Which one of the following statements about the t - distribution is TRUE()
A. The t- distribution is the appropriate distribution to use when constructing confidence intervals based on large samples.
B. Compared to the normal distribution, the t -distribution is more peaked with more area under the tails.
C. The t - distribution approaches the standard normal distribution as the number of degrees of freedom becomes large.
参考答案:C
解析:
As the number of degrees of freedom grows, the t - distribution approaches the shape of the standard normal distribution. Compared to the normal distribution, the t -distribution is less peaked with more area under the tails. When choosing a distribution, three factors must be considered: sample size, whether population variance is known, and if the distribution is normal.