TI-83
Excel
Sketchpad
formulas

      MAT123 Spring 2025 Notes



Comments ...

What This Course Is Really About

    In this course, you will learn to, in a math class problem or in life, look at the big picture, then use your feelings about the situation together with the measurements you will learn in the course to, mentally or mechanically, evaluate the situation then make judgements and decisions.

    This view-evaluate-decide tactic is presented in order in this way.
    1st: Look at the entire situation then gather and begin to organize information about the situation.
    2nd: Consider gathering and organizing in new ways and ways introduced to you in middle school.
    3rd: Consider a new situation and use what you learn about situations to make judgements about the new situation. asquared at MCC
    4th: Consider the math that justifies what is going on and why it is happening.
    5th: Form a hypothesis, a statement you believe, about a specific measurable item and see if your hypothesis is backed by mathematics.

                        Stay safe, A2



    Date Content in Textbook

    Wed, 1/22
1.1 Definitions of Statistics, Probability , and Key Terms
a) Distinguish populations and samples
b) Distinguish parameters and statistics
1.2 Data, Sampling, and Variation in Data and Sampling
a) Classify data into categories of categorical, quantitative, discrete, continuous.
b) Distinguish different types of sampling 1

    Fri, 1/24 Letter, Quiz 1

    Mon, 1/27
1.3 Frequency, Frequency Tables, and Levels of Measurement
a) Differentiate data by levels of measurement
b) Construct frequency, relative frequency tables, and cumulative relative frequency tables Lab 1
1.4 Experimental Design and Ethics
a) Distinguish explanatory, response, and treatments variables
b) Discuss lurking variables, placebo, and control groups

    Wed, 1/29
2.1 Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs
2.2 Histograms, Frequency Polygons, and Time Series Graphs
a) Construct by hand a Stem & Leaf display
b) Use software to create charts for categorical data (Lab 1)
c) Use software to create data displays for quantitative data
2.3 Measures of Location of the Data
a) Use software to calculate and interpret measures relative standing
b) Use IQR to identify outliers
c) Apply algorithms for percentiles
2.4 Box Plots
a) Create and interpret boxplots (manually and with software)

    Fri, 1/31 TEST 1: Chapters 1, 2.1 - 2.4 (10%)

    Mon, 2/3
2.5 Measures of the Center of the Data
a) Distinguish notations for population and sample statistics
b) Discuss Law of Large Numbers
2.6 Skewness and the Mean, Median, and Mode
a) Discuss symmetry and skewness in data
2.7 Measures of the Spread of the Data
a) Use software to calculate and interpret measures of dispersion (Lab 2)
b) Calculate z-scores for data
c) Apply the Empirical Rule and Chebyshev’s Inequality to data 3

    Wed, 2/5
12. 1 Linear Equations
12.2 Scatterplots
12.3 The Regression Equation
a) Briefly review linear equations
b) Construct scatter plots
c) Discuss the meaning of the correlation coefficient
d) Discuss the meaning of the coefficient of determination
e) Use software to calculate the regression statistics (Lab 3)
f) Interpret the meaning of the regression slope and intercept in the context of applied problems
g) Assess the suitability of a linear relationship for bivariate data using regression analysis.
Use regression equation for interpolation if appropriate.

    Fri, 2/7 Quiz 2 /Lab 2

    Mon, 2/10 open

    Wed, 2/12 open

    Fri, 2/14 TEST 2: More Chapter 2 & Ch 12 (10%)
    Mon, 2/17x No School

    Wed, 2/19

    Fri, 2/21 Quiz 3 / Lab 3

    Mon, 2/24
3.1 Terminology
a) Discuss experiments, sample spaces and axioms of probability
b) Define EVENT as a subset of the sample space
c) Discuss the Law of Large Numbers (Lab 4)
d) Discuss an OR events as a union of outcomes
e) Discuss an AND events as the intersection of outcomes
f) Discuss complement of an event
g) Define conditional probability
3.2 Independent and Mutually Exclusive Events
a) Define independent events
b) Discuss sampling with and without replacement
c) Find probabilities using complements
d) Determine if events are independent and/or mutually exclusive

    Wed, 2/26
3.3 Two Basic Rules of Probability
a) Find probabilities using the Multiplication Rule
b) Find probabilities using the Addition Rule
3.4 Contingency Tables
a) Construct two-way tables for multivariate data
b) Use contingency tables to find conditional and marginal probabilities

    Fri, 2/28 Quiz 4 / Lab 4

    Mon, 3/3
3.5 Tree and Venn Diagrams
a) Create Tree Diagrams to represent a sample space and aid to find probabilities
b) Create Venn Diagrams to represent a sample space and aid to find probabilities

    Wed, 3/5
4.1 Probability Distribution Function for a Discrete Random Variable
a) Identify the characteristics of a discrete pdf
4.2 Mean or Expected Value and Standard Deviation
a) Calculate and interpret the expected value of a discrete random variable

    Fri, 3/7 no quiz, happy semester break

    Mon, 3/10x No School

    Wed, 3/12x No School

    Fri, 3/14x No School

    Mon, 3/17
4.3 Binomial Distribution
a) Identify the characteristics of binomial experiment
b) Use the Binomial distribution to solve applied probability problems
c) Use software to construct a bar chart for probabilities of a Binomial random variable (Lab 5)

    Wed, 3/19 open

    Fri, 3/21 TEST 3: Chapters 3 & 4 (20%)

    Mon, 3/24

    Wed, 3/26
5.1 Continuous Probability Functions
a) Discuss continuous random variables – define and examples
b) Properties of continuous probability distributions
c) Setting up a Uniformly distributed random variable
5.2 The Uniform Distribution
a) Applications involving the Uniform Distribution including percentiles and conditional probabilities
b) Mean & standard deviation of the Uniform Distribution

    Fri, 3/28Quiz 5 / Lab 5

    Mon, 3/31
6.1 The Standard Normal Distribution
a) Characteristics of the standard and non-standard normal distribution
b) Define and interpret z-scores
c) Apply Empirical Rule
6.2 Using the Normal Distribution
a) Sketch, shade and calculate probabilities
b) Find percentiles
c) Solve applied problems

    Wed, 4/2
6.4 Normal Distribution (Pinkie Length)
a) Students collect data and compare with a theoretical distribution
b) Include normal probability plots, box plot, histogram (Lab 6)

    Fri, 4/4 Quiz 6 / Lab 6

    Mon, 4/7
7.1 The Central Limit Theorem for Sample Means
a) Discuss Central Limit Theorem (Lab 7)
b) Solve applied problems using the Central Limit Theorem

    Wed, 4/9 open

    Fri, 4/11 TEST 4: Chapters 5 – 7 (20%)

    Mon, 4/14

    Wed, 4/16
8.1 A Single Population Mean using the Normal Distribution
a) Define point estimate, margin of error, confidence interval estimate for the mean assuming σ is known, standard error.
b) Discuss the meaning of a confidence interval estimate (p 449 of text)
c) Interpret a CI estimate
d) Discuss width of CI and confidence level
e) Calculation of sample size needed for particular error tolerance

    Fri, 4/18x

    Mon, 4/21
8.4 Confidence Interval (Home Costs)
a) Students collect data (n=35) and construct 90% CI estimate for mean home cost in Edison NJ
b) Use s as approximation for σ when constructing CI estimate for mean home cost

    Wed, 4/23
9.1 Null and Alternative Hypotheses
a) Define null and alternative hypotheses for mean and proportion
9.2 Outcomes and the Type I and Type II Errors
a) Define Type I and Type II error and their meaning in the context of applied problems

    Fri, 4/25 Quiz 7 / Lab 7

    Mon, 4/28
9.4 Rare Events, the Sample, Decision and Conclusion
a) Define p-value
b) Discuss the relationship between p-value and hypothesis testing
c) Identify p-value for HT in a normal curve sketch.
d) Decision and conclusion for HT
9.5 Additional information and Full Hypothesis Test (HT) Examples
a) Level of significance
b) Identify random variables relevant to applied problem
c) Hypothesis test examples for mean using z distribution
d) Set level of significance, calculate p-values, make a decision, and formulate a conclusion for a HT

    Wed, 4/30 open

    Fri, 5/2 TEST 5: Chapters 8 – 9 (20%)

    Mon, 5/5 Qz/Labs: (10%), Review of Grades, Answer Students' Exam Questions

    Wed, 5/7 Final Exam (10%)

[MC,i. Home, site home page] math.htm math.htm fish 83stat2.htm algebra.htm [Words] spread sheet notes asquared at MCC [Essays] Classes [Table]
© 1/22/2025, A2, Agnes Azzolino mathnstuff.com/23sp25.w.outline.htm