A Department Store Believes That Telephone Calls Come into the Switchboard

question 11

Essay

A department store believes that telephone calls come into the switchboard at 10-minute intervals, according to a Poisson distribution. Before ordering new equipment, the store wishes to determine whether the Poisson model is a valid assumption. Records on the number of calls received were kept for a random selection of 150 ten-minute intervals. The results are shown below.
a. What is the average number of calls during these ten-minute intervals?
b. Generate the expected number of calls using a Poisson probability table.c. Give the null and alternative hypotheses for the appropriate test.
d. Determine the number of degrees of freedom for this test.
e. Calculate the value of the test statistic.f. Determine the p-value and state whether or not the Poisson model is a valid model for the phone calls?

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Definitions:

Diverse Work Environment

A workplace that includes a wide range of differences among its employees, including race, gender, ethnicity, sexual orientation, age, and abilities.

Effective Diversity Practices

Strategies and actions that promote inclusion and respect for differences among team members or within organizations.

Effective Leader

An individual who achieves desired results or goals through inspiring, motivating, and guiding others in a positive and strategic manner.

Diverse Cultural Backgrounds

The presence and inclusion of individuals from a wide range of cultural, ethnic, and racial backgrounds within a group or organization.