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color:#7F7F7F; font-style:italic; text-align:left; vertical-align:top; border-top:.5pt solid windowtext; border-right:.5pt solid windowtext; border-bottom:none; border-left:.5pt solid windowtext; white-space:normal;} .xl164 {mso-style-parent:style20; color:#7F7F7F; font-style:italic; text-align:left; vertical-align:top; border-top:none; border-right:.5pt solid windowtext; border-bottom:.5pt solid windowtext; border-left:.5pt solid windowtext; white-space:normal;} ------=_NextPart_01C986A3.82A08940 Content-Location: file:///C:/D96BB0D3/statistics_files/tabstrip.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii"
 Index=    Philosophy   Expect   Overview   Outline   Appendix   Equations 
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Salam School
Proposed Statistics Course Curriculum
Prepared By: Ibrahim Jaber
All Rights Reserved to Salam School
 
 
 
<= /td>  
<= /td>  
= Index
= Introduction and Course Philos= ophy
= Course Expectations and Prerequisites
= Course Outline Overview=
= Course Outline
= Appendix I:  Wisconsin Standards for High Sch= ool Statistics
= Appendix II: Important Equatio= ns
<= /td>
<= /td>
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Salam School
Introduction to Statistics and Probability
Course Overview
Unit Qt./Semester Unit Overview Back to Index
I Exploring Data   Descri= bing patterns and departures from patterns (20%–30%)
Exploratory analysis of data makes use of graphical and numerical techniques to
study patterns and departures from patterns. Emphasis should be placed on
interpreting information from graphical and numerical displays and summaries.
1/= 1
or=
3/= 2
&n= bsp;
&n= bsp;
II    Planning and conducting a study (10%–15%)
Data must be collected according to a well-developed plan if valid information on a
conjecture is to be obtained. This plan includes clarifying the question and deciding
upon a method of data collection and analysis.
1/1
or
3/2
   
Sampling and Experimentation  
   
III    Explor= ing random phenomena using probability and&n= bsp; simulation (20%–30%)
Probability is the tool used for anticipating what the distribution of = data should
look like under a given model.
2/1
or
4/2
 
Anticipating Patterns  
   
IV   Estima= ting population parameters and testing hypotheses (30%–40%)

Statistical inference guides the selection of appropriate models.
2/1
or
4/2
 
Statistical Inference  
 
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Salam School
Statistics Course
This is a one semester course that can be given either in semester 1 or 2
Introduction to Statistics and Probability=
Unit Time Frame Qt./Semester Content / Essential Questions= Skills Assessment State Standards Back to Index
I Exploring Data 1 Week   Const= ructing and interpreting graphical displays of distributions of univariate data ̶= 6;Students will learn how to plot dot plot, stem plot, histogram •Class Work E.12.1 
1/= 1 ̶= 6;Center and spread  = ; •Question and Answer Sessions E.12.2
or= ̶= 6;Clusters and gaps •Quiz E.12.3
3/= 2 ̶= 6;Outliers and other unusual features •Stu= dents will learn how to create cumulative frequency plot •Homework Assignment 1<= /td> E.12.4
&n= bsp; ̶= 6;Shape    
&n= bsp;  = ;  = ;    
I Exploring Data 1 to 2 Weeks   Summa= rizing distributions of univariate data  = ; •Class Work E.12.1 
1/= 1 ̶= 6; Measuring center: median, mean ̶= 6;Understand difference between mean and median •Question and Answer Se= ssions E.12.2
or= ̶= 6; Measuring spread: range, interquartile range, standard deviation ̶= 6;Learn measuring techniques •Quiz  E.12.3
3/= 2 ̶= 6; Measuring position: quartiles, percentiles, standardized scores (z-scores= ) ̶= 6;Practice analyzing data   E.12.4
&n= bsp; ̶= 6; Using box plots  = ; •Homework Assignment 2<= /td>    
&n= bsp; ̶= 6; The effect of changing units on summary measures  = ;    
&n= bsp;  = ;  = ;    
IExploring Data 1 Week   Compa= ring distributions of univariate data   = ;   E.12.1 
1/= 1 ̶= 6; Comparing center and spread: within group, between group variation ̶= 6;Learn to use dot plots •Class Work E.12.2
or= ̶= 6; Comparing clusters and gaps  = ; •Question and Answer Sessions E.12.3
3/= 2 ̶= 6; Comparing outliers and other unusual features •Quiz  E.12.4
&n= bsp; ̶= 6; Comparing shapes ̶= 6;Understand  back-to-back stem plots     
&n= bsp;  = ; Homework Assignment 3  
&n= bsp;  = ; ̶= 6;Learn to use parallel box plots    
&n= bsp;  = ;  = ;    
IExploring Data 1 Week   Exploring bivariate data  = ; •Class Work E.12.1 
1/= 1 • Analyzing patterns in= scatter plots •Stu= dents will understand how to do transformations to achieve linearity and how to use logarithmic and power transformations
 •Question and Answer Se= ssions E.12.2
or= • Correlation and linea= rity •Quiz  E.12.3
3/= 2 ̶= 6; Least-squares regression line Homework Assignment 4 E.12.4
&n= bsp; ̶= 6; Residual plots, outliers, and influential points    
&n= bsp;    = ;    
IExploring Data 1 Week   Explo= ring categorical data  = ; •Class Work E.12.1 
1/= 1 ̶= 6; Frequency tables and bar charts •By = this time students should have acquired an understanding of the basic tools and met= hods of exploring data •Question and Answer Se= ssions E.12.2
or= ̶= 6; Marginal and joint frequencies for two-way tables •Quiz  E.12.3
3/= 2 ̶= 6; Conditional relative frequencies and association •Test - End of Unit E.12.4
&n= bsp; ̶= 6; Comparing distributions using bar charts •Homework Assignment 5<= /td>  
&n= bsp;  = ;    
&n= bsp;  = ;  = ;    
&n= bsp;  = ;  = ;    
II  1 Week   Overview of methods of data collection   •Class = Work E.12.1 
1/= 1 ̶= 6; Census •The main skill of this section is that students have = to choose a well defined plan to  collect data and decide on what are the best methods to analyze it= . •Question and Answer Se= ssions E.12.2
or= ̶= 6; Sample survey •Quiz  E.12.3
3/= 2 ̶= 6; Experiment   E.12.4
&n= bsp; ̶= 6; Observational study •Homework Assignment 6<= /td>  
Sampling and Experimentation        
II  1 Week   Plann= ing and conducting surveys  = ; •Class Work E.12.1 
1/= 1 ̶= 6; Characteristics of a well-designed and well-conducted survey •Stu= dents will learn how to use sampling methods, including simple random sampling, stratified random sampling, and cluster sampling
 •Question and Answer Se= ssions E.12.2
or= ̶= 6; Populations, samples, and random selection •Quiz  E.12.3
3/= 2 ̶= 6; Sources of bias in sampling and surveys   E.12.4
&n= bsp;  = ; •Homework Assignment 7<= /td>  
Sampling and Experimentation    = ;    
     = ;    
     = ;  = ;    
II  1 Week   Plan= ning and conducting experiments • T= he importance of completely randomized design and the use of randomized block design, including matched pairs design
 •Class Work E.12.1 
1/= 1 ̶= 6; Characteristics of a well-designed and well-conducted experiment •Question and Answer Sessions E.12.2
or= •Tre= atments, control groups, experimental units, random assignments, and replication •Quiz  E.12.3
3/= 2 •Test - End of Unit E.12.4
&n= bsp; •Sou= rces of bias and confounding, including placebo effect and blinding
 • Generalizability of results and types of conclusions that can be drawn from
observational studies, experiments, and surveys

 •Homework Assignment 8  
Sampling and Experimentation      
         
III  1 to 2  Weeks   Probability  = ; •Class = Work E.12.1 
2/1 ̶= 6; Interpreting probability, including long-run relative frequency interpretation
  = ; •Question and Answer Sessions E.12.2
or ̶= 6; Addition rule, multiplication rule, conditional probability, and independence
 ̶= 6;“Law of Large Numbers” concept •Quiz  E.12.3
4/2 ̶= 6; Discrete random variables and their probability distributions, including binomial and geometric
  = ; •Homework Assignment 9<= /td> E.12.4
  ̶= 6; Simulation of random behavior and probability distributions  = ; E.12.5
Anticipating Patterns   ̶= 6; Mean (expected value) and standard deviation of a random variable, and
linear transformation of a random variable
  = ;    
III  = 1 Week   Combi= ning independent random variables  = ; •Class Work E.12.1 
2/1 ̶= 6; Notion of independence versus dependence •Stu= dents learn to differentiate between dependent and independent processes and apply statistical methods to deal with them •Question and Answer Se= ssions E.12.2
or ̶= 6;Mean and standard deviation for sums and differences of independent random variables
 •Quiz  E.12.3
4/2  = ; •Homework Assignment 10= E.12.4
&n= bsp;  = ;    
Anticipating Patterns       E.12.5
III  1 Week   The n= ormal distribution  = ;   E.12.1 
2/1 ̶= 6; Properties of the normal distribution  = ; •Class Work E.12.2
or ̶= 6; Using tables of the normal distribution  = ; •Question and Answer Sessions E.12.3
4/2  = ; •Stu= dents will learn how to use the normal distribution as a model for measurements •Quiz  E.12.4
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Anticipating Patterns    = ; •Homework Assignment 11 E.12.5
III  1 Week   Samp= ling distributions Sampling distribution = of a difference between two independent
sample proportions
   E.12.1 
2/1 ̶= 6; Sampling distribution of a sample proportion   •Class Work E.12.2
or ̶= 6; Sampling distribution of a sample mean Sampling distribution = of a difference between two independent
sample means

 •Question and Answer Sessions E.12.3
4/2 ̶= 6; Central Limit Theorem   •Quiz  E.12.4
&n= bsp; ̶= 6; Simulation of sampling distributions   •Test - End of Unit  
Anticipating Patterns   ̶= 6;t-distribution   •Homework Assignment 12 E.12.5
&n= bsp; ̶= 6;Chi-square distribution      
&n= bsp;  = ;      
IV 1= to 2 Weeks   Estim= ation (point estimators and confidence intervals)  = ;   E.12.1 
  ̶= 6; Estimating population parameters and margins of error •Pra= ctice using large sample confidence interval for a proportion
 •Class Work E.12.2
2/1 ̶= 6; Properties of point estimators, including unbiasedness and variability •Question and Answer Se= ssions E.12.3
or ̶= 6; Logic of confidence intervals, meaning of confidence level and confidence
intervals, and properties of confidence intervals
 •Quiz  E.12.4
4/2  = ;  = ; •Test - End of Unit  
Statistical Inference    = ; •Pra= ctice using Large sample confidence interval for a difference between two proportions= •Programming Assignment= 13 E.12.5
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