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:

Flynn Effect

The observed rise over time in standardized intelligence test scores, attributed to various factors such as improved education and nutrition.

Raw Scores

The original, unmodified scores obtained directly from tests or assessments.

Sex Differences

Variabilities in characteristics between males and females that can be biological, psychological, or cultural.

IQ Tests

Standardized assessments designed to measure human intelligence and cognitive abilities, often used in educational and psychological contexts.