rogo0034 said:Homework Statement
Homework Equations
The Attempt at a Solution
I'm confused actually how to go about this. Sounds very simple, but when i do what they suggest, 'first, find the variance of (n-1)s2/σ2
i get larger variances rather than smaller, which makes no sense. should i be using the chart for this? (below)
As the degrees of freedom increase, the variance decreases. This means that there is less variability in the data and the values are becoming more consistent.
Yes, as the sample size increases, the variance also decreases. This is because a larger sample size provides more data points, resulting in a more accurate representation of the population.
Yes, there is a limit to how much the variance can decrease. As the sample size and degrees of freedom approach infinity, the variance will approach a minimum value known as the population variance.
Degrees of freedom take into account the number of independent pieces of information in a dataset. It is important to consider this when analyzing data because it affects the reliability and accuracy of statistical tests and conclusions drawn from the data.
No, the variance will always decrease with increasing degrees of freedom and sample size. This is because as more data is collected, the values become more consistent and the variability decreases.