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STA2023: Activities

**Spring 2020, Broward College**

**In this course the Statistical Software R and RStudio will be used to conduct statistical analysis. **

**01/07:** Orientation, Introduction to the course (R, RStudio). Preview and Statistical Thinking.

Chapter 2: Frequency Distributions, Histograms, Stem and Leaf Plots. Download Normtemp excel file (Data taken from the Journal of Statistics Education online data archive. Norm temp in F for 130 individuals, dataset includes gender and heart rate.)

**Lab 1** RStudio. Practice 1 and Practice2

**01/14:** Chapter 3: Measures of center, measures of variation, measures of relative standing and boxplots. Charts that matters. Summary Chap 1, 2,3.

Practice 3. Practice3 answers **in R**Studio. Chapters 1, 2, 3 concepts summary pdf.

**Lab 2** RStudio.

**01/21**. Chapter 4: intro to Probabililty. Basic concepts, addition and multiplication rule. Complements and conditional probability, counting rules, permutations, combinations, problems involving combinations. Odds.

Practice4. **Lab 3** RStudio.

**01/28**: Review for Test 1 consists of: Review01, Review01 answers** in R****.**

Example of Hw question** in R** using Excel.

**02/04. Test 1** (Chapters 1, 2, 3 & 4). Additional formulas.

**02/11:** Probability distributions. Binomial Probability distribution.

Chapter 5 Notes. **Lab 4** RStudio. Practice5. Practice5 answers in** R**Studio.

Additional questions: Two binomial probability experiments.

Answer to Two Binomial experiments using **R**.

**02/18:** The standard Normal distribution. Applications. Central Limit theorem.

**Lab 5** RStudio. Practice 06. Practice 06 Ans** in R****.**

**Central Limit Theorem: **

Regardless of the population distribution model, as the sample size increases, the sample mean tends to be normally distributed around the population mean.

**T-Distribution:**

The t distribution, also known as Student t-distribution, is a probability distribution that is used to estimate population parameters when the sample size is small and when the population variance is unknown.

**02/25:** Confidence intervals or intervals estimate: Estimating a Population proportion and a Population mean. **Lab 6** RStudio.

Practice 7. Practice 7 answ** in R****.**

**03/10:** Review 02. Review answers** in R**.

**03/24:** **Test 2** (Chapters 5, 6 & 7).

**Rare Event Rule for Inferential Statistics:** if under a given assumption, the probability of a particular observed event is extremely rare, we conclude that the assumption is probably incorrect.

**03/31:** Hypotesis Testing. Hypothesis testing** in R** for STA2023.

**Lab 7** RSudio. Practice08. Practice08 Ans **in R****.**

*Hypothesis Testing examples to work and discuss in class.

*Worked answers to examples here **with R****.**

Inferences about two proportions. Inferences about two means.

Notes, comparing two groups. Independent samples, Practice 9. Practice 9 Ans *in R**.*

TwoPropTesting. Answers **in R.**

**04/07: **Review3. Review 3 Ans **in R**.

**04/09: Test 3.**

**04/14:**Regression and Correlation,

**Lab 8**RStudio.

**04/21:**Tests of Independence, Chi-Sq tests.

**Lab 9**RStudio.

**04/28**:

**Final exam**.

**Mathematics of a Lady Tasting Tea**

By SIR RONALD A. FISHER

**R code:** > barplot(dbinom(x = 0:10, size = 10, prob = 0.5),names.arg = 0:10,space=0, main="Binomial dist histogram for n=10, p=.5")

Probability: The Deck of Cards.

A deck of cards consists of 4 suits, 13 cards each for a total of 52 cards. The four suits are: **Spades**, **Hearts, Diamonds**, and **Clubs.** Each suit contains an A (Ace), numbers
from 2 to 10, and three face cards: **J**, The Jack;** Q**, the Queen and **K**, the King.

Colors: Hearts and Diamonds are red, Spades and Clubs are black.

**Spades**, **Hearts, Diamonds**, **Clubs**: