3. Statistical Jeopardy Topic 1Topic 2Topic 3Topic 4Topic 5Topic 6Topic 7 100 200 300 400 500

4. 100 Topic 1 100 School administrators collect data on students attending the school. Which of the following variables is quantitative? a. Class (freshman, sophomore, junior, senior) b. Grade point average c. Whether the student is in AP classes d. Whether the student has taken the SAT e. None of these

5. 200 Topic 1 200 We collect these data from 50 male students. Which variable is categorical? a. Eye color b. Head circumference c. Hours of homework last week d. Number of cigarettes smoked daily e. Number of TV sets at home

6. 300 Topic 1 300 Which of the following summaries is changed by adding a constant to each data value? I. the mean II. the median III. the standard deviation a. I only b. III only c. I and II d. I and III e. I, II, and III

7. 400 Topic 1 400 Suppose that a Normal model described student scores in a history class. Parker has a standardized score (z- score) of +2.5. This means Parker a. is 2.5 points above average b. is 2.5 standard deviations above average for the class c. has a standard deviation of 2.5 d. has a score that is 2.5 times the average for the class e. None of the above

8. 500 Topic 1 500 Which of the following statements is NOT true? a. In a symmetric distribution, the mean and the median are equal. b. The first quartile is equivalent to the twenty-fifth percentile. c. In a symmetric distribution, the median is halfway between the first and third quartiles. d. The median is always greater than the mean. e. The range is the difference between the largest and the smallest observation in the data set.

9. 200 Topic 2 200 n The mean salary of all female workers is $35000. The mean salary of all the male workers is $41000. What is true about the mean salary of all workers? a. It must be $38000. b. It must be larger than the median salary. c. It could be any number between $35000 and $41000. d. It must be larger than $38000. e. It cannot be larger than $40000.

10. 100 Topic 2 100 The distribution of the heights of students in a large class is roughly Normal. Moreover, the average height is 68 inches, and approximately 95% of the heights are between 62 and 74 inches. Thus, the standard deviation of the height distribution is approximately equal to a. 2 b. 3 c. 6 d. 9 e. 12

11. 300 Topic 2 300 Environmental researchers have collected rain acidity data for several decades. They want to see if there is any evidence that attempts to reduce industrial pollution have produced a trend toward less acidic rainfall. They should display their data in a(n)... a. contingency table b. bar graph c. boxplot d. histogram e. timeplot

12. 400 Topic 2 400 If a store runs out of advertised material during a sale, customers become upset, and the store loses not only the sale but also goodwill. From past experience, a music store finds that the mean number of CDs sold in a sale is 845, the variance is 225, and a histogram of the demand is approximately Normal. The manager is willing to accept a 2.5% chance that a CD will be sold out. About how many CDs should the manager order for an upcoming sale? a. 1295 b. 1070 c. 935 d. 875 e. 860

13. 500 Topic 2 500 Your stats teacher tells you your test score was the 3rd quartile for the class. Which is true? I. You got a 75% on the test. II. You can't really tell what this means without knowing the standard deviation. III. You can't really tell what this means unless the class distribution is nearly Normal. a. None of these b. I only c. II only d. III only e. II and III

14. 100 Topic 3 100 The five number summary for scores on a statistics exam is 11, 35, 61, 70, 79. In all, 380 students took the test. About how many had scores between 35 and 61? a. 26 b. 76 c. 95 d. 190 e. None of these

15. 200 Topic 3 200 A reporter wishes to portray baseball players as overpaid. Which measure of center should he report as the average salary of major league players? a. The mean b. The median c. Either the mean or median. It doesn't matter since they will be equal. d. Neither the mean nor the median. Both will be much lower than the actual average salary. e. The standard deviation should be used to show the great disparity between the astronomical salaries of the few superstars and the salaries of the rest of the players.

16. 300 Topic 3 300 The mean salary of all female workers is $35000. The mean salary of all the male workers is $41000. What is true about the mean salary of all workers? a. It must be $38000. b. It must be larger than the median salary. c. It could be any number between $35000 and $41000. d. It must be larger than $38000. e. It cannot be larger than $40000.

17. 400 Topic 3 400 Which of the following statements is NOT true? a. In a symmetric distribution, the mean and the median are equal. b. The first quartile is equivalent to the twenty-fifth percentile. c. In a symmetric distribution, the median is halfway between the first and third quartiles. d. The median is always greater than the mean. e. The range is the difference between the largest and the smallest observation in the data set.

18. 500 Topic 3 500 The five number summary for scores on a statistics exam is 11, 35, 61, 70, 79. In all, 380 students took the test. About how many had scores between 35 and 61? a. 26 b. 76 c. 95 d. 190 e. None of these

19. 100 Topic 4 100 Which of the following is NOT CORRECT about a standard Normal distribution? a. The proportion of scores that satisfy 0 2.0 is 0.0228. d. The proportion of scores that satisfy Z -2.5 is 0.4938.

20. 200 Topic 4 200

21. 300 Topic 4 300

22. 400 Topic 4 400

23. 500 Topic 4 500

24. 100 Topic 5 100

25. 200 Topic 5 200

26. 300 Topic 5 300

27. 400 Topic 5 400

28. 500 Topic 5 500

29. 100 Topic 6 100 This table shows the distribution of marks for a spelling test. Calculate the mean mark. Mark45678910 Frequency2314834

30. 200 Topic 6 200 x01234 Frequency643a2 Find the value of a if the mean is 1.65.

31. 300 Topic 6 300 The length of members of a certain species of fish is normally distributed with a mean of 40 cm and a standard deviation of 5 cm. Find the probability that a fish is longer than 45 cm.

32. 400 Topic 6 400 Two dice are rolled and the sum of the two numbers that face up is recorded. Find the probability that the sum of the two numbers is more than 3 but less than 8.

33. 500 Topic 6 500 In a class of 30 students, 17 have brown hair, 12 have blue eyes, and 4 have neither brown hair nor blue eyes. Create a Venn Diagram to represent this situation and show how many students have both brown hair and blue eyes.

34. 100 Topic 7 100 Differentiate:

35. 200 Topic 7 200 Find the derivative with respect to x:

36. 300 Topic 7 300 Integrate:

37. 400 Topic 7 400 Integrate:

38. 500 Topic 7 500 Find the volume of revolution when the region between y=sinx and the lines and Is rotated about the x-axis.

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40. The weight of mice is normally distributed with a mean of 54 grams and a standard deviation of 12 grams. The bottom 12% of the mice weigh less than k grams. Find k.