Question

81. There are 500 people working in a company. The company's departments consist of production, marketing and finance. There are 250 people working in the production department, 150 people in the marketing department and 100 people in the finance department. When a sample is created using the stratified sampling method for 50 randomly selected people from the company, how many people will the sample consist of from each stratum?

234

likes
1172 views

Answer to a math question 81. There are 500 people working in a company. The company's departments consist of production, marketing and finance. There are 250 people working in the production department, 150 people in the marketing department and 100 people in the finance department. When a sample is created using the stratified sampling method for 50 randomly selected people from the company, how many people will the sample consist of from each stratum?

Expert avatar
Jon
4.6
110 Answers
To find out how many people the sample will consist of from each stratum, we need to determine the proportion of each department in relation to the total number of people.

Let:
- P_p be the proportion of people in the production department
- P_m be the proportion of people in the marketing department
- P_f be the proportion of people in the finance department

The proportion of each department is calculated as follows:
P_p = \frac{250}{500} = 0.5
P_m = \frac{150}{500} = 0.3
P_f = \frac{100}{500} = 0.2

Now, we will calculate the number of people in each stratum based on the proportions and the sample size:
- From the production department: 0.5 \times 50 = 25
- From the marketing department: 0.3 \times 50 = 15
- From the finance department: 0.2 \times 50 = 10

Therefore, the sample will consist of:
25 people from the production department
15 people from the marketing department
10 people from the finance department

Frequently asked questions (FAQs)
Question: How many right-angled triangles can be formed with integer side lengths not exceeding 10?
+
What is the area of a parallelogram with base 5 units and height 10 units?
+
Math question: Find the equation of the line passing through (-2, 3) and (4, -5) and identify its basic shape.
+
New questions in Mathematics
1 + 1
Solution of the equation y'' - y' -6y = 0
2. Juan is flying a piscucha. He is releasing the thread, having his hand at the height of the throat, which is 1.68 meters from the ground, if the thread forms an angle of elevation of 50°, at what height is the piscucha at the moment that Juan has released 58 meters of the thread?
(6.2x10^3)(3x10^-6)
what is the annual rate on ​$525 at 0.046​% per day for 3 months?
The expected market return is 13,86% and the risk free rate 1%. What would then be the risk premium on the common stocks of a company which beta is 1,55? (in %, 2 decimal places)
The thermal representation f(x) = 20 times 0.8 to the power of x is known from an exponential function f. Specify the intersection point with the y-axis
I want you to solve this problem as a grade sixth pupil in primary school: 8 Pigs ate 6 bags of fee in 20 days. How long will it take 10 pigs to eat 15 bags of feed eating at the same rate?
-1%2F2x-4%3D18
The volume of a cube decreases at a rate of 10 m3/s. Find the rate at which the side of the cube changes when the side of the cube is 2 m.
A popular cell phone family plan provides 1500 minutes. It charges 89.99/month for the first 2 lines and 9.99 for every line after that. Unlimited text messages for all phone lines costs $30.00/month, and Internet costs $10.00/month per phone line. If a family with a $200 monthly budget buys this plan and signs up for unlimited text messaging and Internet on each phone line, how many cell phone lines can they afford? Use an inequality to solve this problem. Graph your solution on the number line and explain the meaning of your graph in a sentence.
A,B,C and D are the corners of a rectangular building. Find the lengths the diagonals if AB measures 38' - 9" and AD measures 56' - 3"
A building lot is in the shape of a triangle with a base of 133 feet and a height of 76 feet. What is it's area in square feet?
suppose a city with population 80,000 has been growing at a rate of 8% per year if this rate continues find the population of this city in 10 years
Find the area of a triangle ABC when m<C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.
How many cards do you expect to pull from a poker deck until you get an ACE?
If sin A=0.3 and cos A=0.6, determine the value of tan A.
2 - 6x = -16x + 28
The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?
8(x+4) -4=4x-1