Stats

Statistical Analysis (82)

Quiz 1 (15 points)

Name: _______________________________

Instructions

This is a closed book quiz. You have 20 minutes to complete this quiz. To get full credit, please provide all your work, NOT just the result for each question.

1. A company employs 700 marketing employees. Of these, 95 receive a bonus last year, 250 attended a special marketing seminar at the beginning of last year, and 60 both attended the special marketing seminar and received a bonus. (Note: bonus was based totally on the performance.)

a. What proportion of the 700 employees received a bonus last year? (2 points)

b. What proportion of the 700 employees received a bonus last year or attended a special marketing seminar at the beginning of last year? (2 points)

c. What proportion of the employees who attended the special marketing seminar received a bonus? (2 points)

d. Based on your answers, are attending the special marketing seminar and receiving a bonus independent? Explain your answer. (3 points)

2. Four employees who work as drive-through attendants at a local fast-food restaurant are being evaluated. As part of a quality improvement initiative and employee evaluation, these workers were observed over three days. One of the statistics collected was the proportion of time the employee forgot to include a napkin in the bag. Related information is given in the table.

a. Suppose that a random dinner is found to have no napkins. What is the probability that Cheryl prepared your dinner? (3 points)

b. What is the probability that there is a napkin included for a given order? (3 points)