STAT 217 Week 10 Notes
STAT 217 Week 10 Notes STAT 217-05
Popular in Statistical Concepts and Reasoning
Popular in Statistics
This 12 page Class Notes was uploaded by Sierra Taylor on Thursday June 2, 2016. The Class Notes belongs to STAT 217-05 at California Polytechnic State University San Luis Obispo taught by Dr. Karen McGaughey in Spring 2016. Since its upload, it has received 16 views. For similar materials see Statistical Concepts and Reasoning in Statistics at California Polytechnic State University San Luis Obispo.
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Date Created: 06/02/16
STAT 217: STATISTICAL METHODS In-class Final Exam Review Use JMP to help you answer these questions. Each research question below requires a confidence intervalor hypothesis test since these questions are all about the population, rather than the sample. Decide whether each requires a confidence interval or hypothesis test, then carry out the complete analysis showing all steps. Each question is referring to either the backpack-FinalReview.jmp data or thecaraccidents.jmp data from earlier in the quarter. Steps of a Confidence Interval: Steps of a Hypothesis Test: 1. Describe parameter. 1. Define Ho and Ha. 2. Check tech conditions. 2. Describe parameter(s). 3. Find interval. 3. Check tech conditions. 4. Interpret interval. 4. Find p-value. 5. Conclusion. Several years ago some Statistics students collected data on 100 Cal Poly students. Their interest was in the weights of backpacks, but otherdata was collected, as well. The data are located inbackpack-FinalReview.jmp. Open the file to see all of the data that was collected. 1. What proportion of all Cal Poly students are estimated to have back problems? Show all steps. 2. Is the proportion of female students at CP with back problems significantly higher than that of males? Show all steps. 3. Is there an association between backpack weight and the college in which a student is enrolled? Data was collected on car accidents and can be found in the file caraccidents.jmp. Open the file to see all of the data that was collected. 4. Is there an association between the age group of the driver and whether or not a cell phone was involved in the accident?Show all steps. 5. What is the difference in the proportion of car accidents in which a seat belt was worn between male and female drivers? Show all steps. STAT 217: STATISTICAL METHODS Choice of Statistical Method Explanatory Variable (EV) Response Variable(RV) Quantitative Categorical None XXXXXXX 1-sample z 2-sample independent t Categorical with 2 levels 2-sampleindependent z matched pairs t Categorical with 3 or more levels Analysis of Variance (ANOVA) Chi-square analysis 2 (F-statistic) (χ - statistic) Quantitative Correlation and Linear Regression Some Important Ideas: • What is a parameter? A statistic? • How do we measure the variability in a set of sample data? • What do small probabilities vs large probabilities tell us about the random event? • What method have we used to find probabilities this quarter?Be able to describe in detail, and use this method to determine probabilities from a simulated distribution which has dots! • What have we used probability to tell us regarding statistical studies? • What is the null distribution and why do we call it that? • How do we carry out a statistical hypothesis test and why does it work this way? • What does statistically significant mean? • What is random assignment and what is its purpose? • What is the difference between an observational study and a designed experiment? • What is a random sample and why are they important in statistics? • Why are technical conditions important? What are they? 2 • What is the Normal distribution? T-distribution? F-distributionχ -distribution? • What is a z-score? T-score? F-statisticχ2 -statistic? • What is the relationship between sample size, standard deviation (or standard error), the statistics above, and p- values? • What is a confidence interval? How do you interpret one? • What do we mean by 95% confident?90% confidence? • What is the relationship between sample size, standard deviation, confidence level, and margin of error? Note: We have used the same method/concept to determine p-values for 6 different statistical tests this quarter. You should be able to extend this method to any other statistical test you encounter.
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