Question

Which of the following is a true statement regarding the comparison of the standard normal distribution to the t-distribution? I. The normal distribution is symmetrical whereas the t-distribution is slightly skewed II. The greater the degrees of freedom, the more the t-distribution resembles the standard normal distribution. III. For small n, the t-distribution has wider tails than the standard normal curve. a. I only b. II only c. III only d. II and III e. All of the ab

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Answer 1

The following statements are true regarding the comparison of the standard normal distribution to the t distribution.

II. The greater the degrees of freedom the more the t-distribution resembles the standard normal distribution.

Since increasing the degrees of freedom, narrows tails of the curve.

III. For small n the t-distribution has wider tails than the standard normal curve.

Therefore correct choice is d. II and III.

I is False, since t distribution is also symmetric distribution, but have a wider tails.