The sample consists of 16 observations and the sample correl

The sample consists of 16 observations and the sample correlation coefficient is 0.86.

A. Calculate the value of the test statistic. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

B. At the 10% significance level, specify the critical value(s). (Round your answer to 3 decimal places.)

Solution

A.

Note that

t = r sqrt[(n - 2) / (1 - r^2)]

Thus,

t = 6.31 [ANSWER]

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B.

Note that

df = n - 2 = 14

Thus, at 10% significance, as this is a two tailed test, using technology or table,

tcrit = -1.761, 1.761 [there are two critical values]