Chapter 7 Flashcards
Which measures can be estimated from sample data?
- The mean (most common)
- ANY SAMPLE STATISTIC (variance, skewness)
Anything that you can measure from sample data
What does estimation mean?
An educated guess on population parameters based on sample statistics
What are point estimates?
a single value is given for the population parameter. IT IS THE SAMPLE MEAN
What are confidence intervals?
a range of values that is given for the parameter (percent ranges) 2 values usually
When do you use point estimates?
when you want to be more precise and want a single value
When do you use Confidence intervals?
when you want to be more accurate and have a range of things
Explain point estimates in regards to precision and accuracy
It is the most precise estimate because it is infinitely narrow
But it is the least accurate because it has low odds of including the true population value
Explain confidence intervals in regards to precision and accuracy
Increases accuracy by having a range of values. Doesn’t have good precision but they are more helpful
Confidence means that whatever percent of the range will have the population mean in it
How doe n (sample size) affect point estimate?
n (sample size) DOES NOT affect the point estimates
How doe n (sample size) affect confidence intervals?
Larger n (sample sizes) The more narrower/shorter they will be. (more precise and more accurate)
The smaller the n (sample sizes) the more wide/taller they are (less precise and less accurate)
How do you calculate the point estimate?
NO CALCULATIONS NEEDED IT IS THE SAMPLE MEAN
How do you calculate the confidence intervals for a sample?
The mean minus the z score times the standard deviation (need to calculate the standard deviation first SD/the smple size (n) squared)
How do high and low confidence levels affect the width of confidence intervals?
Higher confidence levels (98%, 99%) the more width/height the confidence interval has
Lower confidence levels (90%, 9%) it causes narrower (less wide/shorter) confidence intervals
How do high and low Standard deviations levels (SD) affect the width of confidence intervals?
Larger/greater standard deviations lead to more wide confidence intervals (more width/taller)
Lower/lesser standard deviations lead to more narrower (less wide/shorter) confidence intervals
How do the high and low Sample Sizes (n) affect the width of confidence intervals?
Large sample sizes will lead to narrower (less wide/short)
Smaller sample sizes will lead to conference intervals that are wider/taller