Question

1.) State whether this statement below is true or false? (Explain why)

Statement:
"T distribution is symmetric around zero"

Answer 1

When we use the sample standard deviation s in place of the population standard deviation to standardize the sample mean, we get an entirely new distribution - one that is similar to the normal distribution, but has greater spread.

This distribution is known as the t-distribution. A t-distribution has a bell shape. However, its tails are thicker than the normal model's.

We can see that a greater proportion of the area under the t-distribution is beyond 2 standard units from 0 than under the normal distribution.

The t-distribution, always centered at zero, has a single parameter: degrees of freedom.

Hence true