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Jeopardy

Jeopardy. Statistics Edition. $200. $200. $200. $200. $200. $200. $400. $400. $400. $400. $400. $400. $600. $600. $600. $600. $600. $600. $800. $800. $800. $800. $800. $800. $1000. $1000. $1000. $1000. $1000. $1000. Final Jeopardy. CATEGORY: Hypothesis Tests.

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Jeopardy

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  1. Jeopardy Statistics Edition

  2. $200 $200 $200 $200 $200 $200 $400 $400 $400 $400 $400 $400 $600 $600 $600 $600 $600 $600 $800 $800 $800 $800 $800 $800 $1000 $1000 $1000 $1000 $1000 $1000

  3. FinalJeopardy

  4. CATEGORY: Hypothesis Tests

  5. Final Jeopardy A sample of 80 is collected in which there are 62 successes. This is the type of error we risk making when testing the hypotheses: H0: p = 0.70 Ha: p ≠ 0.70

  6. Final Jeopardy What is a Type II error since we would Fail to Reject H0? Running 1-PropZTest z = 1.464 P-value = 0.1432

  7. Terms: $200 • The number of outcomes in event E divided by the total number of possible outcomes.

  8. ? Terms: $200 • What is P(E) or the probability of event E?

  9. Terms: $400 • Two events that cannot occur simultaneously.

  10. ? Terms: $400 • What are disjoint or mutually exclusive events?

  11. Terms: $600 • Whether or not one event occurs has no bearing on whether or not another event occurs. • P(E|F) = P(E)

  12. ? Terms: $600 • What are independent events?

  13. Terms: $800 • The probability of getting a sample comparable to the one we have under the assumption that the null hypothesis is correct.

  14. ? Terms: $800 • What is the P-value of a hypothesis test?

  15. Terms: $1000 • The value of some probability variable corresponding to the sample data collected.

  16. ? Terms: $1000 • What is the test statistic for a hypothesis test?

  17. General Probability: $200 • There are 20 marbles in a bag, 5 each of colors red, white, blue, and green. Each color is numbered 1 through 5. • One marble is selected. This is the probability that it is blue.

  18. ? General Probability: $200 • What is 5/20 = 0.25?

  19. General Probability: $400 • There are 20 marbles in a bag, 5 each of colors red, white, blue, and green. Each color is numbered 1 through 5. • One is selected at random. This is the probability that it is red or has the number 2 or 5 on it.

  20. ? General Probability: $400 • What is 11/20 = 0.55?

  21. General Probability: $600 • There are 20 marbles in a bag, 5 each of colors red, white, blue, and green. Each color is numbered 1 through 5. • Three are selected at random without replacement. This is the probability that at least one of the marbles is blue.

  22. ? General Probability: $600 • What is 1 – (15/20)*(14/19)*(13/18) = 0.6009?

  23. General Probability: $800 • A check of dorm rooms on a certain college campus revealed that 38% had refrigerators (R), 54% had TVs (T), and 21% had both. • This is the value and meaning of P(T|RC).

  24. ? General Probability: $800 • What is the probability that the room has a TV given that it does not have a refrigerator? 0.33/(0.33 + 0.29) = 0.5323?

  25. General Probability: $1000 • A recent Maryland highway safety study found that in 77% of all accidents, the driver was wearing a seatbelt (S). Of those wearing a seatbelt, 92% escaped serious injury (I) but only 63% of those not wearing a seatbelt escaped serious injury. One driver is randomly selected. • This is the meaning and value of P(SC|IC)

  26. ? General Probability: $1000 • What is the probability that the driver was not wearing a seatbelt given that (s)he did not escape serious injury?

  27. Sampling Distributions: $200 • At a certain company, it is believed that 84% of the employees approve the new benefits package that is being considered. A random sample of 68 employees is selected. • These are the center, shape, and spread of the distribution of the sample proportion that approve the benefits package.

  28. ? Sampling Distributions: $200 • What is a normal distribution with mean 0.84 and standard deviation 0.0445?

  29. Sampling Distributions: $400 • At a certain company, it is believed that 84% of the employees approve the new benefits package that is being considered. A random sample of 68 employees is selected. • This is the probability that less than 80% of the sample approve of the new benefits package.

  30. ? Sampling Distributions: $400 • What is 0.1844?

  31. Sampling Distributions: $600 • At a certain company, the average salary is $54000 with a standard deviation of $7800. A sample of 36 employees is chosen at random from this company. • These are the center, shape, and spread of the distribution of the sample mean for such samples.

  32. ? Sampling Distributions: $600 • What is a normal distribution with mean $54000 and standard deviation $1300?

  33. Sampling Distributions: $800 • At a certain company, the average salary is $54000 with a standard deviation of $7800. A sample of 36 employees is chosen at random from this company. • This is the probability that the average salary of this sample is more than $58000.

  34. ? Sampling Distributions: $800 • What is 0.0010?

  35. Sampling Distributions: $1000 • At a certain company, the average salary is $54000 with a standard deviation of $7800. A sample of 36 employees is chosen at random from this company. • These average salaries make up the highest 0.5% of all such average salaries.

  36. ? Sampling Distributions: $1000 • What is $57348.58 and above?

  37. Confidence Intervals: $200 • This is the 97.4% CI for a population mean constructed from a sample of size 15 with mean 174.6mg and standard deviation 28.3mg if we assume the population is normally distributed.

  38. ? Confidence Intervals: $200 • What is (156.41mg, 192.79mg)? • Using Tinterval with “Stats” given

  39. Confidence Intervals: $400 • This is equal to half the width of a confidence interval.

  40. ? Confidence Intervals: $400 • What is the margin of error of the confidence interval?

  41. Confidence Intervals: $600 • This is the minimum sample size that should be used if we want to construct a 95% CI for a population proportion with a margin of error of no more than 4.5 percentage points.

  42. ? Confidence Intervals: $600 • What is 475 subjects?

  43. Confidence Intervals: $800 • This is the minimum sample size that should be obtained if we want to construct a 90% CI for a population mean with margin of error no more than 7.2 when previous studies support that s = 42.8.

  44. ? Confidence Intervals: $800 • What is 96 subjects?

  45. Confidence Intervals: $1000 • This is what happens to a CI if we keep the confidence level the same but we increase the sample size.

  46. ? Confidence Intervals: $1000 • What is the margin of error decreases resulting in a more narrow confidence interval?

  47. Hyp. Tests: Proportions: $200 • This is the P-value of a two-tailed test that has test statistic z = -2.45.

  48. ? Hyp. Tests: Proportions: $200 • What is 0.0143?

  49. Hyp. Tests: Proportions: $400 • This is the P-value for a hypothesis test having: H0: p1 = 0.2, p2 = 0.4, p3 = 0.3, p4 = 0.1 Test statistic: X 2 = 10.42

  50. ? Hyp. Tests: Proportions: $400 • What is 0.0153?

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