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22S:008 Exam 1, Feb. 22, 2001 Professor Cryer
Name:_____________________________________________________ Discussion Section: _____________
Form A
There are 40 questions. One formula is provided at the end of the exam.
A Defective Question Report is available from any of the instructors.
Be sure to enter your Section number on the answer sheet under the OPTIONAL CODES in positions JKL.
Be sure to enter your TEST FORM (A,B,C, or D) in the appropriate place.
- Which of the following descriptive statistics are resistant to outliers?
I. The mean II. The standard deviation III. The range A) I and II only B) I and III only C) II and III only D) I, II, and III E) None of the above.
- The graph at the right displays dotplots on the same scale for three distributions of 50 values with different means and different standard deviations. What is the correct order for the datasets from smallest to largest standard deviation? A) A, B, C B) A, C, B C) B, C, A D) B, A, C E) C, A, B
- Refer to the previous question and graph. What is the correct order for the datasets from smallest to largest mean? A) A, B, C B) A, C, B C) B, C, A D) B, A, C E) C, A, B
- A large company has 1000 male employees and 10,000 female employees. The CEO wants to compare the salary distributions in the two groups. Which of the following displays would be best for this comparison? A) Two stem-and-leaf diagrams B) Two dotplots C) Two frequency histograms D) Two relative frequency histograms E) Two sequence plots
45 55 65
Data A
Data B Data C
- A probability survey is a designed study in which a sample of elements is chosen from the universe using randomization. A) True B) False
- In a density histogram, the height of the rectangle for a particular class interval is equal to
A) the frequency of that interval divided by the length of that interval. B) the relative frequency of that interval divided by length of that interval. C) the relative frequency of that interval. D) the frequency of that interval. E) None of the above.
- The frequency histogram at the right shows the distribution of the percentage changes in the daily stock prices of Chrysler Corp over 167 consecutive trading days. Based on this plot we can say that: A) the prices meandered around zero for these 167 days. B) the stock price sequence could be described as random. C) the stock price sequence contains an upward trend. D) the stock price sequence contains a downward trend. E) About half the days the stock price went up and about half the days it went down.
- The average score on an exam was 78. About 68% of the scores were between 76 and 80. If you scored 84, which of the following is the most reasonable approximation to your standardized score? You may assume that the distribution of scores is mound-shaped. A) 1 B) 2 C) 3 D) 4 E) 5
- Seasonal patterns can best be found in longitudinal data using the tool:
A) Pareto diagram B) Cause-and-Effect diagram C) Flow diagram D) Deming’s process diagram E) Sequence plot with special plotting symbols.
-6.0-4.5-3.0-1.5 0.0 1.5 3.0 4.5 6.0 7.
50 40 30 20 10 0
% Change
Frequency
- A dataset of 23 values on a variable has a mean of 10.8 and a standard deviation of 3.2. The third data value is 9.2. What is the value of the deviation from the mean for this third data value? A) (9.2−10.8)/3. B) (9.2−10.8)^2 C) (9.2−10.8)^2 / D) (9.2−10.8)^2 / E) (9.2−10.8)
- Which of the following are categorical variables?
I. gender II. major III. grade point average A) I and II only B) II and III only C) I and III only D) I, II, and III E) None of the above.
- Longitudinal data were collected on a continuous variable but they were given to us only in numerical order from smallest value to largest value rather than in time order. Which of the following could we produce from data as given? I. the dotplot II. the standard deviation III. the sequence plot A) I and II only B) II and III only C) I and III only D) I, II, and III E) None of the above.
- The value of a correlation coefficient is not sensitive to outliers.
A) True B) False
- A data set consists of 200 observations. If 50 of the observations are in the class interval from 10 to 15, what is the density associated with this class interval? A) 0. B) 0. C) 5 D) 50 E) None of the above.
- The following table shows the responses of ten students to questions about their gender and their music preference.
What percentage of students preferred jazz? A) 10% B) 20% C) 30% D) 40% E) 50%
- Referring to the table in the previous question: What percentage of those who preferred rock were males?
A) 25% B) 40% C) 50% D) 60% E) 75%
- A distribution of heights is mound-shaped and has a mean of 65 inches and a standard deviation of 3 inches. About what percentage of the data values are above 68 inches? A) 5% B) 16% C) 68% D) 95% E) Nearly all.
- At the beginning of the semester, a large lecture class had 300 students. One week later, the class had 270 students. What is the percentage change? A) –11.11% B) –10.00% C) 10.00% D) 11.11% E) 90.00%
Student ID (^) Gender †
† 1 = female, 0 = male
Music Preference ‡
‡ 1 = Jazz, 2 = Rock, 3 = Other
Student ID Gender (^) PreferenceMusic
1 0 2 6 0 2 2 1 3 7 0 1 3 1 1 8 1 3 4 1 2 9 0 1 5 0 1 10 1 2
- A dataset contains 36 values with a mean of 10.4 and a standard deviation of 2.2. The third data value is y 3 = 11.5. What is the standardized value corresponding to y 3? A) −0. B) 0 C) +0. D) 1 E) None of the above.
- The display at the right shows the Minitab calculator setup to produce a new sequence in a column named %Changes from a Sales sequence. True or false: When OK is pressed this calculation will produce the percentage changes of the Sales sequence. A) True B) False
- Consider the diagram shown at the right. What do we call such a diagram? A) Pareto diagram B) Deming’s process diagram C) Cause-and-Effect Diagram D) Flow chart E) None of the above.
- The diagram at the right is called:
A) Pareto diagram B) Deming’s process diagram C) Cause-and-Effect Diagram D) Flow chart E) None of the above.
Personnel
Machines
Materials
Methods
Measurements
Environment
Measured Characteristic
- Currently, one U.S. dollar is worth 9.7 Mexican pesos. A set of 36 accounts in your Mexican subsidiary has a mean of 612 pesos and a standard deviation of 54 pesos. What are the mean and standard deviation for these 36 accounts when measured in U.S. dollars? A) $63.09 and $5. B) $5936.40 and $523. C) $63.09 and $523. D) $5936.40 and $5. E) None of the above.
- The table at the right displays a Minitab table of Gender and Year at the University for a group of 100 students. What percentage of Second Year students are male? A) 12% B) 20% C) 30% D) 60% E) None of the above.
- When the Minitab menu sequence at the right is selected, a dialog box will appear where you may enter the name of any column or variable. When OK is then clicked, which of the following will be calculated? I. the mean II. the median III. the quartiles
A) I and II only B) II and III only C) I and III only D) I, II, and III E) None of the above.
Formula provided:
Tabulated Statistics: Gender, Year
Rows: Gender Columns: Year
First Second Other All
Female 24 8 38 70 Male 6 12 12 30 All 30 20 50 100
Cell Contents -- Count
r^1
n – 1
xi – x
s x
yi – y
s y
i = 1
n
