• 7 Pages Lecture25
    Lecture25

    School: Iowa State

    Course: Intro To Statistics

    Stat 104 Lecture 25 Sampling Distributions Qualitative/Categorical variable Population Parameter: p known. Population Sample Distribution of Sample Proportion 1 Simulation Population Reeses Pieces statweb.calpoly.edu/chance/applets/Reeses/Reese

  • 9 Pages Exam 2 Fall 2011
    Exam 2 Fall 2011

    School: Iowa State

    Course: Principles Of Statistics II

    Stat 104 Exam 2 November 4, 2011 Name: _ INSTRUCTIONS: Read the questions carefully and completely. Answer each question and show work in the space provided. Partial credit will not be given if work is not shown. When asked to explain, describe, or commen

  • 9 Pages Exam 1 Fall 2011
    Exam 1 Fall 2011

    School: Iowa State

    Course: Principles Of Statistics II

    Stat 104 Exam 1 September 30, 2011 Name: _ INSTRUCTIONS: Read the questions carefully and completely. Answer each question and show work in the space provided. Partial credit will not be given if work is not shown. When asked to explain, describe, or comm

  • 5 Pages AF_Lecture15_S12
    AF_Lecture15_S12

    School: Iowa State

    Course: Principles Of Statistics II

    Stat 104 Lecture 15 Binomial R. V. A special type of discrete random variable. Counts the number of successes in a series of independent trials. 1 Example Draw three times, with replacement, from the bag o chips. Count the number of times you win bonu

  • 4 Pages AF_Lecture11_F10
    AF_Lecture11_F10

    School: Iowa State

    Course: Principles Of Statistics II

    Stat 104 Lecture 11 Controlling Cholesterol Does a higher dose of a new drug lower cholesterol more? 30 participants. Factor drug dose. Treatments: 10 mg or 20 mg. 15 subjects randomly assigned to each treatment. Response change in cholesterol. 1 Ex

  • 4 Pages AF_Lecture19_F13
    AF_Lecture19_F13

    School: Iowa State

    Course: Principles Of Statistics II

    Stat 104 Lecture 19 Sampling Distributions Quantitative/Numerical variable Population Parameter: known. Population Sample Distribution of Sample Mean y 1 Example Population? Stat 104 students in this section. Variable? Number of children in your family.

  • 4 Pages AF_Lecture8_F13
    AF_Lecture8_F13

    School: Iowa State

    Course: Principles Of Statistics II

    Stat 104 Lecture 8 Residuals Residuals help us see if the linear model makes sense. Plot residuals versus the explanatory variable. If the plot is a random scatter of points, then the linear model is the best we can do. 1 Plot of Residuals vs Body Mass

  • 4 Pages AF_Lecture20
    AF_Lecture20

    School: Iowa State

    Course: Principles Of Statistics II

    Stat 104 Lecture 20 1 Population Shape: Skewed right. Center: Mean, = 8.08 Spread: Standard Deviation, = 6.22 2 Distribution of the Sample Mean, y n=5 Shape: Approximately normal Center: Mean, = 8.08 Spread: Standard Deviation, 6.22 SD( y ) = = =

  • 5 Pages AF_Lecture9
    AF_Lecture9

    School: Iowa State

    Course: Principles Of Statistics II

    Stat 104 Lecture 9 Gathering Data Types of Studies Experimental Active manipulation. Observational Passive observation. 1 Experiment Subjects are assigned to experimental conditions and then outcomes on the response variable are recorded. Experimental

  • 5 Pages AF_Lecture7
    AF_Lecture7

    School: Iowa State

    Course: Principles Of Statistics II

    Stat 104 Lecture 7 Linear Regression Example: Body mass (kg) and Bite force (N) for Canidae. y, Response: Bite force (N) x, Explanatory: Body mass (kg) Cases: 28 species of Canidae. 1 Correlation Coefficient Body mass and Bite force zx z y r= n 1 = 2

  • 4 Pages AF_Lecture6
    AF_Lecture6

    School: Iowa State

    Course: Principles Of Statistics II

    Stat 104 Lecture 6 Correlation Linear Association How closely do the points on the scatter plot represent a straight line? The correlation coefficient gives the direction of and quantifies the strength of the linear association between two quantitative v

  • 6 Pages AF_Lecture3_F10
    AF_Lecture3_F10

    School: Iowa State

    Course: Principles Of Statistics II

    Stat 104 Lecture 3 Summary Measures Central Tendency Sample midrange Sample median Sample mean 1 Measures of Center Sample Midrange Average of the minimum and the maximum. Body mass of Canidae: (1 + 36)/2=18.5 kilograms Greatly affected by outliers. 2 M

  • 7 Pages AF_Lecture4_F10
    AF_Lecture4_F10

    School: Iowa State

    Course: Principles Of Statistics II

    Stat 104 Lecture 4 Sample Standard Deviation ( ( y y ) ) 2 s= n 1 1 Sample Variance Almost the average squared deviation ( (y y) ) = 2 s2 n 1 2 Squared Deviations 25 16 9 9 4 40 45 1 50 55 3 1 Stat 104 Lecture 4 Sample Variance: Golf Scores s2 = (16 + 9 +

  • 7 Pages AF_Lecture2_F10
    AF_Lecture2_F10

    School: Iowa State

    Course: Principles Of Statistics II

    Stat 104 Lecture 2 Single Variable Data Categorical (Qualitative). Display Circle graph, bar graph, Pareto diagram. Numerical (Quantitative). Display dot plot, stem and leaf, histogram, box plot. Summary center, spread, position. 1 Data Who? Carnivo

  • 10 Pages Final Exam Fall 2011
    Final Exam Fall 2011

    School: Iowa State

    Course: Principles Of Statistics II

    Stat 104 Final Exam December 13, 2011 Name: _ INSTRUCTIONS: Read the questions carefully and completely. Answer each question and show work in the space provided. Partial credit will not be given if work is not shown. When asked to explain, describe, or c

  • 7 Pages lecture1
    Lecture1

    School: Iowa State

    Course: Introduction To Statistics

    Stat 104 Lecture 1 Course Objectives Develop Statistical Thinking. Display and summarize data. Evaluate probabilities. Use statistical methods to reach informed decisions. 1 Prerequisites Make sure you can do basic algebra. There will be a pre-test in l

  • 4 Pages lecture17
    Lecture17

    School: Iowa State

    Course: Introduction To Statistics

    Stat 104 Lecture 17 Normal Model 0.08 0.07 Density 0.06 0.05 0.04 0.03 0.02 0.01 0.00 40 45 50 55 60 65 70 75 80 Height (inches) 1 Normal Model Height Center: Mean, = 60 in. Spread: Standard deviation, = 6 in. 2 68-95-99.7 Rule 68% of the values fall

  • 6 Pages lecture24
    Lecture24

    School: Iowa State

    Course: Introduction To Statistics

    Stat 104 Lecture 24 Chapters 8 and 9 Quantitative variable Population Parameters: Population Inference Sample Sample Mean y 1 Example What is the mean alcohol content of beer? A random sample of 10 beers is taken and the alcohol content (%) is measured

  • 6 Pages lecture23
    Lecture23

    School: Iowa State

    Course: Introduction To Statistics

    Stat 104 Lecture 23 Interpretation Getting a value of the sample proportion of 0.904 is very unusual if one were random sampling from a population with population proportion p = 0.94. The P-value is small, therefore reject Ho. 1 Conclusion Based on thi

  • 5 Pages lecture25
    Lecture25

    School: Iowa State

    Course: Introduction To Statistics

    Stat 104 Lecture 25 t Distribution Confidence Level 80% 90% 95% 98% 99% 99.8% df 9 2.262 1 95% Confidence Interval y = 4.762 n = 10, df = (10 1) = 9 s = 0.314 t* = 2.262 2 Calculation s s y t* to y t * n n 0.314 0.314 4.762 2.262 to 4.762 2.

  • 4 Pages lecture26
    Lecture26

    School: Iowa State

    Course: Introduction To Statistics

    Stat 104 Lecture 26 Another Example What is the mean heart rate for all young adults? Could the population mean heart rate for young adults be 70 beats per minute or is it something higher? 1 Sample Data Random sample of n = 25 young adults. Heart rat

  • 8 Pages lecture28
    Lecture28

    School: Iowa State

    Course: Introduction To Statistics

    Stat 104 Lecture 28 Two Sample Data Independent samples Data are separate. Dependent samples Data are connected. 1 Independent Samples Two separate sets of individuals. One value of the response variable for each individual. 2 Dependent Samples Paire

  • 9 Pages lecture27
    Lecture27

    School: Iowa State

    Course: Introduction To Statistics

    Stat 104 Lecture 27 Two Independent Samples Do males and females at I.S.U. spend the same amount of time, on average, at the Lied Recreation Athletic Center? 1 Populations random selection 2. Male Inference 1. Female Samples random selection 2 Time (minu

  • 6 Pages lecture22
    Lecture22

    School: Iowa State

    Course: Introduction To Statistics

    Stat 104 Lecture 22 Margin of Error ME z * SE ( p) z * p(1 p) n The Margin of Error is the furthest p can be from p, for a given confidence. 1 Margin of Error ME z * SE ( p) z * Confidence z* 80% 90% p(1 p) n 95% 98% 99% 1.282 1.645 2 or 1.96 2.326 2.576

  • 7 Pages lecture21
    Lecture21

    School: Iowa State

    Course: Introduction To Statistics

    Stat 104 Lecture 21 Parameter numerical summary of the entire population. Population all items of interest. Inference Sample a few items from the population. Statistic numerical summary of the sample. 1 Poll on the Environment Pew Research Center conduct

  • 4 Pages lecture13
    Lecture13

    School: Iowa State

    Course: Introduction To Statistics

    Stat 104 Lecture 13 Special Addition Rule Addition Rule for disjoint events. P(A or B) = P(A) + P(B) P(First or Second) = P(First) + P(Second) = 329/2223 + 285/2223 = 614/2223 = 0.276 or 27.6% 1 General Addition Rule P(A or B) = P(A) + P(B) P(A and B)

  • 4 Pages lecture12
    Lecture12

    School: Iowa State

    Course: Introduction To Statistics

    Stat 104 Lecture 12 Probability Subjective (Personal) Based on feeling or opinion. Empirical Based on experience. Theoretical (Formal) Based on assumptions. 1 The Deal Bag o chips (poker chips). Some are red. Some are white. Some are blue. Draw a chi

  • 4 Pages lecture14
    Lecture14

    School: Iowa State

    Course: Introduction To Statistics

    Stat 104 Lecture 14 Probability Distributions Random variable Numerical values associated with the outcomes of a random phenomenon. 1 Probability Distributions Discrete random variable Numerical values associated with a distinct (discrete) set of point

  • 4 Pages lecture16
    Lecture16

    School: Iowa State

    Course: Introduction To Statistics

    Stat 104 Lecture 16 Another Example 38% (p =0.38) of people in the United States have O+ blood type. If ten (n = 10) people come in to donate blood, what is the chance that 3 (x = 3) of them will have O+? 1 Example n = 10, p = 0.38, x = 3 10 P (3) =

  • 4 Pages lecture18
    Lecture18

    School: Iowa State

    Course: Introduction To Statistics

    Stat 104 Lecture 18 Sampling Distribution The sampling distribution of a sample statistic displays the variation in repeated random samples from a given population. 1 Eye Color Population 1704 introductory statistics students. Parameter Proportion of t

  • 6 Pages AF_Lecture5
    AF_Lecture5

    School: Iowa State

    Course: Principles Of Statistics II

    Stat 104 Lecture 5 Association Variables Response an outcome variable whose values exhibit variability. Explanatory a variable that we use to try to explain the variability in the response. 1 Association There is an association between two variables if

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