Question

When does the​ t-distribution approach the standard normal​ distribution? Choose the correct answer below. A. When the standard deviation of the sample data becomes​ larger, as larger sample standard deviations better estimate population standard deviations B. When the sample size​ decreases, because the standard deviation of the sample data better estimates the population standard deviation for smaller sample sizes C. When the sample size​ increases, because the standard deviation of the sample data better estimates the population standard deviation for larger sample sizes D. When the sample size​ decreases, because the standard deviation of the distribution of sample means better estimates the population standard deviation for smaller sample sizes E. When the sample size​ increases, because the standard deviation of the distribution of sample means better estimates the population standard deviation for larger sample sizes

Answer 1

E. When the sample size​ increases, because the standard deviation of the distribution of sample means better estimates the population standard deviation for larger sample sizes.

Explanation:

• T distribution is similar to the normal distribution and is seen when the estimates of the variance are based on the degree of freedom and has a relatively more score in its tail and has a greater change of extreme values.