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AS THE SAMPLE SIZE N GETS LARGER/THE STUDENT'S T-DISTRIBUTION GETS FAR A WAY TO THE STANDARD...

AS THE SAMPLE SIZE N GETS LARGER/THE STUDENT'S T-DISTRIBUTION GETS FAR A WAY TO THE STANDARD NORMAL DISTRIBUTION

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Answer #1

Solution: The given statement "As the sample size n gets larger, the Student's T-distribution gets far away to the standard normal distribution" is false.

Explanation: The shape of the T-distribution is symmetric like normal distribution but the tails of the t-distribution are heavier than the normal. As the sample size gets larger, the tails of the t-distribution get flattened and the shape of the t-distribution becomes identical with the shape of normal distribution. Therefore, as the sample size n gets larger, the student's T-distribution gets closer to the standard normal distribution. Hence the given statement is "false".

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