A medium size grocery store runs its business 5 days a week for 8 hours each day. The store has two counters and currently Emma and Sophia are working at the counters. On a randomly selected day, he found that Emma served 50 customers at the counter with mean service time of 4 minutes and a standard deviation of 3 minutes, Sophia served 45 customers with mean service time of 4.2 minutes and a standard deviation of 3.1 minutes. Find 90% confidence interval for the difference between mean service time of Emma and Sophia. Assume unequal variances.
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