Which of the following is a true statement for comparing the t distribution with standard normal ?
Correct answer: A. Greater the degree of freedom, the more the t-distribution resembles the standard normal distribution
- A. Greater the degree of freedom, the more the t-distribution resembles the standard normal distribution
- B. The Normal Curve is symmetrical whereas the t-distribution are slightly skewed.
- C. The proportion of area beyond a specific value of "t" is less than the proportion of normal curve
- D. Non of these
Explanation
As the degrees of freedom increase, the estimated variance becomes more stable and the t distribution approaches the standard normal distribution. The t distribution has heavier tails for finite degrees of freedom, not lighter tails as option c suggests.
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