A Local Restaurant Claims That the Variance of Waiting Time

question 6

Essay

A local restaurant claims that the variance of waiting time for its patrons to be served is the lowest in the area.A competitor restaurant checks the waiting time at both restaurants. The sample statistics are listed below. Testthe local restaurantʹs hypothesis. Use α = 0.05. $$\begin{array} { l l } \text { Local Restaurant } & \text { Competitor Restaurant } \\\mathrm { n } _ { 1 } = 41 & \mathrm { n } _ { 2 } = 61 \\\mathrm {~s} _ { 1 } = 1.43 \text { minutes } & \mathrm { s } _ { 2 } = 2.6 \text { minutes }\end{array}$$ Assume the samples were randomly selected from normal populations.

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Definitions:

Unconditioned Response

An instinctive response to a stimulus that happens automatically, without the need for prior learning or conditioning.

Reflexes

are involuntary and nearly instantaneous movements in response to stimuli, which demonstrate the functioning of the nervous system.

Fixed-ratio Schedule

A reinforcement schedule in operant conditioning where a response is rewarded only after a specified number of responses, promoting a high and steady response rate.

Variable-interval Schedule

A reinforcement schedule in which a response is rewarded after an unpredictable amount of time has passed, which is used in operant conditioning.