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)
Math question: What is the derivative of f(x) = 3x^4 + 2x^3 - 5x^2 + 7x - 3?
+
Math question: How many different ways can 6 friends be seated in a row of 10 chairs?
+
What is the probability of drawing a red marble from a bag containing 4 red marbles and 6 blue marbles?
+
New questions in Mathematics
Since one of the three integers whose product is (-60) is (+4), write the values that two integers can take.
Express the following numbers in decimal system, where the subscript indicates the base: 110101 (SUBINDEX=2)
You are planning to buy a car worth $20,000. Which of the two deals described below would you choose, both with a 48-month term? (NB: estimate the monthly payment of each offer). i) the dealer offers to take 10% off the price, then lend you the balance at an annual percentage rate (APR) of 9%, monthly compounding. ii) the dealer offers to lend you $20,000 (i.e., no discount) at an APR of 3%, monthly compounding.
Mrs. Emily saved RM10000 in a bank. At the end of the eighth year, the amount of money accumulated amounted to RM19992.71. If the bank pays an annual interest of x% for a year compounded every 6 months. Calculate the value of x.
If you randomly selected one person from the 900 subjects in this study, what is the probability that the person exhibits the minimum BMI?
Emma is on a 50 m high bridge and sees two boats anchored below. From her position, boat A has a bearing of 230° and boat B has a bearing of 120°. Emma estimates the angles of depression to be about 38° for boat A and 35° for boat B. How far apart are the boats to the nearest meter?
v Is the following statement a biconditional? If Shannon is watching a Tigers game, then it is on television.
In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24
Convert 9/13 to a percent
Subjects are randomly assigned to one of three specialties for a 3-month rotation, and at the end of that rotation, they are given a test that measures moral development. The scores are listed below, where a high score represents high moral development and a low score represents low moral development. Orthopedics Pediatrics Oncology 77 63 54 84 93 97 66 97 76 44 76 65 59 45 91 40 88 68 28 74 54 M = 56.86 M = 76.57 M = 72.14 What is Nt?
ind the z-score for which 72% of the distribution's area lies between -z and z. -1.7417, 1.7417 -1.1538, 1.1538 -1.0803, 1.0803 -2.826, 2.826
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
A tree cast a shadow of 26 meters when the angle of evaluation of the sum is 24°. Find the height of the tree to the nearest meter
Find the number of pounds of nails required for 17850 square feet of drywall if each thousand square feet requires 4.5 pounds of nails.
Kaya deposits 25,000 into an account that earns 3% interest compounded monthly. How much does Kaya have in the account after 6 years 8 months? Round to the nearest cent. 32,912.50 30,000 29,923.71 30,527.45
a) 6x − 5 > x + 20
The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is acceptable.
simplify w+[6+(-5)]
Find the orthogonal projection of a point A = (1, 2, -1) onto a line passing through the points Pi = (0, 1, 1) and P2 = (1, 2, 3).
In a cheese factory, one pie costs 3800 denars. The fixed ones costs are 1,200,000 denars, and variable costs are 2,500 denars per pie. To encounter: a) income functions. profit and costs; b) the break-even point and profit and loss intervals.