Can this be done?
Part 1 Assignment Submission & Scoring Assignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer. Assignment Scoring Your last submission is used for your score. 1. [–/1 Points] DETAILS BBBASICSTAT8M 2.1.001. MY NOTES ASK YOUR TEACHER What is the difference between a class boundary and a class limit? (Select all that apply.) Class boundaries are values halfway between the upper class limit of one class and the lower class limit of the next. Class limits are possible data values. Class boundaries are possible data values. Class boundaries are not possible data values. Class limits are not possible data values. Class boundaries specify the span of data values that fall within a class. Class limits specify the span of data values that fall within a class. Class limits are values halfway between the upper class boundary of one class and the lower class boundary of the next. 2. [–/15 Points] DETAILS BBBASICSTAT8M 2.1.005.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A data set with whole numbers has a low value of 20 and a high value of 96. Find the class width for a frequency table with seven classes. Find the class limits for a frequency table with seven classes. 3. [–/19 Points] DETAILS BBBASICSTAT8M 2.1.009. MY NOTES ASK YOUR TEACHER Look at the histogram below, which shows mileage, in kilometers per liter (km/L), for a random selection of diverse makes and aged passenger cars.† (a) Is the shape of the histogram essentially bimodal? Yes, because the histogram has one peak. Yes, because the histogram has two peaks. No, because the histogram has one peak. No, because the histogram has two peaks. (b) Jose looked at the raw data and discovered that the 54 data values included both the city and highway mileages for 27 cars. He used the city mileages for the 27 cars to make the histogram below. Using this information and the histograms shown above, construct a frequency table for the highway mileages of the same cars. Use class boundaries 16.5, 20.5, 24.5, 28.5, 32.5, 36.5, and 40.5. Class Boundaries Frequency − − − − − − 4. [–/4 Points] DETAILS BBBASICSTAT8M 2.1.010.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The following data represent salaries, in thousands of dollars, for employees of a small company. Notice the data have been sorted in increasing order. 54 55 55 57 57 59 60 65 65 65 66 68 68 69 69 70 70 70 75 75 75 75 77 82 82 82 88 89 89 91 91 97 98 98 98 280 (a) Make a histogram using the class boundaries 53.5, 99.5, 145.5, 191.5, 237.5, 283.5. (b) Look at the last data value. Does it appear to be an outlier? Could this be the owner's salary? Yes, it is an outlier and it is likely the owner's salary. Yes, it is an outlier, but it is not likely the owner's salary. No, it is not an outlier, but it is likely the owner's salary. No, it is not an outlier and it is not likely the owner's salary. (c) Eliminate the high salary of 280 thousand dollars. Make a new histogram using the class boundaries 53.5, 62.5, 71.5, 80.5, 89.5, 98.5. Does this histogram reflect the salary distribution of most of the employees better than the histogram in part (a)? Yes No 5. [–/20 Points] DETAILS BBBASICSTAT8M 2.1.011.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Histograms of random sample data are often used as an indication of the shape of the underlying population distribution. The histograms on the next page are based on random samples of size 30, 50, and 100 from the same population. 26 27 28 29 30 25 26 27 28 29 30 26 27 28 29 30 x x x (a) Using the midpoint labels of the three histograms, what would you say about the estimated range of the population data from smallest to largest? Does the bulk of the data seem to be between 26 and 30 in all three histograms? (b) The population distribution from which the samples were drawn is symmetric and mound-shaped, with the top of the mound at 10, 95% of the data between 26 and 30, and 99.7% of data between 25 and 31. How well does each histogram reflect these characteristics? 6. [–/4 Points] DETAILS BBBASICSTAT8M 2.1.013.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The ogives shown are based on U.S. Census data and show the average annual personal income per capita for each of the 50 states. The data are rounded to the nearest thousand dollars. (i) Ogive (ii) Ogive Showing Cumulative Percentage of Data (a) How were the percentages shown in graph (ii) computed? The percentages in graph (ii) were computed by dividing each of the cumulative frequencies in graph (i) by 100 and then converting those values into decimals. The percentages in graph (ii) were computed by multiplying each of the cumulative frequencies in graph (i) by 50 and then converting those values into percents. The percentages in graph (ii) were computed by dividing each of the cumulative frequencies in graph (i) by 50 and then converting those values into fractions. The percentages in graph (ii) were computed by multiplying each of the cumulative frequencies in graph (i) by 100 and then converting those values into decimals. The percentages in graph (ii) were computed by dividing each of the cumulative frequencies in graph (i) by 50 and then converting those values into percents. (b) How many states have average per capita income less than 37.5 thousand dollars? (c) How many states have average per capita income between 42.5 and 52.5 thousand dollars? (d) What percentage of the states have average per capita income more than 47.5 thousand dollars? % 7. [–/6 Points] DETAILS BBBASICSTAT8M 2.1.014. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The following ogives come from different distributions of 50 whole numbers between 1 and 60. Labels on each point give the cumulative frequency and the cumulative percentage of data. (a) In which distribution does the most data fall below 20.5? (b) In which distribution does the most data fall below 40.5? (c) In which distribution does the amount of data below 20.5 most closely match that above 30.5? (d) Which distribution seems to be skewed right? Which distribution seems to be skewed left? Which distribution seems to be mound-shaped? 8. [–/45 Points] DETAILS BBBASICSTAT8M 2.1.015. MY NOTES ASK YOUR TEACHER How long does it take to finish the 1868 km Iditarod Dog Sled Race from Anchorage to Nome, Alaska? Finish times (to the nearest hour) for 57 dogsled teams are shown below. 261 271 236 244 279 296 284 299 288 288 247 256 338 360 341 333 261 266 287 296 313 311 307 307 299 303 277 283 304 305 288 290 288 289 297 299 332 330 309 328 307 328 285 291 295 298 306 315 310 318 318 320 333 321 323 324 327 For this problem, use five classes. (a) Find the class width. (b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Give relative frequencies to 2 decimal places.) Class Limits Class Boundaries Midpoint Frequency Relative Frequency Cumulative Frequency − − − − − − − − − − (c) Draw a histogram. (d) Draw a relative-frequency histogram. (e) Categorize the basic distribution shape. uniform bimodal skewed right mound-shaped symmetrical skewed left (f) Draw an ogive. (Graph each point and the closed line segments connecting the points to create your graph.) Selection Tool Line Ray Segment Circle Vertical Parabola Horizontal Parabola Point No Solution Help 0,0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250 260 270 280 290 300 310 320 330 340 350 360 5 10 15 20 25 30 35 40 45 50 55 60 Clear Graph Delete Layer Fill WebAssign Graphing Tool Graph Layers Toggle Open/Closed · After you add an object to the graph you can use Graph Layers to view and edit its properties. 9. [–/45 Points] DETAILS BBBASICSTAT8M 2.1.019.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER What percent of undergraduate enrollment in coed colleges and universities in the United States is male? A random sample of 50 such institutions give the following data. Percent Males Enrolled in Coed Universities and Colleges 55 46 48 26 37 48 37 45 44 40 46 27 44 49 37 56 37 68 57 26 45 43 43 56 55 46 53 42 52 54 43 39 77 48 49 39 62 46 41 46 57 37 39 40 58 55 50 27 57 42 For this problem, use five classes. (a) Find the class width. (b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Round your relative frequencies to two decimal places.) Class Limits Class Boundaries Midpoint Frequency Relative Frequency Cumulative Frequency - - - - - - - - - - (c) Draw a histogram. (d) Draw a relative-frequency histogram. (e) Categorize the basic distribution shape. mound-shaped symmetric uniform or rectangular skewed left skewed right bimodal (f) Draw an ogive. (Graph each point and the closed line segments connecting the points to create your graph. This cannot be done in SALT.) Selection Tool Line Ray Segment Circle Vertical Parabola Horizontal Parabola Point No Solution Help 0,0 10 20 30 40 50 60 70 80 90 5 10 15 20 25 30 35 40 45 50 55 60 Clear Graph Delete Layer Fill WebAssign Graphing Tool Graph Layers Toggle Open/Closed · After you add an object to the graph you can use Graph Layers to view and edit its properties. 10. [–/53 Points] DETAILS BBBASICSTAT8M 2.1.020.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER "Readability Levels of Magazine Ads," by F.K. Shuptrine and D.D. McVicker, is an article in the Journal of Advertising Research. The following is a list of the number of three-syllable (or longer) words in advertising copy of randomly selected magazine advertisements. 34 21 37 31 10 24 39 10 17 18 32 17 3 10 6 5 6 6 13 22 25 3 5 2 9 3 0 4 29 26 5 5 24 15 3 8 16 9 10 3 12 10 10 10 11 12 13 1 9 43 13 14 32 24 15 Use eight classes. (a) Find the class width. (b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Round your relative frequencies to two decimal places.) Class Limits Class Boundaries Lower − Upper Lower − Upper Midpoint Frequency Relative Frequency Cumulative Frequency 0 − 5 − 6 − 11 − 12 − 17 − 18 − 23 − 24 − 29 − 30 − 35 − 36 − 41 − 42 − 47 − (c) Draw a histogram. (d) Draw a relative-frequency histogram. (e) Categorize the basic distribution shape. mound-shaped symmetrical skewed right bimodal skewed left uniform (f) Draw an ogive. (Graph each point and the closed line segments connecting the points to create your graph. This cannot be done in SALT.) Selection Tool Line Ray Segment Circle Vertical Parabola Horizontal Parabola Point No Solution Help 0,0 6 12 18 24 30 36 42 48 5 10 15 20 25 30 35 40 45 50 55 60 Clear Graph Delete Layer Fill WebAssign Graphing Tool Class Boundaries Frequency − − − − − − 54 55 55 57 57 59 60 65 65 65 66 68 68 69 69 70 70 70 75 75 75 75 77 82 82 82 88 89 89 91 91 97 98 98 98 280 (i) Ogive (ii) Ogive Showing Cumulative Percentage of Data 261 271 236 244 279 296 284 299 288 288 247 256 338 360 341 333 261 266 287 296 313 311 307 307 299 303 277 283 304 305 288 290 288 289 297 299 332 330 309 328 307 328 285 291 295 298 306 315 310 318 318 320 333 321 323 324 327 Class Limits Class Boundaries Midpoint Frequency Relative Frequency Cumulative Frequency − − − − − − − − − − Percent Males Enrolled in Coed Universities and Colleges 55 46 48 26 37 48 37 45 44 40 46 27 44 49 37 56 37 68 57 26 45 43 43 56 55 46 53 42 52 54 43 39 77 48 49 39 62 46 41 46 57 37 39 40 58 55 50