Question

As the sample size increases, the t-distribution becomes more similar to the ________ distribution. a. normal b. binomial c. chi-square d. multinominal e. exponential

Answer 1

As the sample size increases, the t-distribution becomes more similar to the normal distribution.

Option: A

Explanation:

Student t-distribution is any member of a group or family of constant probability distributions that emerge in circumstances where the sample size is limited and the standard deviation of the population is unspecified when calculating the mean of a naturally distributed population.

The z-distribution implies you are conscious of the normal population deviation (never in case) when used for sample means. The t-distribution is focused on using the standard sample deviation as an approximation of the standard deviation in population.