A local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor bank checks the waiting times at both banks. The sample statistics are listed below. Test the local banks claim. Use the information given below. State the null and alternative hypotheses, the significance level, the critical value, the test statistic, the decision and conclusion.

Local Bank Competitor Bank

Sample size n₁= 46 n₂= 50

Average Waiting

time in minutes 2.3 minutes 2.6 minutes

for each sample

Sample standard

Deviation of each S₁ = 1.1 minutes S₂ = 1.0 minutes

Sample