A Random Sample of 49 Lunch Customers Was Taken at a Restaurant

question 32

Essay

A random sample of 49 lunch customers was taken at a restaurant. The average amount of time the customers in the sample stayed in the restaurant was 45 minutes with a standard deviation of 14 minutes.
a.Compute the standard error of the mean.
b.With a .95 probability, what statement can be made about the size of the margin of error?
c.Construct a 95% confidence interval for the true average amount of time customers spent in the restaurant.
d.With a .95 probability, how large of a sample would have to be taken to provide a margin of error of 2.5 minutes or less?

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Definitions:

Strategic Therapy

A therapeutic approach that focuses on solving specific problems within the family or individual, often through direct interventions and carefully designed strategies.

Autonomous Fashion

Operating or functioning independently, often referring to the ability to make decisions and take actions based on one's own preferences and judgments without outside influence.

Contract

In a therapeutic context, a contract is an agreement between a therapist and a client outlining the responsibilities and expectations of both parties.

Evidence-based

An approach that prioritizes the use of methods and practices that have been scientifically tested and proven to be effective.