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 bank's 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

SAMPLE SIZE

n1=46

AVERAGE WAITING TIME

X1=2.3mins.

STANDARD DIVIAITION

s1=1.1mins

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Competitor Bank

Sample Size

n2=50

AVERAGE WAITING TIME

X1=2.6mins.

STANDARD DEVIATON

S2=1.0mins.

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 bank's 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.