1. Meta-Study

2. Representation of the Sampling Distribution of Y̅

3. The Sampling Distribution of

4. 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?

5. (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.

6. Example: CLT

7. Example: Normal Approximation to the Binomial Distribution

8. 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.

9. 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.

10. Histograms of Binomial Distributions