### Bank Branch Waiting Time Analysis**Scenario:**A bank with branches located in a commercial district and a residential area aims to improve customer service during the noon-to-1 P.M. lunch period. The current study focuses on waiting times, defined as the number of minutes from when a customer enters the line until reaching the teller. Data are collected from a random sample of 15 customers at each branch.**Objective:**Determine if there's a significant difference in mean waiting times between the two branches with a significance level ($\alpha$) of 0.1.**Hypothesis Testing:**- Let $\mu_1$ be the mean waiting time at the commercial district branch.- Let $\mu_2$ be the mean waiting time at the residential area branch.**Hypotheses:**A. $H_0: \mu_1 = \mu_2$ (Null Hypothesis) $H_1: \mu_1 \neq \mu_2$ (Alternative Hypothesis)**Task:**Determine the test statistic ($t_{STAT}$), rounded to two decimal places.> **Note:** The correct answer is option A, as indicated by the selected green dot. No data or calculation is provided for the test statistic. ### Commercial and Residential DataThis table displays data comparing commercial and residential metrics. The values represent specific measurements for each category.#### Commercial- 4.27- 5.28- 3.02- 5.02- 4.62- 2.72- 3.74- 3.11- 4.74- 6.23- 0.48- 5.03- 6.59- 6.01- 3.76#### Residential- 9.61- 5.96- 8.01- 5.79- 8.52- 3.69- 8.19- 8.33- 10.72- 6.96- 5.74- 4.11- 6.22- 9.78- 5.29There are no accompanying graphs or diagrams in this image. This tabulated data can be useful for analyzing trends and patterns between commercial and residential sectors.

The random variable is waiting time. There are two independent samples which are commercial and residential. We have to test whether there is a difference in the mean waiting time between the two branches or not. This is two sample t-test with unequal variances.EXCEL (Data Analysis) Procedure: Step 1: In EXCEL sheet, enter Commercial in one column and enter Residential in one column. Step 2: In Data, select Data Analysis and choose t test: Two-Sample Assuming Unequal Variances. Step 3: In Input Variable 1 Range: select Commercial. Step 4: In Input Variable 2 Range: select Residential. Step 5: Select Lables. Click Ok. EXCEL (Data Analysis) output:The value of the test statistic is tSTAT=-4.16. p-value = 0.0003. Conclusion: Since p-value (=0.0003) ≤α(=0.1), then reject the null hypothesis. There is sufficient evidence to support the claim that there is a difference in the mean waiting time between the two branches.