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confidence interval

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A confidence interval is a range of values used to estimate an unknown population parameter with a certain degree of confidence. Learn how to calculate and interpret confidence intervals with this guide.

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Chapter 6




Confidence Intervals

,§ 6.1




Confidence
Intervals for the
Mean (Large
Samples)

,Point Estimate for Population
μ
A point estimate is a single value estimate for a
population parameter. The most unbiased point
estimate of the population mean, , is the sample
mean, .
Example:
A random sample of 32 textbook prices (rounded to the nearest
dollar) is taken from a local college bookstore. Find a point
estimate for the population mean, .
34 34 38 45 45 45 45 54
56 65 65 66 67 67 68 74
  74.22
79 86 87 87 87 88 90 90
94 95 96 98 98 101 110 121

The point estimate for the population mean of
textbooks in the bookstore is $74.22.
Biostatistics I (BI 210)

, Interval Estimate
An interval estimate is an interval, or range of
values, used to estimate a population parameter.

Point estimate
for textbooks

74.22

interval estimate

How confident do we want to be that the interval
estimate contains the population mean, μ?



Biostatistics I (BI 210)
Larson & Farber, Elementary Statistics: Picturing the World, 3e 4

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