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In a College Dining Hall, Students with a Full Meal

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In a college dining hall, students with a full meal plan can eat up to four meals each day.The kitchen would like to know the distribution of meal consumption by students and think it would follow a Poisson distribution.Reviewing dining hall data over the past week, the following information is compiled.  Meals 01234 Observed frequency 287581447290185\begin{array} { | l | r | r | r | r | r | } \hline \text { Meals } & 0 & 1 & 2 & 3 & \geq 4 \\\hline \text { Observed frequency } & 287 & 581 & 447 & 290 & 185 \\\hline\end{array} The observed value of chi-square for this goodness-of-fit test is closest to _______.


Definitions:

Polygraph Test

A lie detector test that measures and records several physiological indicators such as blood pressure, pulse, respiration, and skin conductivity while a subject is asked questions.

Emotional Arousal

The complex psychological and physiological state of being awoken or stimulated to action by emotions.

Validity

The ability of a test to measure what it was designed to measure.

Deception

The act of misleading or tricking someone by concealing or distorting the truth.

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