confidence level
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how confident the interval contains the population mean
Properties of the Normal Distribution
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1. There are an infinite number of normal curves
◦ The shape of any individual normal curve depends on its specific mean
and standard deviation
2. The highest point is over the mean
◦ Also the median and mode
3. The curve is symmetrical about its mean
◦ The left and right halves of the curve are mirror images
of each other
, 4. The tails of the normal extend to infinity in both
directions
◦ The tails get closer to the horizontal axis but never touch it
5. The area under the normal curve to the right of the
mean equals the area under the normal curve to the left
of the mean
◦ The area under each half is 0.5
interval estimate
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can be computed by adding and subtracting a margin of error to the point
estimate
df=
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n-1
as the degrees of freedom increase indefinitely...
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the t curve approaches the standard normal curve
, SD of the sampling distribution of x-bar is:
sample SD=
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SD/(root of n)
Population
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A set of all elements about which we
wish to draw conclusions
what happens to the width as we increase confidence level?
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width gets wider
sample mean=
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population mean
Give this one a try later!
how confident the interval contains the population mean
Properties of the Normal Distribution
Give this one a try later!
1. There are an infinite number of normal curves
◦ The shape of any individual normal curve depends on its specific mean
and standard deviation
2. The highest point is over the mean
◦ Also the median and mode
3. The curve is symmetrical about its mean
◦ The left and right halves of the curve are mirror images
of each other
, 4. The tails of the normal extend to infinity in both
directions
◦ The tails get closer to the horizontal axis but never touch it
5. The area under the normal curve to the right of the
mean equals the area under the normal curve to the left
of the mean
◦ The area under each half is 0.5
interval estimate
Give this one a try later!
can be computed by adding and subtracting a margin of error to the point
estimate
df=
Give this one a try later!
n-1
as the degrees of freedom increase indefinitely...
Give this one a try later!
the t curve approaches the standard normal curve
, SD of the sampling distribution of x-bar is:
sample SD=
Give this one a try later!
SD/(root of n)
Population
Give this one a try later!
A set of all elements about which we
wish to draw conclusions
what happens to the width as we increase confidence level?
Give this one a try later!
width gets wider
sample mean=
Give this one a try later!
population mean
