Meta-Study

Representation of the Sampling Distribution of Y̅�

The Sampling Distribution of Y̅

Example: Sampling DistributionIn 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?

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?

p

(b)

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

Example: CLT

p

Example: Normal Approximation to the Binomial Distribution

p

Example: Continuity CorrectionThis 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