3. Find the T value for a sample of 25 individuals who have a sample mean of x̅ = 34, sample standard deviation of Sx = 4 relative to a population with a mean of μ = 38. Is this sample significantly different (using a 2 tailed test with alpha set at .05) from the sample with a mean of μ = 38?
The test statistic is
At = 0.05, the critical values are +/- t0.025,24 = +/- 2.064
Since the test statistic value is less than the lower critical value (-5 < -2.064), so we should reject the null hypothesis.
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