Two Means - Unknown, Unequal Variance: Videos & Practice Problems

A customer experience analyst claims that the average wait times at two different coffee shop locations are the same. A sample of $12$ customers at one location reported an average wait time of $5.8$ minutes with a standard deviation of $1.6$ minutes. A sample of $14$ customers at another location reported an average wait time of $6.4$ minutes with a standard deviation of $1.2$ minutes. At $\alpha =0.05$, can you reject the analyst’s claim? Assume the population wait time distributions are approximately normal and the population variances are equal.