Which of the following statements about t distribution are true? (Select all tha

Question

Which of the following statements about t distribution are true? (Select all that apply.)

a) It assumes the population data is normally distributed.

b) It is used to construct confidence intervals for the population mean when population standard deviation is unknown.

c) It has less area in the tails than does the standard normal distribution.

d) It approaches the standard normal distribution as the sample size decreases.

e) It approaches the standard normal distribution as the sample size increases.

f) It assumes the population data is not normally distributed.

Explanation / Answer

Statements about t distribution which are true:

a) It assumes the population data is normally distributed.

b) It is used to construct confidence intervals for the population mean when population standard deviation is unknown.

e) It approaches the standard normal distribution as the sample size increases.

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