RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

T DISTRIBUTION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
If the sample size n = 12, will it be applicable to use t-distribution?
A
YES
B
NO
C
Either A or B
D
None of the above
Explanation: 

Detailed explanation-1: -A sample size beyond 30 results in the approximately normal shape and the parameters (mean and variance) of t distribution also coincide with normal at this point. Hence, the student t distribution is used when the sample size is less than 30.

Detailed explanation-2: -The degrees of freedom represent the number of values in a statistical calculation that are free to vary. In the case of the t-distribution, the degrees of freedom are N-1 as one degree of freedom is reserved for estimating the mean, and N-1 degrees remain for estimating the variability.

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