Question

In regard to t-distribution and Z-distribution, which of the following statement is true?​

Answer 1

Answer:

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Answer 2

The correct statement is The greater the df, the more the t-distributions resemble the standard normal distribution.

• A t-distribution is also called the student’s t-distribution. It is a hypothetical probability distribution.
• The t-distribution table is used to decide proportions linked with z-scores. This table is used to find the ratio for t-statistics.
• A standard normal table is likewise referred to as the z-score table. This table is used for the values of the cumulative distribution function of the normal distribution.
• Z-Score, additionally known as the standard score, tells how many standard deviations the quantity is from the mean.

(The complete question is: Which of the following is a true statement regarding the comparison of t-distributions and Z-distribution?

a) The normal distribution is symmetrical whereas the t-distributions are slightly skewed.

b) The proportion of area beyond a specific value of t is less than the proportion of area beyond the corresponding value of z.

c) The greater the df, the more the t-distributions resemble the standard normal distribution.

d) All of the above.)