Meta-Study
Representation of the Sampling
Distribution of Y̅
The Sampling Distribution of Y
Example: Sampling Distribution
In a certain population of fish, the lengths of
individual fish follow a normal distribution
with mean 54 mm and standard deviation 4.5
mm
a) What is the probability that a random chosen
fish is between 51 and 60 mm long?
p
b) Suppose we sample 4 fish, what is the
probability that the mean length of the four
fish is between 51 and 60 mm long?
Example 5.2.3: Sampling
Distribution/Population Size
This shows the sampling distribution for the samples
of various sizes from a princess bean population
(Example 5.2.2). Here the population mean is μ =
500 mg.
p
(b)
Example: CLT
p
Example: Normal Approximation to
the Binomial Distribution
p
Example: Continuity Correction
This table shows the distribution of litter size for a
population of female mice with population
mean 7.8 and SD 2.3.
Example: Continuity Correction(cont)
Table 4.1 shows the distribution of litter size for a
population of female mice with population
mean 7.8 and SD 2.3.
Histograms of Binomial Distributions