Question

SS Z_SS E Z_E V Z_V 16 0.49 7 0.97 8 0.43 19 1.34 8 1.79 10 1.45 15 0.21 7 0.97 7 -0.09 15 0.21 8 1.79 8 0.43 14 -0.07 5 -0.69 6 -0.60 15 0.21 6 0.14 8 0.43 13 -0.35 6 0.14 5 -1.11 12 -0.64 5 -0.69 5 -1.11 4 -2.90 3 -2.34 3 -2.14 15 0.21 6 0.14 8 0.43 16 0.49 6 0.14 9 0.94 17 0.78 6 0.14 9 0.94 Based on these data, are there relationships between the variables that the researcher hypothesized (at ? = .05)? Are there significant differences in those relationships (again use ? = .05)?

          SS	Z_SS	E	Z_E	V	Z_V
16	0.49	7	0.97	8	0.43
19	1.34	8	1.79	10	1.45
15	0.21	7	0.97	7	-0.09
15	0.21	8	1.79	8	0.43
14	-0.07	5	-0.69	6	-0.60
15	0.21	6	0.14	8	0.43
13	-0.35	6	0.14	5	-1.11
12	-0.64	5	-0.69	5	-1.11
4	-2.90	3	-2.34	3	-2.14
15	0.21	6	0.14	8	0.43
16	0.49	6	0.14	9	0.94
17	0.78	6	0.14	9	0.94

Based on these data, are there relationships between the variables that the researcher hypothesized (at ? = .05)? Are there significant differences in those relationships (again use ? = .05)?

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SS ZSS E ZE V ZV
16 0.49 7 0.97 8 0.43
19 1.34 8 1.79 10 1.45
15 0.21 7 0.97 7 -0.09
15 0.21 8 1.79 8 0.43
14 -0.07 5 -0.69 6 -0.60
15 0.21 6 0.14 8 0.43
13 -0.35 6 0.14 5 -1.11
12 -0.64 5 -0.69 5 -1.11
4 -2.90 3 -2.34 3 -2.14
15 0.21 6 0.14 8 0.43
16 0.49 6 0.14 9 0.94
17 0.78 6 0.14 9 0.94

Based on these data, are there relationships between the variables that the researcher hypothesized (at ? = .05)? Are there significant differences in those relationships (again use ? = .05)?

Added by Kirk S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Sanchit Jain

Step 1

We can use the Pearson correlation coefficient formula: $r_{xy} = \frac{\sum (x_i - \bar{x})(y_i - \bar{y})}{\sqrt{\sum (x_i - \bar{x})^2 \sum (y_i - \bar{y})^2}}$ We have three pairs of variables to calculate the correlation coefficients for: SS and V, E and V, Show more…

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A personality researcher is interested in finding out what personality traits are related to a characteristic known as Venturesomeness (V). She hypothesized that two traits, Sensation Seeking (SS) and Extraversion (E), would both be related to V but that there might be a difference in the strength of those relationships. Here are the data (higher scores indicate more of the trait on an interval-ratio level scale): Based on these data, are there relationships between the variables that the researcher hypothesized (at α = .05)? Are there significant differences in those relationships (again use α = .05)?

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