Question

Give 2 similarities and one difference when comparing the z and t distributions to each other.

Answer 1

similarities

1) shape

2) distributions

The standard normal (or Z-distribution), is the most common normal distribution, with a mean of 0 and standard deviation of 1. The t-distribution can be thought of as a cousin of the standard normal distribution — it looks similar in that it’s centered at zero and has a basic bell-shape, but it’s shorter and flatter around the center than the Z-distribution.

difference

t test

1) T-test refers to a type of parametric test that is applied to identify, how the means of two sets of data differ from one another when variance is not given.

2) Student-t distribution

3) Unknown population variance

4) small sample Size

z test

1) Z-test implies a hypothesis test which ascertains if the means of two datasets are different from each other when variance is given.

2) Normal distribution

3) Known population variance

4)  Large sample Size