From a population that is not normally distributed and whose standard deviation is not known, a sample of 50 items is selected to develop an interval estimate for µ. Which of the following statements is true?
A) The standard normal distribution can be used.
B) The t distribution with 50 degrees of freedom must be used.
C) The t distribution with 49 degrees of freedom must be used.
D) The sample size must be increased in order to develop an interval estimate.

Question

From a population that is not normally distributed and whose standard deviation is not known, a sample of 50 items is selected to develop an interval estimate for µ. Which of the following statements is true?​
A) ​The standard normal distribution can be used.
B) ​The t distribution with 50 degrees of freedom must be used.
C) ​The t distribution with 49 degrees of freedom must be used.
D) ​The sample size must be increased in order to develop an interval estimate.

Quizplus · Accepted Answer

When estimating a population mean from a sample where the population standard deviation is unknown, the t distribution is used. The degrees of freedom for the t distribution is calculated as the sample size minus one, which in this case is 50 - 1 = 49.

From a Population That Is Not Normally Distributed and Whose