Asked by devarsh Patel on Sep 28, 2024

Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 45 and 9,respectively.The mean and standard error of the sampling distribution of the sample mean are:

A) 45 and 9
B) 45/81 and 9/81
C) 45 and 9/√81
D) 45/√81 and 9/√81

Infinite Population

A hypothetical concept referring to a population of unlimited size, used as an assumption in certain statistical models.

Standard Error

A measure of the statistical accuracy of an estimate.

Sampling Distribution

A statistic's distribution of probabilities taken from a randomly selected sample.

  • Assess the standard error of the mean for samples originating from populations that are either infinite or vast.
  • Identify the connection between population parameters and the attributes of sampling distributions.