Suppose that 10,000 customers in a retailer\'s customer database are categorized
ID: 3296420 • Letter: S
Question
Suppose that 10,000 customers in a retailer's customer database are categorized by three customer types: 3,500 prospective buyers, 4,500 first time buyers, and 2,000 repeat (loyal) buyers. A sample of 1,000 customers is needed. Complete parts (a) through (c) below.
a. What type of sampling should you do? Why?
A.
Simple random sample for accuracy
B.
Stratified sample for efficiency
C.
Systematic sample for accuracy
D.
Convenience sample for efficiency
b. Explain how you would carry out the sampling according to the method stated in (a).
A.
Take a simple random sample of 500 of the customers out of all of the customers, disregarding which stratum each customer belongs to.
B.
Take the highest number of samples from the stratum that seems the most representative, and take the lowest number of samples from the stratum that is most likely to produce outliers.
C.
Partition the N customers in the frame into n groups of k customers, where
kequals=StartFraction Upper N Over n EndFractionNn,
rounding to the nearest integer. Next, choose the first customer to be selected at random from the first k customers in the frame. Then, select the remaining
nminus1
customers by taking every kth customer thereafter from the entire frame.
D.
Select a simple random sample from each of the three types of customers and combine the results.
c. Why is the sampling in (a) not simple random sampling?
A.
A simple random sample gives every sample of a fixed size the same chance of selection as every other sample of that size, which is not true with this sampling method.
B.
A simple random sample gives every item from a frame the same chance of selection as every other item, which is not true with this sampling method.
C.
The probability of selection for each customer must be known, which is not true with this sampling method.
D.
In a simple random sample, each customer must be replaced in the sample after being chosen, which is not true with this sampling method.
Explanation / Answer
(a) Correct option:
B. Stratified samplng for efficiency
REASON: Data is alredy on 3 different strata of customers: prospective buyers, first time buyers, repeat (loyal) buyers
(b) Correct option:
D. Select a simple radom sample from each of the three types of customers and combine the results.
REASON: This is the statistical requirement of stratified samplng.
(c) Correct option:
B.
A simple random sample gives every item from a frame thesame chance of selection as every other item, which is not true with this sampling mthod.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.