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Statistics for Marketing and Consumer Research

Mario Mazzocchi

Chapter 5

Sampling - all with Video Answers

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Chapter Questions

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Problem 1

Open the EFS data-set in SPSS
a. Compute the mean of the variable cc3111 (clocks, watches and jewelery) on the whole data-set
b. Now, extract a sample of 60 units and compute the sample means using:
i. Simple random sampling
ii. Stratified sampling (using INCRANGES - income quartiles as stratification variable)
iii. Systematic sampling
c. What is the sampling error? Which one is the most accurate method? And the most precise?
d. Sort the sample by INCANON and perform systematic sampling again how do results change? Why?

Victor Salazar
Victor Salazar
Numerade Educator
08:16

Problem 2

Open the Trust data-set in SPSS
a. Compute the descriptive statistics of the variable q4kilos on the whole sample $(\mathrm{N}=500)$
b. Suppose you need to extract a simple random sample of 50 elements, what is the estimated relative accuracy at a $95 \%$ confidence level? (HINT: $t_{\alpha / 2}=$ $t_{0.025}=1.68$ )
c. If the target accuracy is $\pm 15 \%$, what is the sample size?

MA
Melissa A
Numerade Educator
08:47

Problem 3

Open the EFS data-set in SPSS
a. Compute the mean of the variable p609 (recreation expenditure)
b. If the distribution of age in the population is the following:
i. Less than $30=20 \%$
ii. $30-55=40 \%$
iii. More than $55=40 \%$

Harsh Gadhiya
Harsh Gadhiya
Numerade Educator