Question

written homework assignment #1
chapters 1 - 2
15 points
directions: either print this page out and write directly on it, or on a separate sheet of paper, write out your solutions to the questions below. then scan your written work, save it as a pdf file, and submit it on canvas.

1. management at a retail store is concerned about the possibility of drug abuse by people who work there. they decide to check on the extent of the problem by having a random sample of the employees undergo a drug test. several plans for choosing the sample are proposed. name the sampling strategy in each. (4 points)

a. randomly select an employee shift and test all the people who work during that shift.
b. choose the fourth person that arrives to work for each shift.
c. there are four employee classifications: supervisors, full - time clerks, part - time clerks, and maintenance staff. randomly select ten people from each category.
d. each employee has a three - digit identification number. randomly choose 40 numbers.

1. in july 2014, ingenuity published an article on the colonies of ants. they reported some basic information about many species of ants and the results of some discoveries found by a myrmecologist. information included the scientific name of the ant species, the geographic location, the depth of the nest (in feet), the number of chambers in the nest, and the number of ants in the colony. it reported that nest designs include vertical, horizontal, or inclined tunnels for movement and transport of food and ants.

list the variables. indicate whether each variable is qualitative or quantitative. if the variable is qualitative, categorize it as either ordinal or nominal. if the variable is quantitative, categorize it as either discrete or continuous. (6 points)

Explanation:

Step1: Identify sampling strategy for a

Selecting an entire shift is cluster sampling as the shift is a cluster of employees.

Step2: Identify sampling strategy for b

Choosing every fourth - arriving person is systematic sampling as it follows a fixed interval.

Step3: Identify sampling strategy for c

Selecting from different employee categories is stratified sampling as the population is divided into strata (categories).

Step4: Identify sampling strategy for d

Randomly choosing identification numbers is simple random sampling as every employee has an equal chance of being selected.

Step5: Analyze variables in question 2

Variable 1: Scientific name of ant species

It is a qualitative variable and nominal since the names are just labels with no order.

Variable 2: Geographic location

It is a qualitative variable and nominal as locations are distinct labels without order.

Variable 3: Depth of the nest (in feet)

It is a quantitative variable and continuous as depth can take any value within a range.

Variable 4: Number of chambers in the nest

It is a quantitative variable and discrete as the number of chambers is a countable whole number.

Variable 5: Number of ants in the colony

It is a quantitative variable and discrete as the number of ants is a countable whole number.

Variable 6: Nest design (vertical, horizontal, inclined)

It is a qualitative variable and nominal as the designs are just different categories with no order.

Answer:

1.
a. Cluster sampling
b. Systematic sampling
c. Stratified sampling
d. Simple random sampling
2.
Scientific name of ant species: Qualitative, Nominal
Geographic location: Qualitative, Nominal
Depth of the nest (in feet): Quantitative, Continuous
Number of chambers in the nest: Quantitative, Discrete
Number of ants in the colony: Quantitative, Discrete
Nest design (vertical, horizontal, inclined): Qualitative, Nominal