The difference between the t - distribution and the normal distribution is A. th

Question

The difference between the t - distribution and the normal distribution is A. the normal distribution changes shape depending on the sample size while the t - distribution does not. B. there is more area in the tails of the t-distribution than the normal distribution. C. more than 95% of the data fall within two standard errors of the mean in the t-distribution. D. the t-distribution is skewed while the normal distribution is symmetric. E. none of the above as the t-distribution and the normal distribution are identical.

Explanation / Answer

Option C is correct

Explanation:

the rule of thumb that states that if data follows a normal distribution, then 68% of the observations will be within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three. There are similar rules for the t distribution, but all of those figures are smaller, and they decrease with the degrees of freedom of the distribution.

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