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# 501 assignment1

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### 501 assignment1

1. 1. 1 BA 501: Assignment 1: Chapters: 1, 2, and 3: Total 125 points: due by Midnight (11:59 pm), Sunday, June 10th , 2012 True/False Questions carry 3 points each, Multiple Choices carry 4 points each and the Essay type questions carry 7 points each. The total is 125 points. True / False Questions (Type T for true and F for False) Chapters 1 and 2 1. The weight of a Hamburger patty is a Discrete variable. 2. If we examine all items from the population, we are conducting a Census of the population. 3. When we wish to summarize the proportion (or fraction) of items in a class we use the frequency distribution for each class. 4. When establishing the classes for a frequency table it is general rule that the more classes you use the better your frequency table will be. 5. If we sample without replacement, we do not place the unit chosen on a particular selection back into the population. 6. Letter Grade is an example of an Interval scale variable. Chapter 3 7. The income distribution is skewed to the right; therefore the Median Income must be greater than the Mean Income. 8. The range of the measurement is the largest measurement minus the smallest measurement. 9. The median is said to be less resistant to extreme values. Multiple Choice Questions (mark answer with underline and/or bold face or highlight) Chapters 1 and 2 1. The two types of qualitative variables are: A. Ordinal and ratio
2. 2. 2 B. Interval and ordinal C. Nominal and ordinal D. Interval and ratio E. Nominative and interval 2. When we are choosing a random sample and we place chosen units back into the population, we are: A. Sampling without Replacement B. Sampling with Replacement C. Using a Systematic Sample D. Using a Voluntary Response Sample 3. Which of the following is a Nominal variable? A. Air Temperature B. Bank Account Balance C. Daily Sales in a Store D. Whether a Person Has a Traffic Violation E. Value of Company Stock 4. Temperature (in degrees Fahrenheit) is an example of a(n) ________ variable. A. Nominative B. Ordinal C. Interval D. Ratio 5. College entrance exam scores, such as GMAT scores, are an example of a(n) ________________ variable. A. Ordinal B. Ratio C. Nominative D. Interval 6 When developing a frequency distribution the class (group), intervals must be A. Large B. Small C. Whole numbers D. Mutually exclusive E. Equal
3. 3. 3 7. A(n) ______ is a graph of a cumulative distribution. A. Histogram B. Scatter plot C. Ogive plot D. Frequency Polygon 8. When developing a frequency distribution the class (group), intervals should be A. Large B. Small C. Integer D. Mutually exclusive E. Equal 9. If there are 50 values in a data set, how many classes should be created for a frequency histogram? A. 4 B. 5 C. 6 D. 7 E. 8 Chapter 3 10. All of the following are measures of central tendency except the A. Median B. Range C. Mean D. Mode 11. Time to degree has become a "hot" topic with federal legislators. At one state university it was necessary to do a quick calculation when one of the local congressmen called the president. Twenty students were randomly selected from the most recent graduating class and the number of semesters they were enrolled was calculated (mean=9.6) 7, 8, 10, 11, 8, 6, 10, 9, 9, 8, 13, 12, 8, 11, 11, 14, 8, 7, 10, 12 What is the standard deviation? A. 8 B. 2.162 C. 9.5 D. 4.674 E. 21.846
4. 4. 4 12. If the mean, median and mode for a given population all equal 25, then we know that its distribution is A. Bimodal B. Skewed to the right C. Symmetric D. Skewed to the left 13. If one intends to compare the relative variation between two samples involving two different quantitative variables with different measurement scales, then the most appropriate way is to compare the two samples: A. Standard deviations B. Variances C. Coefficient of variations D. Ranges E. Interquartile ranges 14. In a statistic class, 10 scores were randomly selected with the following results were obtained: 74, 72, 77, 77, 71, 68, 65, 77, 67, and 66. What is the median? A. 71.5 B. 72.0 C. 77.0 D. 71.0 E. 74.0 Essay Type Questions (7 points each) Chapters 1 and 2 1. Consider the following data on distances traveled by people to visit the local amusement park. Distance Frequency 1-8 miles 16 8-15 miles 12 15-22 miles 10 22-29 miles 8 29-36 miles 4 Expand and construct the table adding columns for relative frequency and cumulative relative frequency.
5. 5. 5 2. For the above Table (in question 1) construct the histogram of frequencies, plot the frequency polygon and the Ogive curve using Excel. 3. Fill in the missing components of the following frequency distribution constructed for a sample size of 50. (Use simple calculator and knowledge about frequency table) 4. The number of weekly sales calls by a sample of 25 pharmaceutical salespersons is below: 25, 55, 45, 35, 35, 30, 25, 45, 35, 30, 33, 28, 46, 31, 38, 41, 48, 38, 27, 29, 37, 33, 30, 40, and 50. Construct a histogram and plot the frequency polygon. (Use Excel: Instructions given in Instructions Set2 and also in Textbook Appendix 2 of Chapter 2). 5. Math test anxiety can be found throughout the general population. A study of 116 seniors at a local high school was conducted. The following table was produced from the data. Complete the missing parts. (Round the frequencies to the nearest whole number. Note that cumulative relative frequency is shown as Cum Freq Dist in the last column) Chapter 3 6. The following frequency table summarizes the distances in miles of 100 patients from a regional hospital. Distance Frequency 0-2 40 2-4 30
6. 6. 6 4-6 20 6-8 10 Calculate the sample variance and standard deviation for this data (since it is a case of grouped data- use group or class midpoints in the formula in place of X values, and first calculate the sample mean).