Page 1 of 7 01. A few of the variables for which data were collected in a certain study include age, gender, income, and number of hours spent shopping online per month. Which of the variables is qualitative? A. B. C. D. E. Age. Gender. Income. Number of hours spent shopping online. None. Consider the following to answer the next two questions: The administration of a large university is interested in learning about the types of wellness programs that would interest its employees. To do this, they plan to survey a sample of their employees. 02. Suppose that there are five categories of employees (administration, faculty, professional staff, clerical and maintenance) and the university decides to randomly select ten individuals from each category. This sampling plan is called A. B. C. D. E. Simple Random Sampling. Stratified Sampling. Cluster Sampling. Systematic Sampling. Convenience Sampling. 03. Suppose that the university randomly selects a school (e.g., the Business School) and surveys all of the individuals (administration, faculty, professional staff, clerical and maintenance) who work in that school. This sampling plan is called A. B. C. D. E. Simple Random Sampling. Stratified Sampling. Cluster Sampling. Systematic Sampling. Convenience Sampling. Consider the following to answer the next two questions: The box-plots below show monthly sales revenue figures ($ thousands) for a discount office supply company with locations in three different regions of the U.S. (Northeast, Southeast and West). Page 2 of 7 Boxplot of Northeast, Southeast, West 200 175 Data 150 125 100 75 50 Northeast Southeast West 04. Which of the following statements is true? A. The southeast has the lowest sales revenues. B. The southeast has the lowest median sales revenue. C. The west has the lowest mean sales revenue. D. The west has the lowest median sales revenue. E. None of the above. 05. Which of the following statements is false? A. The west has the most variable sales revenues. B. The west has the largest IQR. C. The southeast has the smallest IQR. D. The northeast has the most variable sales revenues. E. The southeast has the least variable sales revenues. 06. The collection of all subjects that are being studied is A. The sample. B. The population. C. Statistical inference. D. Descriptive statistics. E. None of the above. 07. Temperature in Fahrenheit or Centigrade scale is an example of a variable that uses A. the ratio scale B. the interval scale C. the ordinal scale Page 3 of 7 D. the nominal scale E. none of the above Consider the following to answer the next four questions. Below is a histogram and the five number summary for salaries (in $) for a sample of U.S. marketing managers. Histogram of Mktg Manager Salaries 12 Frequency 10 8 6 4 2 0 60000 80000 100000 Mktg Manager Salaries 120000 Min Q1 Media n Q3 Max 4636 0 6969 3 77020 9175 0 12942 0 08. The shape of this distribution is A. symmetric. B. bimodal C. right skewed. D. left skewed. E. normal 09. The most appropriate measure of central tendency for these data is the Page 4 of 7 A. B. C. D. E. Median. Mean. Mode. Range. Standard deviation. 10. The IQR for these data is A. $83,060 B. $69,693 C. $77,020 D. $14,566 E. $22,057 11. Suppose the marketing manager who was earning $129,420 got a raise and is now earning $140,000. Which of the following statement is true? A. B. C. D. E. The mean would increase. The median would increase. The range would increase. Both A and C. All of the above 12. A student earned grades of 78, 78, 91, and 91 on her four tests. She earned 78 on the final exam and 87 on her class project. Her combined homework grade was 87. The four tests count for 40% of the final grade, the final exam counts for 30%, the project counts for 10% and the homework counts for 20%. What is her weighted mean grade? Round to one decimal place. A. 84.2 B. 82.8 C. 83.3 D. 84.3 E. none of the above 13. Identify the five-number summary of the following data set: 11, 28, 21, 7, 43, 33, 32, 37. A. 7, 16, 30, 35, 43 B. 7, 21, 30, 33, 43 C. 7, 11, 30, 37, 43 D. 7, 21, 28, 33, 43 E. none of the above 14. Find the Variance and Standard deviation for the following sample data: Page 5 of 7 7. 2 7.1 7.4 7.9 6.5 7.2 8.2 9.3 A. Variance = 0.86, Standard deviation = 0.74 B. Variance = 0.74, Standard deviation = 0.86 C. Variance = 0.64, Standard deviation = 0.80 D. Variance = 0.80, Standard deviation = 0.64 E. none of the above 15. One of the most widely used measures of dispersion is A. the mean B. the range C. the z-score D. the IQR E. none of the above The test scores of a sample of 40 students are summarized in the frequency distribution below. Use this information to do the next two problems: Score 50-59 60-69 70-79 80-89 90-99 Student 5 8 12 9 6 16. Find the mean. A 8.0 B 74.5 C 75.5 D 75.3 E None of the above 17. Find the standard deviation. A. 12.3 B. 12.5 C. 15.6 Page 6 of 7 D. 12.0 E. None of the above 18. A measurement obtained by using all the data values for a specific population is called A. A variable. B. The mean. C. The standard deviation. D. A statistic. E. A parameter. Use the following information to do the next two problems: A survey of 800 College seniors produced the following contingency table (cross-tabulation) regarding their undergraduate major and whether or not they planned to go to graduate school. Undergraduate Major Graduate School Business Engineering Other Total Yes 70 84 126 280 No 182 208 130 520 Total 252 292 256 800 19. Of those students that are majoring in Business, what percent plans to go to graduate school? A. 27.78% B. 8.75% C. 70% D. 72.22% E. none of the above 20. Among the students who plan to go to graduate school, what percent indicated \"Other\" majors? Page 7 of 7 A. 15.75% B. 45% C. 49.22% D. 32% E. none of the above Below please find the entire eBook, Introduction to Statistics, by David Lane et al. /content/enforced/60889-M_007353-01-2152/Lane et al.pdf Below please find the entire eBook, Introductory Statistics, by Barbara Illowsky et al. /content/enforced/60889-M_007353-01-2152/Illowsky et al.pdf Week 2 1. This week you must read Lane et al. Chapters 2 & 3 Illowsky et al. Chapter 2 2. Do the five problems listed in the table below. 3. Submit them in your Assignment Folder for grading. eResources Lane et al Illowsky et al Chapter 3 Problem 8 160 78 84 107 2 Page* 138 140 145 * Page numbers are approximated due to version control of the eResources, especially for Illowsky et al. eResources Chapter 3 Problem Page* 100** 212 82 274 Illowsky et al. 4 * Page numbers are approximated due to version control of the eResources, especially for Illowsky et al. ** Hint for #100: Use the formula P(E and D) = P(E)P(D|E). The problems must be submitted by the end of the Conference Week. No late assignments will be accepted. Please submit only Word or PDF files. Do not submit Excel files. Copy/paste from Excel into a Word document. Do not scan and submit handwritten assignments. The problems must be submitted by the end of the Conference Week. No late assignments will be accepted. You will need to learn how to make pie-charts, Histograms and other graphs. These can be done using Excel. I have written instructions in my notes. You may use other software if you wish. Save and submit your work as a Word or PDF file. Do not submit Excel files. Do not scan and submit handwritten graphs. You should learn how to compute the Mean, Variance and Standard Deviation using a calculator, in addition to the formulas. Please ask me for help, if you have any questions. Page 1 of 7 01. A few of the variables for which data were collected in a certain study include age, gender, income, and number of hours spent shopping online per month. Which of the variables is qualitative? A. B. C. D. E. Age. Gender. Income. Number of hours spent shopping online. None. Consider the following to answer the next two questions: The administration of a large university is interested in learning about the types of wellness programs that would interest its employees. To do this, they plan to survey a sample of their employees. 02. Suppose that there are five categories of employees (administration, faculty, professional staff, clerical and maintenance) and the university decides to randomly select ten individuals from each category. This sampling plan is called A. B. C. D. E. Simple Random Sampling. Stratified Sampling. Cluster Sampling. Systematic Sampling. Convenience Sampling. 03. Suppose that the university randomly selects a school (e.g., the Business School) and surveys all of the individuals (administration, faculty, professional staff, clerical and maintenance) who work in that school. This sampling plan is called A. B. C. D. E. Simple Random Sampling. Stratified Sampling. Cluster Sampling. Systematic Sampling. Convenience Sampling. Consider the following to answer the next two questions: The box-plots below show monthly sales revenue figures ($ thousands) for a discount office supply company with locations in three different regions of the U.S. (Northeast, Southeast and West). Page 2 of 7 Boxplot of Northeast, Southeast, West 200 175 Data 150 125 100 75 50 Northeast Southeast West 04. Which of the following statements is true? A. The southeast has the lowest sales revenues. B. The southeast has the lowest median sales revenue. C. The west has the lowest mean sales revenue. D. The west has the lowest median sales revenue. E. None of the above. 05. Which of the following statements is false? A. The west has the most variable sales revenues. B. The west has the largest IQR. C. The southeast has the smallest IQR. D. The northeast has the most variable sales revenues. E. The southeast has the least variable sales revenues. 06. The collection of all subjects that are being studied is A. The sample. B. The population. C. Statistical inference. D. Descriptive statistics. E. None of the above. 07. Temperature in Fahrenheit or Centigrade scale is an example of a variable that uses A. the ratio scale B. the interval scale C. the ordinal scale Page 3 of 7 D. the nominal scale E. none of the above Consider the following to answer the next four questions. Below is a histogram and the five number summary for salaries (in $) for a sample of U.S. marketing managers. Histogram of Mktg Manager Salaries 12 Frequency 10 8 6 4 2 0 60000 80000 100000 Mktg Manager Salaries 120000 Min Q1 Media n Q3 Max 4636 0 6969 3 77020 9175 0 12942 0 08. The shape of this distribution is A. symmetric. B. bimodal C. right skewed. D. left skewed. E. normal 09. The most appropriate measure of central tendency for these data is the Page 4 of 7 A. B. C. D. E. Median. Mean. Mode. Range. Standard deviation. 10. The IQR for these data is A. $83,060 B. $69,693 C. $77,020 D. $14,566 E. $22,057 11. Suppose the marketing manager who was earning $129,420 got a raise and is now earning $140,000. Which of the following statement is true? A. B. C. D. E. The mean would increase. The median would increase. The range would increase. Both A and C. All of the above 12. A student earned grades of 78, 78, 91, and 91 on her four tests. She earned 78 on the final exam and 87 on her class project. Her combined homework grade was 87. The four tests count for 40% of the final grade, the final exam counts for 30%, the project counts for 10% and the homework counts for 20%. What is her weighted mean grade? Round to one decimal place. A. 84.2 B. 82.8 C. 83.3 D. 84.3 E. none of the above 13. Identify the five-number summary of the following data set: 11, 28, 21, 7, 43, 33, 32, 37. A. 7, 16, 30, 35, 43 B. 7, 21, 30, 33, 43 C. 7, 11, 30, 37, 43 D. 7, 21, 28, 33, 43 E. none of the above 14. Find the Variance and Standard deviation for the following sample data: Page 5 of 7 7. 2 7.1 7.4 7.9 6.5 7.2 8.2 9.3 A. Variance = 0.86, Standard deviation = 0.74 B. Variance = 0.74, Standard deviation = 0.86 C. Variance = 0.64, Standard deviation = 0.80 D. Variance = 0.80, Standard deviation = 0.64 E. none of the above 15. One of the most widely used measures of dispersion is A. the mean B. the range C. the z-score D. the IQR E. none of the above The test scores of a sample of 40 students are summarized in the frequency distribution below. Use this information to do the next two problems: Score 50-59 60-69 70-79 80-89 90-99 Student 5 8 12 9 6 16. Find the mean. A 8.0 B 74.5 C 75.5 D 75.3 E None of the above 17. Find the standard deviation. A. 12.3 B. 12.5 C. 15.6 Page 6 of 7 D. 12.0 E. None of the above 18. A measurement obtained by using all the data values for a specific population is called A. A variable. B. The mean. C. The standard deviation. D. A statistic. E. A parameter. Use the following information to do the next two problems: A survey of 800 College seniors produced the following contingency table (cross-tabulation) regarding their undergraduate major and whether or not they planned to go to graduate school. Undergraduate Major Graduate School Business Engineering Other Total Yes 70 84 126 280 No 182 208 130 520 Total 252 292 256 800 19. Of those students that are majoring in Business, what percent plans to go to graduate school? A. 27.78% B. 8.75% C. 70% D. 72.22% E. none of the above 20. Among the students who plan to go to graduate school, what percent indicated \"Other\" majors? Page 7 of 7 A. 15.75% B. 45% C. 49.22% D. 32% E. none of the above \f\f Answer Median, Range and interquartile range. a) Construct a histogram of the data b) Complete the table # of movies 0 1 2 3 4 Frequency 5 9 6 4 1 Relative Frequency 5/25 = 0.2 9/25 = 0.36 6/25 = 0.24 4/25 = 0.16 1/25 = 0.04 Cumulative Relative frequency 0.2 0.56 0.80 0.96 1.00 There isn't a question for this information above. Solution a) Upper quartile Spread = 13-12 = 1 b) Second quartile Range = 10 - 2 = 8 c) IQR = 12 -2 = 10 d) More data is in 10 - 13 compared to 5-10. Reason: The data is skewed to the right with median towards the end i.e nearer to 10 - 13 . 50% of the data lies in 10-13 e) 2- 4 has the least data. Reason: 50% of data in the lower half is spread over a wider range of 2-10. % of underweight children Number of countries x fx Fx2 16-21.45 21.45-26.9 26.9-32.35 32.35 - 37.8 37.8-42.35 45.25-48.7 fx Mean = f 23 4 9 7 6 1 f = 50 = 1326.95 50 18.725 24.175 29.625 35.075 40.075 46.975 430.675 96.7 266.625 245.525 240.45 46.975 fx = 1326.95 f x2= 38757.9355 = 26.539 % fx f Standard Deviation = f x 2 = f 1326.95 50 = 38757.9355 50 70.840 = 8.4167 Answer Median, Range and interquartile range. a) Construct a histogram of the data b) Complete the table # of movies 0 1 2 3 4 Frequency 5 9 6 4 1 Relative Frequency 5/25 = 0.2 9/25 = 0.36 6/25 = 0.24 4/25 = 0.16 1/25 = 0.04 Cumulative Relative frequency 0.2 0.56 0.80 0.96 1.00 There isn't a question for this information above. Solution a) Upper quartile Spread = 13-12 = 1 b) Second quartile Range = 10 - 2 = 8 c) IQR = 12 -2 = 10 d) More data is in 10 - 13 compared to 5-10. Reason: The data is skewed to the right with median towards the end i.e nearer to 10 - 13 . 50% of the data lies in 10-13 e) 2- 4 has the least data. Reason: 50% of data in the lower half is spread over a wider range of 2-10. % of underweight children Number of countries x fx Fx2 16-21.45 21.45-26.9 26.9-32.35 32.35 - 37.8 37.8-42.35 45.25-48.7 fx Mean = f 23 4 9 7 6 1 f = 50 = 1326.95 50 18.725 24.175 29.625 35.075 40.075 46.975 430.675 96.7 266.625 245.525 240.45 46.975 fx = 1326.95 f x2= 38757.9355 = 26.539 % fx f Standard Deviation = f x 2 = f 1326.95 50 = 38757.9355 50 70.840 = 8.4167