In order to determine customer satisfaction rates, a retail company conducted surveys of 419 customers at 3 store locations.

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

1. Question 1

 

In order to determine customer satisfaction rates, a retail company conducted surveys of 419 customers at 3 store locations. Data is available in the satisf.sav file. In this question we are going to investigate whether different age categories shop as frequently.

Crosstabs

Case Processing Summary

Cases

Valid Missing Total

N Percent N Percent N Percent

Age category * Shopping frequency 419 100,0% 0 0,0% 419 100,0%

Table 1

 

 

Age category * Shopping frequency Crosstabulation

Shopping frequency

 

 

Total

 

First time <

1/mont h

1/mont h

 

1/week

>

1/week

Age category 18-

24 Count 5 9 10 4 2 30

% within Age category 16,7% 30,0% 33,3% 13,3% 6,7% 100,0%

25-

34 Count 13 24 31 15 4 87

% within Age category 14,9% 27,6% 35,6% 17,2% 4,6% 100,0%

35-

49 Count 13 37 65 44 8 167

% within Age category 7,8% 22,2% 38,9% 26,3% 4,8% 100,0%

50-

64 Count 3 21 39 39 10 112

% within Age category 2,7% 18,8% 34,8% 34,8% 8,9% 100,0%

64+ Count 1 6 7 6 3 23

% within Age category 4,3% 26,1% 30,4% 26,1% 13,0% 100,0%

Total Count 35 97 152 108 27 419

% within Age category 8,4% 23,2% 36,3% 25,8% 6,4% 100,0%

Table 2

 

Chi-Square Tests

 

 

Value

 

df Asymptotic Significance (2- sided)

Pearson Chi-Square 26,591a 16 ,046

Likelihood Ratio 26,812 16 ,044

Linear-by-Linear Association 17,851 1 <,001

N of Valid Cases 419

a. 4 cells (16,0%) have expected count less than 5. The minimum expected count is 1,48.

Table 3

 

a) Test whether age categories shop equally frequently or if there seems to be a relation between age and shopping frequency. Perform the test at the 5 % level. The null and alternative hypotheses should be stated explicitly.

 

 

 

b) What are your conclusions?

 

 

 

2. Question 2

 

An analyst at an investment firm wants to investigate if the yearly return is the same before and after a shock to the economy. He knows from before that this type of data is non-normal, but symmetric, and therefore he wants to use the Wilcoxon matched pair signed rank test. The data is available in the file mutualfund.sav.

Non-parametric tests

 

Hypothesis Test Summary

Null Hypothesis Test Sig.a,b Decision

1 The median of differences between Return_Before and

Return_After equals 0. Related-Samples Wilcoxon Signed Rank Test ,055 Retain the null hypothesis.

 

a. The significance level is ,050.

b. Asymptotic significance is displayed.

 

Related-samples Wilcoxon signed rank test Return before, return after

 

 

 

 

Table 4

 

Related-Samples Wilcoxon Signed Rank Test Summary

Total N 17

Test Statistic 36,000

Standard Error 21,110

Standardized Test Statistic -1,919

Asymptotic Sig.(2-sided test) ,055

Table 5

Attachments:

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