- Sampling Distribution of Sample Means
- Exact distribution
- Normal population with known variance
- Normal population with unknown variance
- Asymtotpic distributions (CLT)
- Sampling distribution of sample proportions
- Sampling distribution related to sample variances of normal populations
- Single variance: $(n-1)s^2/\sigma^2 \to \chi^2_{n-1}$
- ratio id two sample variances: F distribution
- Notes and code
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- Base R Functions for Distributions
- Normal distribution:
rnorm(), dnorm(), pnorm(), pnorm()
- t Distribution:
rt(), dt(), pt(), qt()
- $\chi^2$ Distribution:
rchisq(), dchisq(), pchisq(), qchisq()
- F Distribution:
rf(), df(), pf(), qf()
- Assignment #2: Write a short essay describing the normal, t, chi-square, and F distributions, their assumptions, and their connections.
- Due:Tuessday. 2/10/2026 at 11:30 PM,
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