A Coffee Machine Sales Representative Visits 5 Businesses Per Day

question 5

Essay

A coffee machine sales representative visits 5 businesses per day. A sample of 200 days gives the frequencies of coffee machine sales volumes listed below: $$\begin{array} { | c | c | } \hline \text { Number of sales } & \text { Observed frequency (days) } \\\hline 0 & 10 \\\hline 1 & 38 \\\hline 2 & 69 \\\hline 3 & 63 \\\hline 4 & 18 \\\hline 5 & 2 \\\hline\end{array}$$ Assume that the population is binomially distributed with a probability of purchase p = 0.50.
Should the assumption of a binomial distribution be rejected at the 1% significance level?

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Definitions:

Impaired Performance

A reduction in the ability to carry out tasks or activities to the usual standard, often due to external or internal factors.

Overcompensation

A psychological mechanism where individuals attempt to counteract feelings of inferiority or a perceived weakness by emphasizing another trait or engaging in excessive behavior.

Use of Fantasy

The engagement with imaginative and often unreal scenarios as a mental escape or a means of creativity.

Denial of Reality

A psychological defense mechanism in which individuals refuse to accept the truth of a situation or fact, often to protect themselves from discomfort.