In a t-test, if your n=459, your df is:

a. 459
b. 460
c. 458
d. a& c

DF = 458

Step-by-step explanation:

In statistics, T-test have an extensive application. T-tests are used in hypothesis testing or inference about the population mean when the population standard deviation is not known. Nevertheless, they are used in making inference in paired samples or dependent samples t-test as well as independent samples.

The degrees of freedom, DF, is a characteristic of the student's t distribution which is used in T-tests. In a simple T-test;

DF = n - 1

where n is the sample size

Given n is 459, DF = 459 - 1 = 458

Therefore, DF = 458

Step-by-step explanation:

the most handy way to solve the question is Polynomial long division which is done below:

since our remainder is 0 we'll put the answer in P(x) form only

note: please see the answer in the app for a better view