Ch$.1\mathrm{.}3$ and $2$ Practice Problems Name: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Instructions: Please complete the following applied statistical exercises to the best of your ability after reading Chapters $1\mathrm{.}3$ and $2.$ Please type your responses and bold them, or highlight them in yellow. This exercise is worth up to $6$ points. You may earn up to $4$ points for completing all questions to the best of your ability and up to $6$ points if all answers are correct. However, you will lose points if you leave questions completely blank.

$1.$ A business study was conducted to determine the reasons why employees choose to leave their jobs. A survey was administered to $28$ employees who recently resigned from small and medium$-$sized businesses. They were asked to indicate the main reason for their resignation. Responses varied based on dissatisfaction, limited growth opportunities, and offered a better salary elsewhere.

Reasons Employees Quit

Dissatisfaction Dissatisfaction Limited Dissatisfaction

Limited Better Salary Dissatisfaction Limited

Limited Dissatisfaction Better Salary Dissatisfaction

Dissatisfaction Better Salary Better Salary Better Salary

Limited Limited Dissatisfaction Limited

Dissatisfaction Dissatisfaction Limited Dissatisfaction

Better Salary Limited Dissatisfaction Dissatisfaction

a$.$ Provide a frequency distribution and a percent frequency distribution.

Reason for Quitting Frequency Percent Frequency Cumulative Percentage

Dissatisfaction

Limited

Better Salary

Total

b$.$ Describe how a business manager can construct a bar graph from the data provided above. A business manager can construct a bar graph by hand or with the use of Excel $($and attach to this worksheet$).$

c$.$ What interpretation might a manager obtain about this data using a bar graph?

d$.$ What percentage of employees quit because they feel they have limited growth opportunities in the company?

e$.$ What is the primary reason a person quits their job?

$2.$ Consider the following injuries in the workplace at a state$-$wide construction company operating in several cities in Texas using a frequency distribution.

Workplace Injury Classes Frequency

$20-2915$

$30-3918$

$40-496$

$50-591$

a$.$ Construct a histogram given the dataset above. You can do so by typing the rows and numbers on a new Excel spreadsheet. Then, highlight the data, then click $$Insert$,$ then, find and click on $$Clustered Column.$$ This shall bring a basic histogram.

$3.$ What do college students do with their time? A survey of $3,000$ traditional$-$age students was taken, with the results as follows:

Student Activity Percentage

Attending class$/$lab $10\%$

Working $48\%$

Socializing, recreation, hobbies, etc. $25\%$

Studying $7\%$

Volunteering, student clubs $10\%$

a$.$ Construct a bar chart, a pie chart, and a Pareto chart. You may create them by hand or by using Excel.

b$.$ Which graphical method do you think is best for portraying these data?

c$.$ What conclusions or concerns can you reach concerning what college students do with their time?

$4.$ The following data represent the bounced check fee in dollars for a sample of $23$ banks for direct$-$deposit customers who maintain a $$100$ balance.

$2628202021222525182515201820252522303030152029$

a$.$ Place the data into an ordered array.

b$.$ Set up a stem$-$and$-$leaf display for these data.

Stem Leaf

c$.$ Around what value$($s$),$ if any, do the bounced check fees seem to be most concentrated? Explain.