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

Question

Dylan Rivas

Mathematics

7 April, 21:14

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

+1

Answers (1)

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Colby · 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

Step-by-step 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:

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