For a t-distribution with sample size 10, P (t > 1.96) 2 0.0408 and P (t < -1.96) 2 0.0408 . Which of the following is a property of the t-distributionillustrated by the probabilities?AWith sample size 10, the tails of the curve of the t-distribution have more area than the tails of the curve of the z-distribution.BWith sample size 10, the tails of the curve of the t-distribution have less area than the tails of the curve of the z-distribution.CWith sample size 10, the middle of the curve of the t-distribution has more area than the middle of the curve of the z-distribution.With sample size 10, the mean of the t-distribution is greater than the mean of the z-distribution.EWith sample size 10, the mean of the t-distribution is less than the mean of the z-distribution.

Answered: For a t-distribution with sample size…

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For a t-distribution with sample size 10, P (t > 1.96) 2 0.0408 and P (t < -1.96) 2 0.0408 . Which of the following is a property of the t-distribution
illustrated by the probabilities?
A
With sample size 10, the tails of the curve of the t-distribution have more area than the tails of the curve of the z-distribution.
B
With sample size 10, the tails of the curve of the t-distribution have less area than the tails of the curve of the z-distribution.
C
With sample size 10, the middle of the curve of the t-distribution has more area than the middle of the curve of the z-distribution.
With sample size 10, the mean of the t-distribution is greater than the mean of the z-distribution.
E
With sample size 10, the mean of the t-distribution is less than the mean of the z-distribution.

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t - distribution is symmetric about the mean similar to Z - dist but in this distribution population standard deviation is unknown compared to Z - distribution

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