and alternative
hypotheses. Determine the critical value and rejection region. Calculate the test statistic. Decide to reject or to fail to
reject the null hypothesis and interpret the decision in the context of the original claim. Assume that the samples are
independent and that each population has a normal distribution.
-A local bank has the reputation of having a variance in waiting times as low as that of any bank in the area. A
competitor bank in the area checks the waiting time at both banks and claims that its variance of waiting times
is lower than at the local bank. The sample statistics are listed below. Test the competitorʹs claim. Use $$\alpha = 0.05$$ $\begin{array}{llcc} \text { Local Bank } & \text {Competitor Bank } \\ \text { \(\mathrm{n}_{1}=13\) } & \text { \(\mathrm{n}_{2}=16\)} \\\\ \text { \(s _1=1.69 \text {minutes}\) } & \text { \(s_2=1.43\text { minutes }\) } \\\end{array}$