The administration of a large university is interested in learning about the types of wellness programs that would interest its employees. To do this, they plan to survey a random sample of employees. Under consideration are several plans for selecting the sample. Which of the following sampling strategies is the stratified sampling?

A. Simple Random Sampling.
B. Stratified Sampling.
C. Cluster Sampling.
D. Systematic Sampling.
E. Convenience Sampling.

a. There are five categories of employees (administration faculty, professional staff, clerical and maintenance). Randomly select ten individuals from each category.

Completed question;

The administration of a large university is interested in learning about the types of wellness programs that would interest its employees. To do this, they plan to survey a random sample of employees. Under consideration are several plans for selecting the sample. Which of the following sampling strategies is the stratified sampling?

a. There are five categories of employees (administration faculty, professional staff, clerical and maintenance). Randomly select ten individuals from each category.

b. Fach employee has an ID number. Randomly select 50 numbers.

c. Randomly select a school within the university (eg, Business School) and survey all of the individuals (administration, faculty, professional staff, clerical and maintenance) who work in that school.

d. The HR Department has an alphabetized list of newly hired employees (hired within the last five years). After starting the process by randomly selecting an employee from the list, then every 5th name is chosen to be included in the sample.

Step-by-step explanation:

Stratified sampling is a sampling strategy from a population that involves sampling by dividing or partitioning the population into smaller subgroups.

So the correct answer is "There are five categories of employees (administration faculty, professional staff, clerical and maintenance). Randomly select ten individuals from each category." because it involves dividing the population into subgroups.

a. (14,375+570)(5.3) b. 158,417$

step-by-step explanation:

a. you are basically just setting up the equation. f= amount of debt hence 14,375. g= how much she is borrowing from her parents weekly hence 570 and t= the interest on her debt. creating the equation.

b.   14,375+570= 14,945

      14,945 x 5.3 = 79,208.5

      79,208.5 x 2(years) = 158,417(answer)

the cross section of an object is the shape you get when you cut straight through an object.

thus the cross section of the human hair is a circle. hence the cross sectional area is the area of a circle and area of circle is :

a = 3.14 × r²

we are given that the average width of human hair is = 4 × (1 / 10³) cm.

so the diameter of the circle is = 4 × (1 / 10³) cm.

∴ radius r = (diameter/2) = 2 × (1/10³) cm

now area a = 3.14 × (2 × (1/10³))² cm²

scientific notation is a standard way of writing very large and very small numbers so that they’re easier to both compare and use in computations. to write in scientific notation, follow the form

n × 10 ᵃ

where n is a number between 1 and 10, but not 10 itself, and a is an integer (positive or negative number).

so area can be rewritten in scientific notation as :

⇒ 3.14 × 4 × (1/10⁶)

⇒ 12.56 × 10 ⁻⁶ cm²

⇒1.256 × 10⁻⁷ cm²