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 ( $\nu$ ) is :

Answer: 33

Step-by-step solution

Step 1: Understand the concept of degrees of freedom

In a $t$ -test, the degrees of freedom ( $\nu$ ) 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, $\nu = n - 1$ , to find the value of $\nu$ .

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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\nuν) is :

Step-by-step solution

Step 1: Understand the concept of degrees of freedom

Step 2: Identify the sample size

Step 3: Calculate the degrees of freedom

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 ( $\nu$ ) is :