Question

Which of the following are true? Select one or more:

The t-distribution is skewed to the left The t-distribution is centered at 1.0
The t-distribution is bell shaped
The t-distribution has fewer values at the extremes than a standard normal distribution
The t-distribution has more values at the extremes than a standard normal distribution
The t-distribution is centered at 0

Answer 1

(c) The t-distribution is bell shaped

(e) The t-distribution has more values at the extremes than a standard normal distribution

(f) The t-distribution is centered at 0

Explanation:

When the sample size is small or population variance is unknown, and we have to estimate population parameter then t- probability distribution is used.

The t-distribution has properties as follows:

1. The mean of t-distribution is 0. Thus, option (f) is correct.
2. t-distribution is normal. Thus, option (c) is correct.
3. As compare to standard normal distribution, t-distribution has more values at the extremes. Thus, option (e) is correct.