SOLUTION: As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution is? For a one-tailed test (low

Algebra.Com
Question 234358: As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution is?
For a one-tailed test (lower tail), a sample size of 15 at 95% confidence, t =
For a one-tailed test (upper tail), a sample size of 16 at 90% confidence, t =
A two-tailed test is performed at 95% confidence. The p-value is determined to be 0.09. The null hypothesis is

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution is?
As n increases the difference gets smaller.
----------------------------------------------------------------
For a one-tailed test (lower tail), a sample size of 15 at 95% confidence,
t = invT(0.05,14) = -1.7613
----------------------------------------
For a one-tailed test (upper tail), a sample size of 16 at 90% confidence,
t = invT(0.95,15) = 1.7531
----------------------------------------------
A two-tailed test is performed at 95% confidence. The p-value is determined to be 0.09. The null hypothesis is
---
Fail to reject Ho.
============================================
Cheers,
Stan H.

RELATED QUESTIONS

What happens to the t-distribution as the number of degrees of freedom increases? (answered by robertb)
If the degrees of freedom in a t distribution increase, difference between the t values... (answered by jim_thompson5910)
In a study using 13 samples, and in which the population variance is unknown, the... (answered by jim_thompson5910)
In a study using 8 samples, and in which the population variance is unknown, the... (answered by jim_thompson5910)
The table t value associated with the upper 5% of the t distribution and 12 degrees of... (answered by Boreal)
From a population which can only be approximated by a normal distribution, a sample of... (answered by jim_thompson5910)
Consider a t distribution with 20 degrees of freedom. Find the value of such that... (answered by reviewermath)
The chi-square distribution becomes more symmetrical as A. the chi-square value... (answered by robertb)
Consider a t distribution with degrees of freedom. Compute . Round your answer to at... (answered by stanbon)