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)
Q: Find the period of the trigonometric function f(x) = 2cos(x) + 3sin(4x) within [0, 2𝜋].
+
Math question: What is the lateral surface area of a right circular cylinder with radius r and height h?
+
What is the quadratic formula and how can it be applied to solve equations?
+
New questions in Mathematics
5(4x+3)=75
what is 9% of 307
Determine the correct value: A company knows that invoices pending collection have a normal distribution with a mean of $1.65 million, with a standard deviation of $0.2 million, then: The probability that an invoice pending collection has an amount that is within more than 2 deviations below the mean, is:
(5-(4-3)*3)-(8+5))
"If three wolves catch three rabbits in three hours, how many wolves would it take to catch a hundred rabbits in a hundred hours?" The answer is the number of response units.
How long will it take for $900 to become $5000 at an annual rate of 11.15% compounded bimonthly?
A pair of die is thrown and the absolute difference of the two scores is recorded. What is the probability of the absolute difference being 4 or more?
3. A rock is dropped from a height of 16 ft. It is determined that its height (in feet) above ground t seconds later (for 0≤t≤3) is given by s(t)=-2t2 + 16. Find the average velocity of the rock over [0.2,0.21] time interval.
X³-27
Buffalo Company makes and sells shampoo. Each unit requires $1.40 labor costs, material costs per unit are $0.90 and other variable costs are $0.30. It sells shampoo for $4.45 to retailers. Fixed costs are $15,000. It sold 25,000 units in the current month. What is the Break-Even point in units? What is the Break-Even point in dollars? What is the contribution margin of Buffalo Company?
Jasminder has made 55% of the recipes in a particular cookbook. If there are 9 recipes that he has never made, how many recipes does the cookbook contain?
Build a truth table for the statement ~(pvq)^~p
2x2
00 piece jigsaw puzzle. the completed puzzle is 10x10. each piech connects to at least 2 other pieces. i plan to assemble by taking pieces out of box one by one. if i've already taken out 2 pieces that dont directly connect, what is the minimum number of additional pieces that i need to draw to in order to guarentee that the original 2 pieces connect?
Find I (Intrest) using simple interest formula of 17700 @ 15% for 4 years
A confidence interval for a population mean has a margin of error of 3.5. a. Determine the length of the confidence interval. b. If the sample mean is 47.8 ​, obtain the confidence interval. a. The length of the confidence interval is?
Hola👋🏻 Toca en "Crear Nueva Tarea" para enviar tu problema de matemáticas. ¡Uno de nuestros expertos comenzará a trabajar en ello de inmediato!
Slope (7,3) and (9,5)
The supply of a good registers periodic increases. With each increase in the offer, the total receipts of the bidders increase. Indicate the correct statement: a) demand is elastic b) demand is inelastic c) supply is inelastic d) supply has unit elasticity.
An invoice for €2,880 plus default interest of €48.40 was paid on October 28th. Interest rate 5.5%. When was the bill due?