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Chapter 8 review (AP stats)

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Diana Uribe

on 26 April 2016

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Transcript of Chapter 8 review (AP stats)

Chapter 8

8:1 Estimating with confidence
8:2 Estimating a Population proportion
Standard Error:
is

when the standard deviation of a statistic is estimated from data (page 487)
8:3 Estimating a Population Mean
One Sample Z Interval for a Populations Mean
page 499
Confidence Interval
(page 472)
for a parameter has 2 parts:
1.)
An interval calculated from the data, which has the form: estimate + or - margin of error
Margin of Error:
tells how close the estimate tends to be to the unknown parameter in repeated random sampling
2.)
Confidence level: which gives the overall success rate of the method for calculating the confidence interval.
That is, in the C% of all possibles samples, the method would yield an interval that captures the true parameter value.
Confidence Intervals: the Basics
Point Estimator:
is a statistic that provides an estimate of a population parameter. (page 469)
One Sample T interval for a Population Mean
page 507
Interpreting Confidence levels and Confidence Intervals
(page 474)
Confidence Level:
to say that we have a
95% confidence is shorthand for "95% of all possible samples of a given size from this population will result in an interval that captures the unknown parameter.
Confidence Interval:
to interpret a C% confidence
interval for an unknown parameter, say " we are
C% confident that the interval from ___ to ___
captures the actual value of the [population parameter in context]
Exercise #3 page 481
Calculating a confidence interval
The confidence interval for estimating a population parameter has the form
statistic + or - (critical value) *(Standard Deviation of statistic)
where the statistic we used is the piont estimator for the parameter.
Conditions for constructing a
Confidence Interval
Random:
the data come from a well-designed random samples or randomized experiment
Normal:
that sampling distribution of the statistic is approximately Normal
Independent:
individual observations are independent. when sampling without replacement, the sample size
One Sample Z Interval for a Population Proportion
(page 489)
Margin of error
(page 493)
Used when Standard Deviations and mean are
known

Used when Standard Deviation is
Unknown
Random:
SRS or Randomized experiment
Normal:
Population has a normal distribution or sample size is large (n > or = to 30)
Independent:
check with the 10% condition: verify that the sample size is no more than 1/10 of the population size
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