Which of the following are true? select one or more:
a. the t-distribution is dependent on the sample size.
b. the t-distribution does not depend on the sample size.
c. the t-distribution has more values at the extremes than a standard normal distribution.
d. the t-distribution has fewer values at the extremes than a standard normal distribution.
e. the t-distribution is bell-shaped and centered at its degrees of freedom.
f. the t-distribution is bell-shaped and centered at 0.
g. with larger samples, the t-distribution is closer to a normal distribution.
h. with smaller samples, the t-distribution is closer to a normal distribution.

a. The t-distribution is dependent on the sample size.

c. The t-distribution has more values at the extremes than a standard normal distribution.

f. The t-distribution is bell-shaped and centered at 0.

Explanation:

T-distribution is used in statistics and probability is a part of distribution and it looks similar to the normal distribution curve. T-distribution is also known as Student t-distribution.

a. The t-distribution is dependent on the sample size.

-- This statement is true.

   The t-distribution curve depends on the sample size. They are mostly used for smaller sample size.

c. The t-distribution has more values at the extremes than a standard normal distribution.

-- This statement is true.

   The t-distribution is similar to the normal distribution and is bell shaped and is symmetric, but it has heavier tails.

f. The t-distribution is bell-shaped and centered at 0.

-- This statement is true.

   The t-distribution is bell shaped an zero at center.

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