BUS 311 THE FUNDAMENTALS OF STATISTICS Unit 2

survey responses from 288 individuals ________________________________________ (1) Gender (2) Age (3) Department (4) Position (5) Tenure (6) Overall Job Satisfaction (7) Intrinsic Job Satisfaction – Satisfaction with the actual performance of the job (8) Extrinsic Job Satisfaction- Things external to the job, e.g., office location, your work colleagues, your own office (cubicle/hard walled office, etc), etc. Using this database, compose an email to the head of the American Intellectual Union which discusses the following: How you would use the concept of probabilities to apply to profiles for hiring more satisfied individuals and Other ways that probability is used in business (Use the Business Source Elite Database in the Cybrary, research how probability is used in business). Begin your email to AIU by first providing an overview of the database, i.e., a story. Include the following pieces of information. Part I a) What is the gender distribution (%females and %males)? b) What is the “tenure with company” distribution by gender? c) What % of the survey participants are in each department? d) What is the mean overall satisfaction by gender? Part II Keeping in mind that in this email you are going to try to apply probabilities to profile hiring more satisfied individuals, discuss the following in your email. a ) If we choose a person at random from this database: i. What is the probability that this person will be female? Similar to that in part I. Since we know that there are 288 people, 168 are female, 120 are male. So, if we choose a person at random from this database, the probability that this person will be female is ii. What is the probability that this person will be between 22 and 49 years old? First, we need to know that how many people between 22 and 49 years old. Look at the column B-Age with code 2. By the database, we count there are 193 people between 22 and 49 years old. So, the probability that this person will be between 22 and 49 years old is iii. What is the probability that their overall job satisfaction is 4.7 or lower? First, we need to know that how many people with their overall job satisfaction 4.7 or lower. Look at the column F- overall job satisfaction. By the database, we count there are 172 people with their overall job satisfaction 4.7 or lower. So, the probability that that their overall job satisfaction is 4.7 or lower is b ) If we choose a person at random from this database: i. What is the probability that this person will be a male in the information technology department? There are 20 people who are male in the information technology department. So, the probability that this person will be a male in the information technology department is ii. What is the probability that this person will be an hourly employee whose intrinsic satisfaction is 6 or more? There are 48 people who are an hourly employee with intrinsic satisfaction 6 or more. So, the probability that this person will be an hourly employee whose intrinsic satisfaction is 6 or more is c). Calculate the correlation between age and tenure with the company. Explain your results. Part III In your email you need to also address other ways that probability is used in business.