MAT 3650 Mid-Term Exam

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1MAT3650 Mid-Term Exam50 QuestionsOpen BookStudents will have all week to complete the examNo collaboration amongst students
1. Data may be classified by one of the four levels of measurement. What is the name of the lowest level?a) intervalb) nominalc) ordinald) ratioe) simple
2. Data may be classified by one of the four levels of measurement. What is the name of the highest level?a) intervalb) nominalc) ordinald) ratioe) simple
3. What level of measurement is suitable for putting data into categories?a) intervalb) nominalc) ordinald) ratioe) simple
4. Define: parametera) A parameter is quantitative measurement.b) A parameter is a numerical measurement describing an aspect from a population.c) A parameter is a numerical measurement describing an aspect from a sample.d) A parameter is qualitative measurement.e) A parameter is a numerical measurement that never changes
.5. Identify the variable in the information below.The archeological site of Tara is more than 4000 years old. Tradition states that Tara was the seat of the highkings of Ireland. Because of its archeological importance, Tara has received extensive study (Reference: Tara:An Archeological survey by Conor Newman, Royal Irish Academy, Dublin). Suppose an archeologist wantsto estimate the density of ferromagnetic artifacts in the Tara region. For this purpose, a random sample of 55 2plots, each of size 100 square meters, is used. The number of ferromagnetic artifacts for each plot isdetermined.a) number of plotsb) size of the plotsc) none of these choicesd) number of ferromagnetic artifacts per 100 square meterse) number of plots as well as size of the plots6. Identify whether the variable in the information below is qualitative or quantitative.USA today reported that 44.9% of those surveyed (1261 adults) ate in a fast-food restaurant from one to threetimes each week.a) qualitativeb) quantitativec) neither qualitative nor quantitatived) qualitative as well as quantitativee) Information does not have any variable.
7. Identify the implied population in the information below.Government agencies carefully monitor water quality and its effect on wetlands (Reference: EnvironmentProtection Agency Wetland Report EPA 832-R-93-005). Of particular concern is the concentration of nitrogenin water draining from fertilized lands. Too much nitrogen can kill fish and wildlife. Twenty -eight samples ofwater were taken at random from a lake. The nitrogen concentration (milligrams of nitrogen per liter of water)was determined for each sample. The variable in this information is nitrogen concentration (mg nitrogen/lwater).a) number of fishb) samples of water taken at randomc) none of these choicesd) nitrogen concentration (mg nitrogen/l water) in the entire lakee) samples of water taken at random
8. Identify the level of measurement corresponding to the data “Length of time to complete an exam” associatedwith student life.a) intervalb) nominalc) ratiod) ordinale) none of these choices9. Consider the students in your statistics class as the population and suppose they are seated in five rows of 5students each. To select a sample, you toss a coin. If it comes up heads, you use the 15 students sitting in thefirst three rows as your sample. If it comes up tails, you use 15 students sitting in last three rows as yoursample.True or false: Every student has an equal chance of being selected for the sample.a) falseb) true310. Consider the students in your statistics class as the population and suppose they are seated in three rows of 8students each. Describe a process you could use to get a simple random sample of 16 students from a class ofsize 24.a) Arrange the students in alphabetical order (by last name). Then select the first 16 students in the list.b) Arrange the students in alphabetical order (by last name). Then select students with position in thealphabetized list from 9 to 24.c) Arrange the students with all females first followed by all the mails. Then select the first 16 students inthe list.d) Assign each of the students a distinct number from 1 to 24. Then use a random number table or softwareto select a sample of size 16 numbers from 1 to 24 and select the students assigned those numbers.e) Arrange the students with all females first followed by all the mails. Then select the last 16 students inthe list.
11. Define: class limita) Class limit is the values halfway between the upper class limit of one class and the lower class limit ofthe next.b) Class limit is the difference between the lowest data value and the highest data value.c) Class limit is the highest data value.d) Class limit specifies the span of data values that fall within a class.e) Class limit is the lowest data value.
12. The following data represent salaries, in thousands of dollars, for employees of a small company. Notice thedata have been sorted in increasing order.34 35 35 36 36 39 40 45 45 45 46 48 4849 49 50 50 50 55 55 55 55 57 62 62 6268 69 69 71 71 77 78 78 78 303Does the last data value appear to be an outlier?a) nob) yes13. Finish times (to the nearest hour) for 10 dogsled teams are shown below.Find the class width. Use five classes. (Round your answer to the nearest integer.)283 363 248 290 281 284 336 364 280 265a) 122b) 25c) 124d) 23e) 2414. Finish times (to the nearest hour) for 10 dogsled teams are shown below.4Make a frequency table showing class limits, class boundaries, midpoints, frequency, relative frequencies, andcumulative frequencies. Use three classes. (Round your answer for relative frequency to the nearest hundredthand for midpoint to the nearest tenth.)283 265 236 310 275 301 287 258 299 280a)Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 2 0.2 2261 284 260.5 284.5 273 4 0.4 6285 308 284.5 308.5 297 4 0.4 10b)Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 2 0.2 2261 285 260.5 285.5 273 4 0.4 6286 310 285.5 310.5 298 4 0.4 10c)Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 3 0.2 2261 284 260.5 285.5 273 6 0.4 6285 310 285.5 310.5 297 5 0.4 10d)Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 3 0.2 2261 284 260.5 284.5 273 6 0.4 6285 308 284.5 308.5 297 5 0.4 10e) none of theses choices15. Finish times (to the nearest hour) for 10 dogsled teams are shown below.Make a frequency table showing class limits, class boundaries, midpoints, frequency, relative frequencies, andcumulative frequencies. Use three classes. The class size of the given data is 24. (Round your answer forrelative frequency to the nearest hundredth and for midpoint to the nearest tenth.)262 301 310 302 286 246 254 236 241 238a)Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 5 0.5 5261 284 260.5 284.5 273 1 0.1 6285 308 284.5 308.5 297 4 0.4 10b)Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 5 0.5 5261 285 260.5 285.5 273 1 0.1 6286 310 285.5 310.5 298 4 0.4 105c)Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 6 0.5 5261 284 260.5 285.5 273 3 0.1 6285 310 285.5 310.5 297 5 0.4 10d)Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 6 0.5 5261 284 260.5 284.5 273 3 0.1 6285 308 284.5 308.5 297 5 0.4 10e) none of theses choices
16. Finish times (to the nearest hour) for 57 dogsled teams are shown below. Draw a histogram. Use five classes.261 273 236 244 279 296 284 299 289 289 249 256338 360 341 333 261 269 287 296 313 311 308 308299 303 277 283 304 305 286 290 286 287 297 299332 330 309 327 308 327 285 291 295 298 306 315310 318 318 320 333 321 323 324 327a)6b)c)7d)e)
17. Finish times (to the nearest hour) for 59 dogsled teams are shown below. Draw a histogram. Use five classes.261 269 236 244 280 296 284 297 290 290 247 256338 360 341 333 261 267 287 296 313 311 309 309299 303 277 283 304 305 286 290 286 287 297 299332 330 309 326 309 326 285 291 295 298 306 315310 318 318 320 333 321 323 324 327 239 3588The frequency table for the above data is given below.Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 5 0.08 5261 285 260.5 285.5 273 9 0.15 14286 310 285.5 310.5 298 25 0.42 39311 335 310.5 335.5 323 16 0.27 55336 360 335.5 360.5 348 4 0.07 59a)b)9c)d)10e)
18. Finish times (to the nearest hour) for 57 dogsled teams are shown below. Draw a relative frequencyhistogram. Use five classes.261 274 236 244 279 296 284 296 289 289 249 256338 360 341 333 261 268 287 296 313 311 307 307299 303 277 283 304 305 289 290 289 290 297 299332 330 309 326 307 326 285 291 295 298 306 315310 318 318 320 333 321 323 324 327a)11b)c)12d)e)
19. Finish times (to the nearest hour) for 59 dogsled teams are shown below. Draw a relative frequencyhistogram. Use five classes.261 270 236 244 278 296 284 296 289 289 249 256338 360 341 333 261 266 287 296 313 311 307 307299 303 277 283 304 305 288 290 288 289 297 299332 330 309 327 307 327 285 291 295 298 306 315310 318 318 320 333 321 323 324 327 302 31913The frequency table for the above data is given below.Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 4 0.07 4261 285 260.5 285.5 273 9 0.15 13286 310 285.5 310.5 298 26 0.44 39311 335 310.5 335.5 323 17 0.29 56336 360 335.5 360.5 348 3 0.05 59a)b)14c)d)15e)
20. Finish times (to the nearest hour) for 57 dogsled teams are shown below. Use five classes. Categorize thebasic distribution shape as uniform or rectangular, mound-shaped symmetric, bimodal, skewed left, or skewedright.a) Skewed leftb) Skewed rightc) Uniform or rectangulard) Bimodale) none of these choices
21. Define: class limita) Class limit is the values halfway between the upper class limit of one class and the lower class limit ofthe next.b) Class limit is the difference between the lowest data value and the highest data value.c) Class limit is the highest data value.d) Class limit specifies the span of data values that fall within a class.e) Class limit is the lowest data value.1622. The following data represent salaries, in thousands of dollars, for employees of a small company. Notice thedata have been sorted in increasing order.26 27 27 28 28 31 32 37 37 37 38 40 4041 41 42 42 42 47 47 47 47 49 54 54 5460 61 61 63 63 69 70 70 70 70Does the last data value appear to be an outlier?a) yesb) no23. Finish times (to the nearest hour) for 10 dogsled teams are shown below.Find the class width. Use five classes. (Round your answer to the nearest integer.)257 357 252 332 316 280 249 302 264 341a) 121b) 24c) 123d) 22e) 2324. Finish times (to the nearest hour) for 10 dogsled teams are shown below.Make a frequency table showing class limits, class boundaries, midpoints, frequency, relative frequencies, andcumulative frequencies. Use three classes. (Round your answer for relative frequency to the nearest hundredthand for midpoint to the nearest tenth.)262 236 272 256 294 242 288 258 284 310a)Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 4 0.4 4261 284 260.5 284.5 273 3 0.3 7285 308 284.5 308.5 297 3 0.3 10b)Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 4 0.4 4261 285 260.5 285.5 273 3 0.3 7286 310 285.5 310.5 298 3 0.3 10c)Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 5 0.4 4261 284 260.5 285.5 273 5 0.3 7285 310 285.5 310.5 297 4 0.3 10d)Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.17236 260 235.5 260.5 248 5 0.4 4261 284 260.5 284.5 273 5 0.3 7285 308 284.5 308.5 297 4 0.3 10e) none of theses choices
25. Finish times (to the nearest hour) for 10 dogsled teams are shown below.Make a frequency table showing class limits, class boundaries, midpoints, frequency, relative frequencies, andcumulative frequencies. Use three classes. The class size of the given data is 24. (Round your answer forrelative frequency to the nearest hundredth and for midpoint to the nearest tenth.)310 279 271 262 236 284 246 259 283 256a)Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 4 0.4 4261 284 260.5 284.5 273 5 0.5 9285 308 284.5 308.5 297 1 0.1 10b)Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 4 0.4 4261 285 260.5 285.5 273 5 0.5 9286 310 285.5 310.5 298 1 0.1 10c)Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 5 0.4 4261 284 260.5 285.5 273 7 0.5 9285 310 285.5 310.5 297 2 0.1 10d)Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 5 0.4 4261 284 260.5 284.5 273 7 0.5 9285 308 284.5 308.5 297 2 0.1 10e) none of theses choices
26. Finish times (to the nearest hour) for 59 dogsled teams are shown below. Draw a histogram. Use five classes.261 273 236 244 278 296 284 297 287 287 249 256338 360 341 333 261 266 287 296 313 311 309 309299 303 277 283 304 305 289 290 289 290 297 299332 330 309 328 309 328 285 291 295 298 306 315310 318 318 320 333 321 323 324 327 302 31918a)b)c)19d)20e)
27. Finish times (to the nearest hour) for 59 dogsled teams are shown below. Draw a histogram. Use five classes.261 273 236 244 279 296 284 299 288 288 250 256338 360 341 333 261 269 287 296 313 311 307 307299 303 277 283 304 305 288 290 288 289 297 299332 330 309 326 307 326 285 291 295 298 306 315310 318 318 320 333 321 323 324 327 302 319The frequency table for the above data is given below.Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 4 0.07 4261 285 260.5 285.5 273 9 0.15 13286 310 285.5 310.5 298 26 0.44 39311 335 310.5 335.5 323 17 0.29 56336 360 335.5 360.5 348 3 0.05 5921a)b)22c)d)23e)
28. Finish times (to the nearest hour) for 59 dogsled teams are shown below. Draw a relative frequencyhistogram. Use five classes.261 273 236 244 278 296 284 297 288 288 249 256338 360 341 333 261 266 287 296 313 311 307 307299 303 277 283 304 305 289 290 289 290 297 299332 330 309 326 307 326 285 291 295 298 306 315310 318 318 320 333 321 323 324 327 239 358a)24b)c)25d)e)
29. Finish times (to the nearest hour) for 57 dogsled teams are shown below. Draw a relative frequencyhistogram. Use five classes.261 269 236 244 279 296 284 298 287 287 248 256338 360 341 333 261 269 287 296 313 311 308 308299 303 277 283 304 305 289 290 289 290 297 299332 330 309 329 308 329 285 291 295 298 306 315310 318 318 320 333 321 323 324 32726The frequency table for the above data is given below.Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq.236 260 235.5 260.5 248 4 0.07 4261 285 260.5 285.5 273 9 0.16 13286 310 285.5 310.5 298 25 0.44 38311 335 310.5 335.5 323 16 0.28 54336 360 335.5 360.5 348 3 0.05 57a)b)27c)d)28e)30. Finish times (to the nearest hour) for 60 dogsled teams are shown below. Use five classes. Categorize thebasic distribution shape as uniform or rectangular, mound-shaped symmetric, bimodal, skewed left, or skewedright.a) Bimodalb) Uniform or rectangularc) mound-shaped symmetricd) Skewed righte) none of these choices
31. True or false. When drawing a scatter diagram, the response variable is placed along the horizontal axis.a) falseb) true32. Suppose two variables are positively correlated. Does the response variable increase or decrease as theexplanatory variable increases?a) decreasesb) increases2933. Describe the relationship between two variables when the correlation coefficient r is near 1.a) strong negative linear correlationb) no linear correlation or a weak linear correlationc) strong positive linear correlationd) weak positive linear correlatione) weak negative linear correlation
34. Does the diagram below show a high linear correlation, a moderate or low linear correlation, or no linearcorrelation?a) moderate or low linear correlationb) high linear correlationc) no linear correlation
35. Does the diagram below show a high linear correlation, a moderate or low linear correlation, or no linearcorrelation?30a) high linear correlationb) no linear correlationc) moderate or low linear correlation36. Does the diagram below show a high linear correlation, a moderate or low linear correlation, or no linearcorrelation?a) no linear correlationb) moderate or low linear correlationc) high linear correlation
37. Over the past decade, there has been a strong positive correlation between teacher salaries and prescriptiondrug costs. What lurking variables might be causing the increase in one or both of the variables?a) Increasing population might be a lurking variable causing both variables to decrease.b) Rising cost of living might be a lurking variable causing both variables to increase.c) Falling cost of living might be a lurking variable causing both variables to increase.d) Decreasing population might be a lurking variable causing both variables to increase.e) none of these choices 3138. Over the past 30 years in the United States, there has been a strong negative correlation between the numberof infant deaths at birth and the number of people over age 65. What lurking variables might be causing thechanges in each of the variables?a) A lurking variable might be worse health care and treatments.b) A lurking variable might be a proper diet.c) A lurking variable might be an improper diet.d) A lurking variable might be better health care and treatments.e) none of these choices
39. How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be theaverage weight of the pony (in kilograms). Suppose a random sample of ponies gave the followinginformation. 4 7 14 19 21 50 85 130 160 175xyMake a scatter diagram for the data.a)b)c)32d)33e)
40. In baseball, is there a linear correlation between batting average and home run percentage? Let x represent thebatting average of a professional baseball player. Let y represent the home run percentage (number of homeruns per 100 times at bat). Suppose a random sample of baseball players gave the following information. 0.251 0.259 0.29 0.265 0.269 1.3 3.7 5.8 3.9 3.7xyMake a scatter diagram for the data. Draw the line that best fits the data.a)34b)c)d)35e)
41. A football team’s coach predicts that his team will win 9 out of 10, or 90%, of its games. Which method didhe most likely use to make this prediction?a) equally likely outcomesb) intuitionc) law of large numbersd) probabilitye) relative frequency
42. If event A is certain to occur, what is P(A)?a) 0b) 0.25c) 0.5d) 0.75e) 1
43. True or false. The law of large numbers states that in the long run, as the sample size or number of trialsdecreases, the relative frequency of outcomes gets closer to the theoretical probability of the outcome.a) falseb) true
44. If you were using the relative frequency of an event to estimate the probability of the event, would it be betterto use 100 trials or 400 trials according to the law of large numbers?a) 100b) 400
45. A coin is to be tossed 1000 times. What is the probability that the 785th toss is heads?a) 0b) 1/4c) 1/2d) 3/4e) 1 36
46. True or false. The probability of some event is 15.a) falseb) true
47. When do creative people get their Good ideas? Assume that the survey of 962 inventors gives the followinginformation:Time of Day When Good Ideas OccurTime Number of Inventors6 A.M. 12 noon 28912 noon 6 P.M. 1356 P.M. 12 midnight 31812 midnight 6 A.M. 220Assume that the time interval includes the left limit and all the times up to but not including the right limit.The probability that an investor has a good idea during the time interval from 6 A.M. to 12 noon is289962andprobability that an investor has a good idea during the time interval from midnight to 6 A.M. is110481. Estimatethe probability that an inventor has a good idea during both the time intervals from 6 A.M. to 12 noon andfrom midnight to 6 A.M.. Write your answer as a fraction in simplest form.a)12b)15895231361c)509962d)14e) none of these choices
48. John runs a computer software store. He counted 124 people who walked by his store in a day, 55 of whomcame into the store. Of the 55, only 21 bought something in the store. Estimate the probability that a personwho walks by the store will come in and buy something. Round your answer to the nearest hundredth.a) 0.17b) 0.38c) 0.12d) 0.61e) none of these choices49. John runs a computer software store. He counted 130 people who walked by his store in a day, 58 of whomcame into the store. Of the 58, only 25 bought something in the store. Estimate the probability that a personwho comes into the store will buy nothing. Round your answer to the nearest hundredth.a) 0.81b) 0.55c) 0.25d) 0.57e) none of these choices 37
50. True or false. For any two mutually exclusive events the probability that an outcome will be in one event or inthe other event is the sum of the individual probabilities.a) trueb) false

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