1. Determine whether each of the following represents a population or a sample.

No written submission required.

The salaries of 50 randomly selected employees in a company.	(click to select) Population Sample
All 15,000 boxes of chocolate produced during a production shift.	(click to select) Population Sample
All the homes in a city whose property taxes are over $10,000.	(click to select) Population Sample
The political affiliation of all registered voters in a city.	(click to select) Population Sample

Option 1: Population

Option 2: Sample

1. Marital status.

Nominal

Ordinal

Interval

Ratio

1. The rate of return on sales.

Qualitative

Quantitative (Discrete)

Quantitative (Continuous)

1. A polytechnic has four campuses. The VP of academics want to evaluate students' reactions to a recent change in the Learning Management System. She requests that her research team randomly select 20 students from each campus to be interviewed.

Simple Random Sampling

Systematic Sampling

Stratified Random Sampling

Cluster Sampling

Convenience Sampling

1. The proportion of employees in each department at Attrev Ltd is displayed in the chart below:

Suppose there are 1,200 employees (full-time and part-time) in the company.

No written submission required.

a. What percentage of the employees are in Finance?

%

b. How many employees are in Production or Marketing?

employees

c. How many employees are neither in Finance nor in HR?

employees

d. If 25% of Production employees work part-time, how many Production employees work full-time?

employees

1. The owner of Blackstone Inc. opened 3 stores in different parts of the city and would like to compare the number of sales transactions made after 2 months of operation. The number of sales transactions at the 3 stores are displayed in the chart below:

No written submission required.

a. What type of chart is being used to compare the data?

 (click to select) Pie Chart Pareto Chart Pictograph Dot Plot Clustered Bar Chart Stacked Bar Chart 

b. Fill in the following two-way frequency table for the data.

	Store 1	Store 2	Store 3	Total
Month 1
Month 2
Total

c. How many transactions were made in the first month?

d. How many transactions were made in total (in both months at all 3 stores)?

e. What percent of the total transactions were made by Store 3?

%

Round to one decimal place

f. What percent of the total transactions were made by Store 3 in Month 2?

%

Round to one decimal place

g. What percent of the transactions at Store 2 were made in Month 1?

%

Round to one decimal place

h. What percent of the transactions in Month 1 were made at Store 2?

%

Round to one decimal place

i. Which store has the highest percentage increase from Month 1 to Month 2?

 (click to select) Store 1 Store 2 Store 3 

Option 1: Store 1, Option 2: Store 2, Option 3: Store 3

1. The following split back-to-back stem-and-leaf plot shows the monthly insurance premiums paid by a sample of 62 students based on their location (23 from the South and 39 from the North) in the same city. Note that each leaf entry has two digits.

South		North
79   78   74   69   67   54	1
42   41   36   33   20   13   07	2	02   05   10   18   22   24   28   36
94   90   72   68	2	51   55   60   66   72   73   81   85   89   92
20   17	3	15   15   16   18   28   29   44
84   84	3	69   76   80   90   96
48   07	4	10   27   32   43
	4	55   76   97
	5	24   45

No written submission required.

Key: 07 | 2 | 02 means $207 monthly insurance premium for a student in the South and $202 for a student in the North

a. What is the highest monthly premium paid by a student in the North?

b. What is the lowest monthly premium paid by a student in the South?

c. How many Northern students pay at least $400 monthly?

d. What percent of Southern students pay less than $300 monthly?

 %

Round to two decimal places

e. For Northern students, what is the frequency of the $300 to under $350 class?

f. What is the total monthly payment for all Southern students in the $300 to under $350 class?

g. For the entire data (North and South combined), what is the cumulative frequency of the $200 to under $250 class?

h. For Northern students, what is the cumulative frequency of the $500 to under $550 class?

i. Is the distribution for students from the South symmetric, skewed right or skewed left?

 (click to select) Symmetric Skewed Right Skewed Left 

Option 1: Symmetric, Option 2: Skewed Right, Option 3: Skewed Left

j. Is the distribution for students from the North symmetric, skewed right or skewed left?

 (click to select) Symmetric Skewed Right Skewed Left 

Option 1: Symmetric, Option 2: Skewed Right, Option 3: Skewed Left

1. Fill in the missing cells in the following grouped frequency distribution table:

No written submission required.

Round to two decimal places when necessary

Class	Midpoint	Frequency	Relative Frequency	Cumulative Frequency	Cumulative Relative Frequency
0 to < 20			8.82%	3	%
20 to < 40			%	12	%
40 to < 60			%	20	%
60 to < 80			%	24	%
80 to < 100			%	34	100.00%

9. The year-end dividend yields (%) for a sample of 48 top-performing stocks are shown in the table below:

2.8	4.2	2.6	3.3	5.8	3.9
5.7	3.0	5.0	2.6	2.8	2.5
3.3	4.0	2.7	2.6	4.9	3.3
3.1	4.6	4.9	4.5	5.5	2.6
5.2	3.0	3.1	2.8	2.7	5.0
5.4	4.7	4.8	3.0	3.6	3.5
3.4	3.9	3.8	3.4	3.9	2.6
2.6	2.9	2.7	4.2	3.7	3.2

Complete this question in Excel and submit your spreadsheet for marking.

a. Fill in the following frequency table using the data.

Dividend Yield	Frequency
2.5 to < 3.0
3.0 to < 3.5
3.5 to < 4.0
4.0 to < 4.5
4.5 to < 5.0
5.0 to < 5.5
5.5 to < 6.0
Total	48

b. What is the frequency of the 3.0 to < 3.5 interval?

c. What proportion of the dividend yields are at least 4.0% but less than 5.0%?

 %

Round to two decimal places

d. What proportion of the dividend yields are less than 4.0%?

 %

Round to two decimal places

e. Suppose a stock is rated A if its dividend yield is 4.0% or higher and rated B if the yield is less than 4.0%. What proportion of B-rated stocks in this sample have dividend yields less than 3.0%?

 %

Round to two decimal places

f. Create the appropriate chart in Excel for the frequency table in (a). Your chart should be complete and labeled for full marks.

Leave this box blank

1. The following chart lists the top 10 cosmetic procedures performed in the United States in 2019.

Procedure	Frequency
Breast Augmentation	299,715
Liposuction	265,209
Eyelid Surgery	211,005
Nose Reshaping	207,284
Face Lift	123,685
Tummy Tuck	123,427
Breast Lift	113,188
Dermabrasion	77,366
Neck Lift	54,852
Breast Reduction	46,340

Complete this question in Excel and submit your spreadsheet for marking.

a. What type/level of data is the cosmetic procedure data? Justify your answer. [2]

b. Create an appropriate chart in Excel to illustrate the distribution of cosmetic procedures in the United States. Your chart should be complete and labeled for full marks. [3]

c. What percentage of the cosmetic procedures were "lifts"? [1]

Leave this box blank

 
 

Marketing 25% Admin 15% Finance Production 31% HR 13% Number of Transactions 250 200 150 100 50 0 163 195 Store 1 140 184 Store 2 144 181 Store 3 Month 1 Month 2