Stat 250 Review

Final Exam Review Part VI Definitions and Terms realise the major definitions and terms for example 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. Population judge Descriptive Statistic illative Statistics Parameter vs Statistics Variable a. Categorical Statistic estimates Parameter b. Quantitative estimates , ensample mean , population i. Discrete mean s, sample exemplification estimates , population ii. unvarying deviation prototype deviation Random Variable estimates P, population ? p , sample Sampling dispersions analogy proportionParameter (Defines a population) Statistic (calculated from sample to estimate a parameter) commutation Limit Theorem Law of Large Numbers Confidence take (1- )*100 Type I erroneous belief (rejecting the null hypothesis when in fact it is true) Type II demerit ( non rejecting the null hypothesis when in fact the null is not true) What is true What you did Do not retract H0 Reject H0 H0 true No erroneousness Type I break Ha True Type II Error No Error 15. Level of conditional relation (The probability of making a Type I error) 16. Interpretation of a impudence interval 17. P-value a.The probability of making a type I error based on your sample b. The probability, computed supposing the H0 to be true, that the seek statistic will take a value at least(prenominal) as extreme as that actually detect. 18. Interpretation of a test of signifi gougece (hypothesis test) Types of Problems 1. Reading and interpreting graphs (make sure you read the labels so you love units and whether the graph is frequency (counts) or relative frequency (percents, ratios, probabilities). 2. Calculating Measures of midriff a. Mean b. Median 3. Calculating Measures of spreading a. honk b.You will not have to calculate the standard deviation, but you must understand what the standard deviation is the average distance each data value is from the mean. c. Interquartile Range (Q3 Q1) i. 1st quartile ii. 2nd quartile (median) iii. 3rd qu artile 4. Shape of statistical distributions 5. Shape of distributions and effects on Mean and Median 6. Effects of outlier and skewed distribution a. Non-resistant measures of union and Spread mean and standard deviation b. Resistant measures of Center and Spread median and interquartile range 7. Boxplot and 5 number summary Min, Q1, Q2, Q3, Max 8.Binomial Distribution a. Calculating the mean , =np np(1 p) b. Calculating the standard deviation, c. Finding probabilities apply the CDF output from MINITAB 9. Calculating Probabilities for a Normal distribution (Knowing how to use skirt A, the standard normal distribution) a. Standardizing any normal random variable i. z x b. Unstandardizing any normal random variable i. x z 10. Sampling distributions a. Sampling distribution of the sample mean samples of coat n i. Mean, x= (can be calculated all the same if we do not get the shape of the distribution) ii. Standard deviation, x n the shape of the distribution) can be calculated even if we do not bed iii. Shape of have distribution 1. If population the sample came from is normal, all sample distribution distributions of any sizing are normal 2. If the shape of the population is occult or is non normal, then the take in distribution of the sample mean is normal only when if the sample size is 30 or more by the Central Limit Theorem (The shape of the sample distribution distribution becomes near Normal if the sample size is large enough. In our class a sample of size 30 or more is large enough to assume the sampling distribution is approximately Normally distributed. iv.Knowing how to compute probabilities based on the sampling distribution of the sample mean when applicable. v. Inferential Techniques based on sampling distribution when conditions are met (SRS and Normality) 1. Estimation Confidence Intervals statistic margin of error (margin of error = detailed value * standard error) a. known i. X z /2 * n ii. Sample size We can determine the samp le size deprivationed so that a specific margin of error is observed at a specified confidence level n b. z unknown X * m 2 /2 t / 2,df * s n 2. Significance Tests (Hypothesis Tests) a. nown test statistic, z0 X 0 n b. unknown test statistic, t0 X s 0 n b. Sampling distribution of the sample proportions samples of size n i. Mean, p (can be calculated even if we do not know the shape of the ? p distribution) ii. Standard deviation, p(1 P) (can be calculated even if we do not n ? p know the shape of the distribution iii. Shape of sampling distribution of the sample proportions becomes approximately normal if (our book states np? 10 and n(1-p)? 10, that is the sample successes and failures must be 10 or more. ) np(1-p)? 10 , which is conservative. iv.Inferential Techniques based on sampling distribution when conditions are met (SRS and Normality) 1. Estimation Confidence Intervals statistic margin of error (margin of error = critical value * standard error) a. ? pz /2 * ? ? p (1 p ) n i. Sample size We can determine the sample size needed so that a specific margin of error is observed at a specified confidence level n p(1 p) z /2 m 2 If a prior estimate for p is known, use it. If a prior estimate is not know, use p = 0. 5 2. Significance Tests (Hypothesis Tests) a. known test statistic, z0 ? p p0 p0 (1 p0 ) n 11.Inferential techniques for 2 sample problems (means and proportions on PowerPoint that is coming next) which are also based on Sampling distribution when conditions are met. a. You will be presumption the value of the standard error for two sample problems (two sample means dependent, you will be given the standard deviation of the differences, but you will have to calculate the standard error s .) n b. You will have to calculate the pooled proportion for the two sample proportions ? problems p x1 x2 n1 n2 c. You will have to calculate confidence intervals and do tests of significance (hypothesis tests) 2. Goodness of fit test Best course to Study 1. 2. 3. 4. 5. Go all over Test 1 and Test 2 Go over all quizzes since Test 2 Go over all your quizzes Go over Post-Tests Go over Homework What you need for the final 1. 2. 3. 4. Pencil and eraser Calculator Table A and Table C Formula Sheet you have two choices. You must choose any A or B a. HAND WRITTEN formula plane no copies. Must be the original. On an 8X11 sheet of paper, front and back, you can write whatever you wish. Hand written b. Pristine, no writing on it, copy of the formula sheet on Blackboard. Scantron will be provided.