Question

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.

Answer 1

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.

Step-by-step 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.