Asked by tiffani supermom on Jul 04, 2024
Verified
When constructing a confidence interval for the population mean using the standard deviation of the sample, the degrees of freedom for the t distribution equals
A) n - 1.
B) n.
C) 2n.
D) n + 1.
Degrees of Freedom
The number of independent pieces of information used in the calculation of a statistic, often representing the number of values free to vary.
T Distribution
A probability distribution used in statistical analysis when the sample size is small and the population standard deviation is unknown.
Standard Deviation
A measure that quantifies the variance or dispersion of a set of data points from their mean; indicating how spread out the data points are.
- Compute the degrees of freedom and comprehend their function within statistical evaluations.
Verified Answer
KR
K R E A A T O R EJul 10, 2024
Final Answer :
A
Explanation :
The degrees of freedom for the t distribution in constructing a confidence interval for the population mean using the standard deviation of the sample equals n - 1. This is because one degree of freedom is lost in estimating the sample mean.
Learning Objectives
- Compute the degrees of freedom and comprehend their function within statistical evaluations.