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Test whether there is significant correlation for given problem using Pearson correlation.
It is well known that similarities in attitudes, beliefs, and interests play an important role in interpersonal attraction. Thus correlations for attitudes between married couples should be strong. Suppose a researcher developed a questionnaire that measures how liberal or conservative one's attitudes are. Low scores indicate that the person has liberal attitudes, whereas high scores indicate conservatism. The following hypothetical data are scores for married couples.
Couple
Wife
Husband
A
11
14
B
6
7
C
16
15
D
4
E
1
3
F
10
9
G
5
H
8
Compute the Pearson correlation for these data, and determine whether there is a significant correlation between attitudes for husbands and wives. Set alpha at .05, two tails.
A recent census of a small town in Michigan showed that 60% of the residents are male, 20% have college degrees, and 15% are both male and college graduates.
Assume P1 and P2 move simultaneously. Represent this game in normal form.
If code is 4 random letters, and letters can be utilized multiple times, how many different possible codes are there?
The critical value of F at 95% confidence when there is a sample size of 21 for the sample with the smaller variance, and there is a sample size of 9 for the sample with the larger sample variance is:
Professor Cox needs a volunteer amongst 30 students in his statistical applications course. The average age of his students is 25 years, with the standard deviation of 3 years.
Compute the median number of dependents?
Report the t-value, whether you accept or reject Ho, and whether the difference was significant in a brief sentence.
Prepare a power curve for this decision rule
The Johnson family uses a propane tank for cooking on their gas grill. During the summer they need to replace their tank on average every 30 days.
When we carry out a goodness of fit chi-square test, the expected frequencies are based on the alternative hypothesis
Create a 95% confidence interval for population proportion of positive drug tests.
Test the claim that the mean age of the prison population in one city is less than 26 years. Sample data are summarized as n = 25, x = 24.4 years, and s = 9.2 years. Use a significance level of α = 0.05.
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