Question

Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are doing inference for a sample mean. Find endpoints of a t-distribution with 1% beyond them in each tail if the sample has size n=20. Round your answer to three decimal places.

Answer 1

Answer:

The endpoints of a t-distribution with 1% beyond them in each tail if the sample has size n=20 is ±2.539

Step-by-step explanation:

Consider the provided information.

It is given that the value of n = 20.

Calculate the degree of freedom as shown below:

$df=n-1$

$df=20-1$

$df=19$

It is given that t-distribution with 1% beyond them in each tail.

Therefore the value of α = 0.01

Now use the t distribution table to find the critical value with α = 0.01 and degree of freedom 19.

The critical value with α = 0.01 and df = 19 is ±2.539

Hence, the endpoints of a t-distribution with 1% beyond them in each tail if the sample has size n=20 is ±2.539