Statistical JeopardyTopic 1 Topic 2 Topic 3 Topic 4 Topic 5 Topic 6 Topic 7

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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 averagec. Whether the student is in AP classesd. Whether the student has taken the SATe. None of these

200 Topic 1 200We collect these data from 50 male students. Which variable is categorical?a. Eye colorb. Head circumferencec. Hours of homework last weekd. Number of cigarettes smoked dailye. Number of TV sets at home

300 Topic 1 300Which of the following summaries is changed by adding a constant to each data value?I. the meanII. the medianIII. the standard deviationa. I onlyb. III onlyc. I and IId. I and IIIe. I, II, and III

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

500 Topic 1 500Which 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.

200 Topic 2 200 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.

100 Topic 2 100The 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 toa. 2b. 3c. 6d. 9e. 12

300 Topic 2 300Environmental 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 tableb. bar graphc. boxplotd. histograme. timeplot

400 Topic 2 400If 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. 1295b. 1070c. 935d. 875e. 860

500 Topic 2 500Your 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 theseb. I onlyc. II onlyd. III onlye. II and III

100 Topic 3 100The 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. 26b. 76c. 95d. 190e. None of these

200 Topic 3 200A 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 meanb. The medianc. 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.

300 Topic 3 300The 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.

400 Topic 3 400Which 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.

500 Topic 3 500The 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. 26b. 76c. 95d. 190e. None of these

100 Topic 4 100Which of the following is NOT CORRECT about a standard Normal distribution?a. The proportion of scores that satisfy 0<Z<1.5 is 0.4332.b. The proportion of scores that satisfy Z< -1.0 is 0.1587.c. The proportion of scores that satisfy Z>2.0 is 0.0228.d. The proportion of scores that satisfy Z< 1.5 is 0.9332. e. The proportion of scores that satisfy Z> -2.5 is 0.4938.

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100 Topic 5 100

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100 Topic 6 100

This table shows the distribution of marks for a spelling test. Calculate the mean mark.

Mark 4 5 6 7 8 9 10

Frequency 2 3 1 4 8 3 4

200 Topic 6 200x 0 1 2 3 4

Frequency 6 4 3 a 2

Find the value of a if the mean is 1.65.

300 Topic 6 300The 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.

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.

500 Topic 6 500In 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.

100 Topic 7 100

Differentiate:

532 x

200 Topic 7 200

Find the derivative with respect to x:

)2(2 xex

300 Topic 7 300

dxxx 32 2

Integrate:

400 Topic 7 400

dxx23 2

Integrate:

500 Topic 7 500

4

x

Find the volume of revolution when the region between y=sinx and the lines and

Is rotated about the x-axis.6

5x

Daily Double Daily Double Daily Double Daily Double Daily Double Daily Double

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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.