Meta-Study. Representation of the Sampling Distribution of Y̅

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Presentation transcript:

Meta-Study

Representation of the Sampling Distribution of Y̅

The Sampling Distribution of

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? 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?

(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.

Example: CLT

Example: Normal Approximation to the Binomial Distribution

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