11.       Scores on the SAT verbal test in recent years follow approximately the N(515, 109) distribution.

Reference: Ref 3-8

 

The proportion of students scoring between 460 and 550 is closest to

           

A.        0.681.

B.        0.626.

C.        0.309.

D.        0.317.

 

12.       Using the standard Normal distribution tables, the area under the standard Normal curve corresponding to –0.5 < Z < 1.2 is

           

A.        0.5764.

B.        0.2815.

C.        0.8849.

D.        0.3085.

 

13.       The stemplot below displays midterm exam scores for the 34 students taking a Calculus course. The highest possible test score was 100. The teacher declared that an exam grade of 65 or higher was good enough for a grade of “C” or better.

 

Reference: Ref 1-5

 

The percent of students earning a grade of “C” or higher (as declared by the teacher) is closest to

           

A.        35%.

B.        80%.

C.        65%.

D.        50%.

 

14.       The exam scores (out of 100 points) for all students taking an introductory Statistics course are used to construct the following boxplot.

Reference: Ref 2-3

 

Based on this boxplot, the interquartile range is closest to

           

A.        80.

B.        25.

C.        10.

D.        50.

 

15.       Below is a scatterplot of number of home runs versus number of stolen bases for major league teams in 2009. American League teams are represented by filled circles and National League teams by open circles.

 

We conclude that

           

A.        all American League teams hit more home runs and stole more bases than did National League teams.

B.        there is a weak association for both leagues.

C.        there is a strong negative association for American League teams but a positive association for National League teams.

D.        there is a strong positive association for American League teams but a negative association for National League teams.

 

16.       Which of the following statements is correct?

           

A.        A negative value for the correlation r indicates the data are strongly unassociated.

B.        The correlation always has the same units as the x variable, but not the y variable.

C.        Changing the units of measurements of x or y does not change the value of the correlation r.

D.        The correlation always has the same units as the y variable, but not the x variable.

 

17.       The following histogram represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. In each class interval, the left endpoint is included but not the right, so the class intervals are 10 ≤ rate < 15, 15 ≤ rate < 20, etc.

Reference: Ref 1-4

 

What percent of the schools have an acceptance rate below 15%?

           

A.        1%

B.        12%

C.        16%

D.        4%

 

18.       Which of the following sets of four numbers has the greatest standard deviation? Don't compute!

           

A.        0, 1, 2, 3

B.        5, 5, 5, 5

C.        7, 8, 9, 10

D.        0, 0, 10, 10

 

19.       Scores on a university exam are Normally distributed with a mean of 78 and a standard deviation of 8. The professor teaching the class declares that a score of 70 or higher is required for a grade of at least “C.”

Reference: Ref 3-2

 

Using the 68-95-99.7 rule, what percentage of students score below 62?

           

A.        16%

B.        2.5%

C.        5%

D.        32%

 

20.       Using the standard Normal distribution tables, the area under the standard Normal curve corresponding to Z > –1.62 is

           

A.        0.0044.

B.        0.9956.

C.        0.9474.

D.        0.0526.

 

21.       For the following density curve, the median is

           

A.         2.00.

B.         0.50.

C.         1.50.

D.         3.50.

 

22.       A stemplot of ages of 18 faculty members in a college math department follows. 4|3 represents 43 years.

 

Reference: Ref 2-2

 

The median age (in years) of the faculty members at Wilmington State is

           

A.        39.

B.        49.

C.        47.5.

D.        45.

 

23.       Scores on the SAT verbal test in recent years follow approximately the N(515, 109) distribution.

Reference: Ref 3-8

 

The proportion of students scoring at least 600 is closest to

           

A.         0.218.

B.         0.782.

C.         0.184.

D.         0.082.

 

24.       A violin student records the number of hours she spends practicing during each of nine consecutive weeks.

6.2

           

5.0

           

4.3

           

7.4

           

5.8

           

7.2

           

8.4

           

1.2

           

6.3

 

Reference: Ref 2-1

 

What is the interquartile range (IQR) for this data?

           

A.         2.65 hours

B.         3.20 hours

C.         1.65 hours

D.         3.00 hours

 

 

 

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