Which of the following statements is true when small samples are used to estimate the true population mean where the population standard deviation is unknown?
A) The standard normal distribution must be used to obtain the critical value.
B) The t distribution must be used to obtain the critical value.
C) The margin of error for the confidence interval estimate tend to be very small.
D) All of these.
E) None of these.

Question

Quizplus · Accepted Answer

When small samples are used to estimate the true population mean where the population standard deviation is unknown, the t-distribution should be used to obtain the critical value. The margin of error for the confidence interval estimate tends to be larger than if a larger sample was used. Options A and C are incorrect as the standard normal distribution cannot be used and the margin of error tends to be larger. Option D is incorrect as only option B is true.

Which of the Following Statements Is True When Small Samples