PSYC 3101 1st Edition Final Exam Study GuideYou need to be able to:- Compute probabilities- Compute general algebra and summation (order of operations)- Compute measures of central tendency- Compute measures of variability- Compute frequency distributions (area under curves, z values, standardized values, percentiles)- Compute sampling distribution of means (area under curves, z values, standardized values, percentiles)- Compute power- Compute confidence intervals (when know sigma, when don’t know sigma)- Do t-test independent samples*- Do one-way ANOVA: independent samples*- Do one-way ANOVA: repeated measures*- Do 2-way between-subjects ANOVA*- Do Pearson correlation*- Interpret regression line (equation of line, how to predict Y)- Compute nonparametric tests (Chi square: one-sample; two sample)- Know definitions, concepts from chapters 9b-17 and general stats concepts*be able to determine which test to use, be able to show how you would put data into the computer, be able to interpret printout with 4 steps (INCLUDING DIRECTION), compute explained variance, report statistic in APA style)Probabilities:12 red hearts (1-12)12 red diamonds (1-12)12 blue suns (1-12)12 blue diamonds (1-12)48 totalCalculate: P(6)=4/48P(card<6)=20/48P(red or diamond) =36/48P(red and diamond)=12/48P(sun | blue) =12/24Summation: Find Σ((3x^2)-4)/4yX Y X^2 3(X^2) (3X^2)-4 4Y ((3X^2)-4)/4Y3 -1 9 27 23 -4 -5.752 3 4 12 8 12 .6676 2 36 108 104 8 131 9 1 3 -1 36 -.0288 1 64 192 188 4 47=54.89Measures of Central Tendency and Variability:Mean= 28/7=4Mode=1Median=3Range from 1 to 9 or 9(largest-smallest+1)s=sqrt((176-((28)^2/7))/6)=sqrt(10.67)=3.27s^2=10.67Interquartile range= Q3-Q1=8-1=7Semi interquartile range=(Q3-Q1)/2=3.5Frequency Distribution: Chicken egg weights are normally distributed with mean of 2.7oz and SD of 1.1oz. Draw and label distribution. Draw a curve with 2.7 in the middle, label mu and sigma. My chickens are in coops of 12 birds each. Draw distribution of average weight per coop. Label mu sub m and sigma sub m. (Sigma sub m= 1.1/sqrt(12)=.032What is percentile rank of egg that weighs 2.9oz?Z=x-mu/sigma=2.9-2.7/1.1=.2/1.1=.18=57.14%Power:Let’s say we spend an average of 120 minutes in REM sleep per night with SD=10. Drunk people lose 8 minutes of REM. If I have a group of 25 drunk people, what is the power with 2 tails and alpha=.05?Mu-120Sigma-10X X^21 11 12 42 94 168 649 81Mu(alt)=112n=25Draw null true graph with zcv at -1.96 and +1.96 and shade these lines. Label mu sub m and sigma sub m.Mcv=(-1.96)(2)+120=116.08New z=116.08-112/2=2.04Power=97.93%Draw null false graph and shade everything to the left of the line. Compute Confidence Intervals: Determine population weight of dogs. 28 dogs mean weight=95lbs. DogLog Info says large dogs have population stddev of 9lbs. Predict population mean dog weight with 95% confidence.