Statistical Tests for Probability Distributions

1. Which Test? Probability Distributions Describing Data Probability Random Variables 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

2. The answer is: A test used to determine whether there is evidence to support the claim that more than 40% of older drivers speed from a survey that found 49 of 88 randomly selected older drivers admitted speeding.

3. The answer in the form of a question is: What is a one-sample z-test for proportions?

4. The answer is: This is a interval used to determine the time discomfort subsided from a sample of 40 people complaining of allergies taking an antihistamine with an average of 18 minutes and a standard deviation of 4 minutes.

5. The answer in the form of a question is: What is a one-sample t-test for means?

6. The answer is: A test used to see if there is a significant difference between adoption rates of male and female college-age students from a random sample of students where 6% of the 473 men and 4% of the 552 women were adopted.

7. The answer in the form of a question is: What is a two-sample z-test for proportions?

8. The answer is: A test used to see if the primary reasons for emergency room visits are similar in four major hospitals. A random sample of 100 patients from each of four major hospital emergency rooms was used and the primary reasons were categorized as accident, illegal activity, illness, or other.

9. The answer in the form of a question is: What is a chi-square test for homogeneity?

10. The answer is: A test used to determine any evidence that high blood sugar levels in teenagers are related to amount of candy eaten. Doctors offer candies to 60 teenagers, recording the number of candies consumed by each. One hour later they test the blood sugar level for each person.

11. The answer in the form of a question is: What is a linear regression t-test for slope?

12. The answer is: The probability that at least 5 out of a committee of 12 people being picked randomly for a new promotion. The company has 45% females.

13. The answer in the form of a question is: What is .696?

14. The answer is: The probability that a secretary working in a temporary position gets a call to come to work by the third day of the week. The probability that on any given day is 40% that he gets a call.

15. The answer in the form of a question is: What is .78?

16. The answer is: The expected profit for the lottery which costs $1.00 to enter and has a first prize of $1000, a second prize of $500, and two third prizes of $100. 5000 tickets were sold.

17. The answer in the form of a question is: What is $-0.66?

18. The answer is: The expected long jump distance for this athlete if he has the following distribution of distances.

19. The answer in the form of a question is: What is 11.9 feet?

20. The answer is: The expected long jump distance for this athlete if he has the following distribution of distances. What is the standard deviation of his distance?

21. The answer in the form of a question is: What is 1.14 feet?

22. The answer is: P(X=4) if X and Y are independent variables and the joint probability P(X=3, Y=1) = .04

23. The answer in the form of a question is: What is .2?

24. The answer is: The expected value of X + Y if X and Y are independent random variables and E(X)=16 and E(Y)=36.

25. The answer in the form of a question is: What is 52?

26. The answer is: The Var(5X) if X is a random variable and Var(X)=16.

27. The answer in the form of a question is: What is 400?

28. The answer is: The Var(2X+1) if X is a random variable and Var(X)=4.

29. The answer in the form of a question is: What are 16?

30. The answer is: The Standard Deviation(2X+1) if X is a random variable and Var(X)=4.

31. The answer in the form of a question is: What is 4?

32. The answer is: Two events that have no common outcomes are said to be this.

33. The answer in the form of a question is: What is disjoint or mutually exclusive?

34. The answer is: This states that as the number of repetitions of a chance experiment increases, the chance that the relative frequency of occurrence for an event will differ from the true probability of the event by more than any small number approaches zero.

35. The answer in the form of a question is: What is the Law of Large Numbers?

36. The answer is: This type of probability is the probability of the event A given that the event B is known to have occurred.

37. The answer in the form of a question is: What is a conditional probability?

38. The answer is: Two events are said to be this if the chance of one occurring is not affected by our knowledge that the other has occurred.

39. The answer in the form of a question is: What is independent?

40. The answer is: This is the event consisting of all events not in A.

41. The answer in the form of a question is: What is the complement of A?

42. The answer is: This is a numerical variable whose value depends on the outcome of a chance experiment and whose set of possible values is a collection of isolated points.

43. The answer in the form of a question is: What is a discrete random variable?

44. The answer is: This is a numerical variable whose value depends on the outcome of a chance experiment and whose set of possible values includes an entire interval of values.

45. The answer in the form of a question is: What is a continuous random variable?

46. The answer is: This is the probability distribution of a random variable x defined as the number of successes observed when the experiment is performed.

47. The answer in the form of a question is: What is the binomial probability distribution?

48. The answer is: A continuous probability distribution that is bell-shaped and symmetric is known as this.

49. The answer in the form of a question is: What is the normal probability distribution?

50. The answer is: This states that as the size n of a simple random sample increases, the shape of the sampling distribution of the sample means tends toward normality regardless of the shape of the underlying distribution.