1. To test the hypotheses that there is no significant correlation vs there is significant correlation between two variables X and Y a sample of size 15 is taken. Find the test value when correlation coefficient is 0.885
2. To test the hypotheses that there is no significant correlation vs there is significant correlation between two variables X and Y (two sided test) a sample of size 15 is taken with alpha=10%. Find the degrees of freedom for this test.
3. To test the hypotheses that there is no significant correlation vs there is significant correlation between two variables X and Y (two sided test) a sample of size 15 is taken with alpha=10%. Find the critical value for this test.
Here the test statistics follows student t distribution.
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