A Local Bank Claims That the Waiting Time for Its $\alpha$

question 100

Essay

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. Test the local bankʹs claim using α $\alpha$ = 0.05. Assume the two
samples are random and independent.
$\begin{array} { l l }\text {Local Bank}&\text {Competitor Bank}\\ \mathrm { n } _ { 1 } = 45 & \mathrm { n } _ { 2 } = 50 \\ \overline { \mathrm { x } } 1 = 5.6 \text { minutes } & \overline { \mathrm { x } } 2 = 5.9 \text { minutes } \\ \sigma _ { 1 } = 1.1 \text { minutes } & \sigma _ { 2 } = 1.0 \text { minute } \end{array}$

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Definitions:

Effectiveness

The degree to which a method, intervention, or action achieves its intended outcome or result.

Stimulus Control

The process by which behaviors are increased or decreased in the presence of specific stimuli, indicating that those stimuli have control over the occurrence of those behaviors.

Antecedent Stimuli

Environmental cues or events that occur before a behavior, which can trigger or influence the occurrence of that behavior.

Occurrence

The fact or frequency of something happening; an event or incident.