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Solutions to the sample midterm 1 of the stat 2000 international course. It covers various topics in statistics, including data analysis, probability, sampling, and hypothesis testing. The solutions demonstrate how to interpret graphs, calculate theoretical probabilities, and evaluate the representativeness of samples.
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1. The answer is: a) Determining the difference between a plot with r = 1 and r = .95. [For r = 1, all points fall exactly on an increasing line, for r = .95, points are close to an increasing line but not all on this line.] 2. b) heart disease 3. d) All of the above 4. The analysis of the graph indicates that the histogram is not what you would expect to observe if the coins are fair. The histogram indicates an unusually large number of heads. 5. d) All of the above 6. c). 7. c) 47 8. d) The probability of the other is changed
10. b) This is a theoretical probability, since a Punnett square was used to determine the probabilities. 11. b) systematic sample 12. a) 74.5% 13. b) At least 75% of the states plus DC in the "32 to 37" group have teacher salaries above the median teacher salary of the "26 to 31" group 14. About 69 inches.
15. Assign the numbers 1 to 30 to the thirty students. In some way, randomly select 15 numbers between 1 and 30. The students with those numbers are assigned to the web-based approach. The other students are assigned to the textbook approach. 16. d) There is not enough information to answer the question 17. The problem is Warning #1: The sample is drawn from a list that isn't representative of the population of interest. The sample would be representative of all registered automobile owners, not all homeowners or all area residents. 18. Yes, towards the larger numbers of pets. 19. 57 and 67 20. a) 10 inches or less 21. Since a person's risk does not influence his/her spouse's risk, we have independent events and can use the special case of the AND rule and multiply the individual probabilities: (1/25)(1/25) = 1/ 22. d) P(1) = 1/6. 23. d) 500 students in the population 24. b) Try to get the person to respond anyway; if you substitute someone else the sample will be biased in favor of people with more time 25. This is linear. There are no outliers.