In this section you learned about another branch of inferential statistics: confidence intervals
In this section you learned about another branch of inferential statistics: confidence intervals
What is the definition of a point estimate?
For qualitative data, we use ____ as a point estimate for ____
For quantitative data, we use ___ as a point estimate for ___
What is the definition of an interval estimate? An interval of numbers around the point estimate that we will have a certain level._____________________________________________
Draw a picture of how the point estimate, margin of error and interval estimate are all related.
A higher level of confidence makes a (wider/narrower) interval.
A larger sample size makes the width of the interval (wider/narrower/stay the same).
Fill in the following as you work through your given problems in MyOpenMath
1. If the sample size (increases/decreases) from _____ to ______, the confidence interval will …
2. If the confidence level (increases/decreases) from _____ to ______, the confidence interval will …
3. If the confidence level (increases/decreases) from _____ to ______, the confidence interval will …
4. If the sample size (increases/decreases) from _____ to ______, the confidence interval will …
5. a. individual object: ___ high school basketball player___________________________________________
b. Variable information collected from each object: _____height______________________________
What type of variable is this? quantitative-discrete quantitative-continuous qualitative
c. Given: 95% confidence interval for μ__: ( 8 , 26 )
Interpret in context: We are 95% confident that the mean height of all high school basketball players is/are between 8 inches and 26 inches
d. What is the value of the point estimate for μ? _ __ = __ _______ __inches____ (symbol, value, units)
e. What is the margin of error associated with this interval? ME = ____________ ________
f. Draw a picture that shows the relation between the point estimate, the interval estimate and the
margin of error.
6. a. individual object: Harper statistics student______________________________________________
b. Variable information collected from each object: final exam score___________________________________
What type of variable is this? quantitative-discrete quantitative-continuous qualitative
c. Given: 95% confidence interval for _ μ_: ( 149 , 160 )points
Interpret in context: We are 95% confident that the mean final exam score of all harper statistics student is/are between 149 points and 160 points.____________________________________________________________
_______________________________________________________________________________
d. What is the value of the point estimate for μ? X ?= _________ _points_____ (symbol, value, units)
e. What is the margin of error associated with this interval? ME = ________ ___points _________ ________
f. Draw a picture that shows the relation between the point estimate, the interval estimate and the
margin of error.
7. a. individual object: high school basketball player ______________________________________________
b. Variable information collected from each object: played basketball in college ___________________________________
What type of variable is this? quantitative-discrete quantitative-continuous qualitative
c. Given: 95% confidence interval for _ p _: ( 68% , 72% )
Interpret in context: We are 95% confident that the percentage of all high school basketball players that played basketball in college is between 68% and 72%____________________________________________________________
d. What is the value of the point estimate for μ? ___ = _______ ___%___ (symbol, value, units)
e. What is the margin of error associated with this interval? ME = __________ ___% _____
f. Draw a picture that shows the relation between the point estimate, the interval estimate and the
8. a. individual object: incoming student______________________________________________
b. Variable information collected from each object: whether or not they are left handed___________________________________
What type of variable is this? quantitative-discrete quantitative-continuous qualitative
c. Given: 95% confidence interval for _
p_: ( 9.3% , 11% )
Interpret in context: We are 95% confident that the percentage of all incoming students that are left-handed is between 9.3% and 11%
d. What is the value of the point estimate for μ? _p ?___ = __________ ___%___ (symbol, value, units)
e. What is the margin of error associated with this interval? ME = ___________ __%______
f. Draw a picture that shows the relation between the point estimate, the interval estimate and the
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