in a study of the relationship between personality and humor appreciation, Mobbs et al. (2005) measured two dimensions of personality, neuroticism and extroversion, in 17 healthy volunteers, scores along the personality dimensions were based on a 60-item, self-report questionnaire. Why is the association between these two personality dimensions? Subject Extroversion Neuroticism 1 43 49 2 46 53 3 48 67 4 48 57 5 48 56 6 50 48 7 51 60 8 51 41 9 53 51 10 58 47 11 62 41 12 63 51 13 63 30 14 63 28 15 67 55 16 67 47 17 67 39 a) plot the data in agraph b) what is the correlation coefficient in the data, and what it the most-plausible range of values for the population correlation? Use the 95% confidence interval. 1. What is the correlation coefficient for the association of extroversion and neuroticism in personalities.xls?
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in a study of the relationship between personality and humor appreciation, Mobbs et al. (2005) measured two dimensions of personality, neuroticism and extroversion, in 17 healthy volunteers, scores along the personality dimensions were based on a 60-item, self-report questionnaire. Why is the association between these two personality dimensions?
Subject Extroversion Neuroticism
1 43 49
2 46 53
3 48 67
4 48 57
5 48 56
6 50 48
7 51 60
8 51 41
9 53 51
10 58 47
11 62 41
12 63 51
13 63 30
14 63 28
15 67 55
16 67 47
17 67 39
a) plot the data in agraph
b) what is the
1. What is the correlation coefficient for the association of extroversion and neuroticism in personalities.xls?
2. What is the value of Fisher's z-transforation of the correlation coefficient for the association of extroversion and neuroticism in personalities.xls?
3. What is the standard deviation of the sampling distribution of Fisher's z-transformed correlation coefficient for the association of extroversion and neuroticism calculated from the data in personalities.xls?
4. What is the lower bound of the Fisher's z-transformed population correlation coefficient (zeta) calculated from the data in personalities.xls?
5. What is the upper bound of the Fisher's z-transformed population correlation coefficient (zeta) calculated from the data in personalities.xls?
6. What is the lower bound of the population correlation coefficient (rho) calculated from the data in personalities.xls?
7. What is the standard error of the correlation coefficient for the association of extroversion and neuroticism in personalities.xls?
8. Carry out a formal t-test for the association between extroversion and neuroticism in personalities.xls.
H0: The population correlation coefficient is 0.
HA: The population correlation coefficient is not 0.
What is the value of the t-statistic corresponding to this test? (Report the absolute value. The t-distribution is symmetric, thus it is easier to compare the absolute value of the t-statistic with the positive values in statistical table C).
9. Carry out a formal t-test for the association between extroversion and neuroticism in personalities.xls.
H0: The population correlation coefficient is 0.
HA: The population correlation coefficient is not 0.
What is the critical value of the t-statistic required to reject the null hypothesis at a confidence level of 0.05? (Report the absolute value. The t-distribution is symmetric, thus it is easier to compare the absolute value of the t-statistic with the positive values in statistical table C).
10. The data in chocolate_nobels.xls is not bivariate normal. Plot a
11. (This question has 3X the normal weight). What is the value of Spearman's correlation coefficient for the association between chocolate consumption and number of Nobel prize winners in chocolate_nobels.xls?
12. Perform a formal test for correlation on the chocolate consumption / Nobel prize winners data in chocolate_nobels.xls.
H0: There is no correlation between chocolate consumption and the number of Nobel prize winners (=0)
H1: There is a correlation between chocolate consumption and the number of Nobel prize winners ( is not 0)
What is the critical value of Spearman's correlation coefficient, which is required to reject the null hypothesis at a 0.05 confidence level?
13. Perform a formal test for correlation on the chocolate consumption / Nobel prize winners data in chocolate_nobels.xls.
H0: There is no correlation between chocolate consumption and the number of Nobel prize winners (=0)
H1: There is a correlation between chocolate consumption and the number of Nobel prize winners ( is not 0)
True or false: The null hypothesis should be rejected based on your analysis in the preceding questions.
True or False???
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