An owner of a local ice cream shop is concerned about appropriate staffing of employees at her ice cream shop. Some days it appears there are not enough employees scheduled and service is slow. Other days there are too many employees scheduled for how busy it is, and the employees sit around with nothing to do, or are forced to leave early. The owner decides to collect data for the month of June (30 days). The owner collects the day of the week, the high temperature of that day, and the amount of customers served that day. a. Does the data collected for June represent an experiment or observational study? Explain. b. The owner calculates descriptive statistics for the number of customers served and finds the following information: Mean: 89.4 Median: 78 Standard Deviation: 12 Interquartile Range: 11 Use the information above to come up with a conjecture regarding the shape of this distribution. Explain your reasoning. c. Suppose the owner wanted to create a graphical display to help determine staffing numbers. Explain in detail what type of graphical display she should use and support your answer.

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.