ACCA Applied Knowledge · Management Accounting · Sampling methods
A retailer has 5,000 sales records: 3,000 from Store A, 1,500 from Store B and 500 from Store C. A proportionate stratified random sample of 200 records is to be drawn, with stores as strata. How many records should be taken from Store B?
Store B should contribute 60 records. It represents 1,500 of 5,000 records, which is 30%, and applying 30% to the total sample of 200 gives 60. Proportionate stratified sampling keeps each stratum's share of the sample equal to its share of the population.
- A60Correct
- B67
- C100
- D40
Explanation
Store B is 1,500/5,000 = 30% of the population. 30% x 200 = 60 records. Taking an equal share (about 67) ignores proportionality and is wrong.
Did you get it right without looking?
One question tells you little. A timed set on Sampling methods shows your real accuracy, how long you take and where you lose marks.
More Sampling methods questions
- A factory employs 600 staff: 300 machine operators, 200 assemblers and 100 supervisors. A stratified random sample of 60 employees is to be …
- A market researcher wants views from exactly 50 customers and is told to interview 20 men and 30 women, choosing whichever people are most e…
- A firm has 10,000 employees: 8,000 in production and 2,000 in administration. It wants views on a new bonus scheme from both groups. Which i…
- An auditor of a management information system wants to test the opinions of users. She selects a few users she considers to be typical and k…
- A survey of 200 customers uses quotas: 50% aged under 40 and 50% aged 40 or over. Interviewers reach the quotas, but they tend to approach c…
- A firm wants to estimate the average time taken to process all invoices received in a year. The sampling frame used is the list of invoices …