Math/Physic/Economic/Statistic Problems
Professor Aston carried out a research study that investigated the relationship between shyness and loneliness. Fifteen volunteer participants were asked to complete two questionnaires, one measuring loneliness and one measuring shyness. The researcher hypothesised that there was a positive relationship between shyness and loneliness.
The data for the above study are as follows.
Shyness score Loneliness score
7 16
11 18
7 17
5 4
8 4
12 19
6 13
9 5
10 5
10 17
12 15
9 7
13 9
5 2
4 1
a. What are the variables?
b. What type of design has been used?
c. Is the hypothesis one-tailed or two-tailed?
d. Why should a Pearson’s r be used to analyse the data?
d. What is the value of the test statistic?
e. What is the strength of the correlation?
f. What % of the variation in loneliness can be explained by the variation in shyness scores?
g. What is the exact probability value?
h. Has the researcher’s hypothesis been supported?
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