THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 77

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A large department store records the number of returns per day in women's dresses for reasons such as wrong size;husband didn't like it,color,etc.The manager of the women's dresses department recalls from her statistics class in college that the Poisson distribution might describe such events.A random sample of 150 days is taken.The number of returns per day in the sample as well as the observed frequencies is shown in the table below:

She tests the hypothesis that returns per day are Poisson distributed with a population mean equal to 1.90.Her significance level is 0.05
-A random sample of 75 medical students was asked to estimate how much money they spent on textbooks in a year.The sample skewness of these amounts was found to be 0.90 and sample kurtosis was 4.0.Test at the 5% level the null hypothesis that the population distribution of amounts spent is normal.

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Definitions:

Queue

A line or sequence of people or vehicles awaiting their turn to be attended to or to proceed.

Mean Arrival Rate

The average rate at which entities arrive in a system over a specified period.

FCFS

An acronym for "First-Come, First-Served," a principle or algorithm where the first request made is the first to be attended to, commonly applied in scheduling and service systems.

Queuing Discipline

Rules or priorities determining the order in which entities are processed, often used in queue management.