For the purpose of t-test of significance, if a random sample of size 34 is drawn from a normal population, then the degree of freedom (ν) is :
Get the complete, step-by-step math solution for: "For the purpose of t-test of significance, if a random sample of size 34 is drawn from a normal population, then the degree of freedom ( ) is :". Powered by SolveForX AI math tutor.
Step-by-Step Solution
Step 1: Understand the concept of degrees of freedom
In a t -test, the degrees of freedom (ν) represent the number of independent pieces of information available to estimate a parameter. When estimating the population variance from a sample, one degree of freedom is lost because the sample mean is used in the calculation.
Step 2: Identify the sample size
The problem states that a random sample of size 34 is drawn from a normal population. Here, n represents the sample size.
Step 3: Calculate the degrees of freedom
Substitute the sample size n=34 into the formula for degrees of freedom, ν=n−1, to find the value of ν.