1. The best graph or chart to show the distribution of finishing times of 25000 runners of the 2012 NY Marathon is
a Pie Chart
b Bar graph
c Histogram
d Stem and Leaf
Select and enter the letter that represents the best graph for displaying the finishing times for the 2012 NY Marathon.
2. Select the best graph or chart for presenting the National Budget that has just been approved by Congress that addresses major agency allocations.
a Pie chart
b Box chart
c Histogram
d Stem and Leaf
3.
Two hundred and fifty (250) unrelated freshmen at UMUC were asked how many siblings they had. The results are shown in the graph below.
Answer the following question based on the shape of the histogram.
There is insufficient data to determine skewness.
The above graph is Left Skewed.
The above graph is Right skewed.
The above graph is Symetrical.
4.
Two hundred and fifty (250) unrelated freshmen at UMUC were asked how many siblings they had. The results are shown in the graph below.
Answer the following question based on the shape of the histogram.
There is insufficient information to determine the relationship between the mean and the median.
Mean and median are equal in value
Mean is smaller than the median.
Mean is greater than median.
5. The chart below contains 3 variables, Conference Rooms, Room Capacity and Room Size.
|
Conference Rooms
|
Room Capacity
|
Room Size (ft.)2
|
|
Frances Key
|
50
|
1500
|
|
Paul Rever
|
100
|
3000
|
|
Benjamin Franklin
|
150
|
5000
|
|
George Washington
|
250
|
7500
|
Classify the variable Room Size by selecting the appropriate letter.
Room Size is:
a Qualitative
b Quantitative
c Neither
d Cannot tell from the given information
6. Classify the variable Conference Rooms by selecting the appropriate letter
Conference Rooms are:
a Qualitative
b Quantitative
c Neither
d Cannot tell from the given information
7. A data set consists of 10 numbers. If each number in the data set has its value increased by 5 by how much will the mean of the scores in the data set change?
Enter correct answer by selecting the appropriate letter.
a The mean stays the same.
b The mean increases by 5.
c The mean increases by 50.
d None of the choices are correct.
8. A data set consists of 10 numbers. If each number in the data set has its value increased by 5 by how much will the Standard Deviation of the scores in the data set change?
Enter the correct anwer by selecting the appropriate letter.
a The stand deviation stays the same.
b The stand deviation increases by 5.
c The stand deviation increases by 50.
d None of the choices are correct.
9. A coin is flipped twenty times and landed heads fifteen times. Based upon this information, answer the following questions.
If the coin is balanced (fair) what is the probability of a head on the next toss?
Fair means the equally likely principle applies.
Enter answer as a reduced fraction or as a decimal to 2 place accuracy with a 0 to the left of the decimal point.
Do not enter answer as a percent.
10. A coin is flipped twenty times and landed heads fifteen times. Based upon this information, answer the following questions:
If the coin is not balanced (not fair) what is the probability of a head on the next toss?
Not fair means the equally likely principle does not apply.
Enter answer as a decimal to 2 place accuracy with a 0 to the left of the decimal point or a reduced fraction.
Do not enter answer as a percent.
11. The Stem-and-Leaf Diagram below depicts the length of 25 long distance telephone calls for a recently engaged couple separated due to an unexpected business trip.
Please answer the following questions.
When possible enter all answers as integers (0 decimal places)
If it is necessary to enter a non integer number, enter number to 1 decimal place.
Note: There are 25 long distance telephone calls. 2|6 = 26
|
0
|
2
|
|
1
|
5 5
|
|
2
|
2 6
|
|
3
|
2 6 6 6 7 7 7 8 9 9
|
|
4
|
3 5 8
|
|
5
|
3 5
|
|
6
|
5 7
|
|
7
|
5
|
|
8
|
8
|
|
9
|
0
|
What is the median time for the long distance phone calls?
What is the range for the long distance phone calls?
How many modes does the data set have?
Enter the modes in the four locations provided.
List the modes in the order they appear in the data set from left to right.
If there are less than 4 modes enter the modes that exist in the proper sequence with NA in each of the appropriate locations where a mode does not exist.
12. The Contingency table cross classifies institutions of higher education in the United States by region and type, Public or Private.
|
Public
|
Private
|
Sub total
|
|
Northeast
|
6
|
14
|
20
|
|
Mideast
|
4
|
12
|
16
|
|
South
|
15
|
9
|
24
|
|
West
|
15
|
25
|
40
|
|
Sub total
|
40
|
60
|
100
|
Enter all answer as a fraction (not reduced) or a decimal rounded to 2 decimal places with a 0 to the left of the decimal point.
Do not enter an answer as a percent.
Suppose an institution of higher education is selected at random. Determine the probability the institution obtained is
is located in the west?
is located in the Mideast and is a Public Institution?
is located in the West or is is a Private Institution?
is a Public Institution given the Institution located in the Northeast?
is located in the Mideast and the Northeast?
13. A shipment of TVs contains units that are 70% top quality. Thirty percent (30 %) of the TVs are poor quality.
Two TVs are randomly selected from the shipment and tested.
What is the probability that both TVs selected are top Quality?
Enter answer as a decimal rounded to 2 decimal places with a 0 to the left of the decimal point.
Do not enter answer as a percent.
14. What is the probability that one of or more of the TVs are top quality?
Enter answer as a decimal rounded to 2 decimal places with a 0 to the left of the decimal point.
Do not enter answer as a percent.
15. The average weight of 8 adult on an elevator is 200 lbs.
What is the average weight of the occupants on the elevator when an 800 pound gorilla joins the group with its human companion that weights 250 lbs.?
Enter answer as an integer.
16. A school newspaper reporter decides to randomly survey 12 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 18% of students attend Tet festivities. We are interested in the number of students who will attend the festivities.
a. In words, define the random variable X.
b. List the values that X may take on.
c. Give the distribution of X. X ~ _____ (_____,_____)
d. How many of the 12 students do we expect to attend the festivities?
e. Find the probability that at most four students will attend.
f. Find the probability that more than two students will attend
17. Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet.
a. If X = distance in feet for a fly ball, then X ~ __N__ (_250_,_50/7_)
b. If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 220 feet?
Sketch the graph. Scale the horizontal axis X. Shade the region corresponding to the probability. Find the probability.
c. Find the 80th percentile of the distribution of fly balls. Sketch the graph, and write the probability statement
18. Which of the following is NOT TRUE about the distribution for averages?
a. The mean, median, and mode are equal.
b. The area under the curve is one.
c. The curve never touches the x-axis.
d. The curve is skewed to the right.
19. A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly selected adults are given an IQ tesst, what is the probability that the sample mean scores will be between 85 and 125 points?
20. Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and
a standard deviation of 50 feet. We randomly sample 49 fly balls.
a. If X ¯= average distance in feet for 49 fly balls, then X¯~ _______(_______,_______)
b. What is the probability that the 49 balls traveled an average of less than 240 feet? Sketch the graph. Scale the horizontal axis for X¯. Shade the region corresponding to the probability. Find the probability.
c. Find the 80th percentile of the distribution of the average of 49 fly balls.