Intersession MTSAC
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Statistics is the science of | hiding the truth or telling a lie
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| Fill in the blanks: The applications of statistics are commonly divided into two areas,_____ statistics and ______statistics | inferential and descriptive
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| Give three examples of qualitative variables | 1) Color 2) Gender 3) Grades
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| Give three examples of quantitative variables | 1) Room temperature 2) Number of students in a room 3) Amount of coffee in a cup
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| Qualitative or Quantitative? Luna randomly selected a red ace card from a shuffled deck of playing cards | Qualitative
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| Statistic or Parameter? A sample of 80 doctors had average salary of $12,000 per month | Statistic
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| Satistic or Parameter? The GPA of all students at the college is 2.95 | Parameter
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| Ordinal | qualitative measurement where order matters i.e s, m, l coffee
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| Nominal | qualitative measurement where order doesn’t matter ie names, colors, grades
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| Interval | 90%-100%
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| Ratio | 20 oz vs 12 oz
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| Discrete or continuous? The temperature of a cup of coffee is 68.7% | Continuous- it is not a countable amount
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| Discrete or continuous? The number of students in a Statistics class | Discrete- it is a countable amount, a whole number
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| Qualitative or Quantitative? The weight of people at a basketball game | quantitative
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| Qualitative or quantitative? The color of jersey of the players | qualitative
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| 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
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| Sampling type? A stats student obtains data by interviewing his family members | convenience
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| Sampling type? The supervisor selected every 25th item for quality inspection | systematic
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| 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
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| A local newspaper reached out to 1200 voters by phone that were randomly generated by a computer | random
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| Standard deviation: find symbol and formula |
S= √S^2
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| Descriptive statistics: | Collect, organize, process and draw data and make conclusion
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| Inferential statistics: | Use result from data to make a prediction
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| Three characteristics of descriptive statistics | collection, process, organization, conclusion
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| Three characteristics of inferential statistics | Prediction, use of descriptive statistic data, data has already been collected
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| Given n=10, Ex=215 and Ex^2=4750 Find average. Round answer to one decimal place | 215/10
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| Variance: find symbol and formula | ........S^2= n∑x^2-(∑x)^2)........
........-----------------.........
...........(n(n-1))...............
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| Range rule of thumb | range/4
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| Define "usual range" with equation and percentage value | 95% of data fall within: mean + 2S and mean - 2S
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| 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
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| Find xbar of the frequency distribution table by using class midpoints and class frequencies | Use calculator: L1,L2
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| 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
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| Histogram | midpoints or boundaries and frequency
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| Ogive | boundaries and cum frequency
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| bar chart | limits and variables (like grades)
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| pie chart | percentage relative frequency and circle
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| stem plot | make sure you have a key, for 12 1|2 means 12
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| frequency polygon | midpoints plus 2 extra and frequency
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| P(A)≤0.05 A is a __________ event | rare
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| Given a table with sum|p(sum) – enter data into | L1,L2
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| P(6≤sum≤8) add up which numbers? | P(sum 6) +P(sum7)+P(sum8)
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| Addition rule P(A or B) | P(A) +P(B) - P(Aand B)
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| When filling in a venn diagram, always | Start with overlap
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| nCr what does each letter represent? | n #available, r- number we want, Combo no particular order
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| P(A and B) if independent events | P(A and B)= P(A)*P(B)
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| P(wake up with alarm)=0.9 what is chance you wouldn’t? | 1-0.9= .1
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| P(A and B) if dependent events | P(A and B) = P(A)*P(B|A)
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| Conditional Probability | P(B|A) = P(A and B)/P(A)
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| Different symbols and names for mean | X ; µ;
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| 2 symbols for standard deviation | S and Ơ
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| Select 3 cards (no replacement, no particular order) P(3 aces) | = (4C3*48C0)/52C3
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| Select 3 cards (no replacement, no particular order P(no aces) | (48C34C0)/52C3
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| Select 3 cards (no replacement, no order) P(at least 1 ace) | = 1-P(no aces)
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| 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
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| 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
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| Build sample space for three children | {BBB, BBG,BGG,GGG,GBG,BGB,GBB,GGB}
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| 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
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| 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
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