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# Stats Chapter 1-3

### Intersession MTSAC

Statistics is the science of hiding the truth or telling a lie
Fill in the blanks: The applications of statistics are commonly divided into two areas,_____ statistics and ______statistics inferential and descriptive
Give three examples of qualitative variables 1) Color 2) Gender 3) Grades
Give three examples of quantitative variables 1) Room temperature 2) Number of students in a room 3) Amount of coffee in a cup
Qualitative or Quantitative? Luna randomly selected a red ace card from a shuffled deck of playing cards Qualitative
Statistic or Parameter? A sample of 80 doctors had average salary of \$12,000 per month Statistic
Satistic or Parameter? The GPA of all students at the college is 2.95 Parameter
Ordinal qualitative measurement where order matters i.e s, m, l coffee
Nominal qualitative measurement where order doesn’t matter ie names, colors, grades
Interval 90%-100%
Ratio 20 oz vs 12 oz
Discrete or continuous? The temperature of a cup of coffee is 68.7% Continuous- it is not a countable amount
Discrete or continuous? The number of students in a Statistics class Discrete- it is a countable amount, a whole number
Qualitative or Quantitative? The weight of people at a basketball game quantitative
Qualitative or quantitative? The color of jersey of the players qualitative
Sampling type? 25 students were selected from each of the F,S,J,S classes with 350,430,520 and 125 students respectively stratified select a certain amount from each category
Sampling type? A stats student obtains data by interviewing his family members convenience
Sampling type? The supervisor selected every 25th item for quality inspection systematic
Sampling type? A medical researcher contacted every cancer patient from randomly selected 25 hospitals cluster: randomly selected groups and then everyone is sampled from each group vs stratified: each group is chosen and then only a sampling from each group is used
A local newspaper reached out to 1200 voters by phone that were randomly generated by a computer random
Standard deviation: find symbol and formula S= √S^2
Descriptive statistics: Collect, organize, process and draw data and make conclusion
Inferential statistics: Use result from data to make a prediction
Three characteristics of descriptive statistics collection, process, organization, conclusion
Three characteristics of inferential statistics Prediction, use of descriptive statistic data, data has already been collected
Given n=10, Ex=215 and Ex^2=4750 Find average. Round answer to one decimal place 215/10
Variance: find symbol and formula ........S^2= n∑x^2-(∑x)^2)........ ........-----------------......... ...........(n(n-1))...............
Range rule of thumb range/4
Define "usual range" with equation and percentage value 95% of data fall within: mean + 2S and mean - 2S
Find Pk L=k/100 * (n) if decimal : round up and find the number in that location of the sorted data if whole number: find that number and the one before it. Take there sum and divide by 2
Find xbar of the frequency distribution table by using class midpoints and class frequencies Use calculator: L1,L2
What is the empirical rule? 68% of data will fall between xbar+S and xbar-S 95% of data will fall between xbar+2S and xbar-2S (usual) 99.7% of data will fall between xbar+3S and xbar-3S
Histogram midpoints or boundaries and frequency
Ogive boundaries and cum frequency
bar chart limits and variables (like grades)
pie chart percentage relative frequency and circle
stem plot make sure you have a key, for 12 1|2 means 12
frequency polygon midpoints plus 2 extra and frequency
P(A)≤0.05 A is a __________ event rare
Given a table with sum|p(sum) – enter data into L1,L2
P(6≤sum≤8) add up which numbers? P(sum 6) +P(sum7)+P(sum8)
Addition rule P(A or B) P(A) +P(B) - P(Aand B)
nCr what does each letter represent? n #available, r- number we want, Combo no particular order
P(A and B) if independent events P(A and B)= P(A)*P(B)
P(wake up with alarm)=0.9 what is chance you wouldn’t? 1-0.9= .1
P(A and B) if dependent events P(A and B) = P(A)*P(B|A)
Conditional Probability P(B|A) = P(A and B)/P(A)
Different symbols and names for mean X ; µ;
2 symbols for standard deviation S and Ơ
Select 3 cards (no replacement, no particular order) P(3 aces) = (4C3*48C0)/52C3
Select 3 cards (no replacement, no particular order P(no aces) (48C34C0)/52C3
Select 3 cards (no replacement, no order) P(at least 1 ace) = 1-P(no aces)
How Build Table To find expected value set up table net gain|P(net gain) then… negative for spent, then pos+neg from winnings|P(you don’t win) then Prob you do. P(you dont win) is just the amount of people involved excluding you, ie 39/40. Prob you do is 1/40
How do you find expected value # set up table and plug values into your calculator using 1- var stats. If µ is 0 then its a wash, if it is negative then you lost money, if it is positive you earned money. An insurance would want it to be negative
Build sample space for three children {BBB, BBG,BGG,GGG,GBG,BGB,GBB,GGB}
If you have a sample tree how do you find the probability of one scenario? multiply the branch leading up to the tip of it
If you have a sample tree how do you find the probability of 3 scenarios? multiply each branch then add, or if it is "at least" find the branches that dont work and subtract their sum from 1
Created by: ok2bpure