APU MATH530 Quiz 1 Latest 2021 March

MATH530 Applied Statistics

Quiz 1

Question 1 Identify whether the variable in the information below is qualitative or quantitative. Government agencies carefully monitor water quality and its effect on wetlands (Reference: Environment Protection Agency Wetland Report EPA 832-R-93-005). Of particular concern is the concentration of nitrogen in water draining from fertilized lands. Too much nitrogen can kill fish and wildlife. Twenty-eight samples of water were taken at random from a lake. The nitrogen concentration (milligrams of nitrogen per liter of water) was determined for each sample.

Question options:

 quantitative

 qualitative

 qualitative as well as quantitative

 neither qualitative nor quantitative

 Information does not have any variable

Question 2 Wetlands offer a diversity of benefits. They provide habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years the United States has lost more than half its wetlands. Suppose Environmental Almanac gives the percentage of wet lands lost in each state in the last 200 years as noted in the table below.

 The distribution of the percentage loss of wetlands per state is approximately mound shaped.

Question options:

 false

 true

Question 3 In a biology class, the final grade is based on several things: a lab score, score on two major tests, and the score on the final exam. There are 100 points available for each score. However, the lab score is worth 30% of your total grade, each major test is worth 22.5%, and the final exam is worth 25%. Compute the weighted average for the following scores: 90 on the lab, 82 on the first major test, 91 on the second major test, and 84 on the final exam. Round your answer to the nearest hundredth.

Question options:

 88.42

 85.12

 86.62

 86.92

 84.90

Question 4 Finish times (to the nearest hour) for 59 dogsled teams are provided. Draw a relative frequency histogram. Use five classes.

261 270 236 244 278 296 284 297 287 287 250 256

338 360 341 333 261 267 287 296 313 311 309 309

299 303 277 283 304 305 286 290 286 287 297 299

332 330 309 329 309 329 285 291 295 298 306 315

310 318 318 320 333 321 323 324 327 302 319

Question options:

 Question 5 Given the sample data, 13, 32, 28, 13, 12, 23, compute the sample standard deviation.

Question options:

 8.71

 24.20

 63.14

 75.77

 7.95

Question 6 Given the values of x: 24, 17, 12, 34, and 28, find the sample variance. Round your answer to the nearest hundredth and place it in the blank. For example, 62.70 is a legitimate answer.______

Question 7 Let x be a random variable representing annual percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual return for the Vanguard Balanced Index (60% stock and 40% bond). Given data for the past several years, compute the coefficient of variation for each fund. Round your answers to the nearest tenth.

Question options:

 for x-values: 119.7%, and for y-values: 133.2%

for x-values: 205.5%, and for y-values: 133.2%

for x-values: 133.2%, and for y-values: 205.5%

for x-values: 119.7%, and for y-values: 225.5%

for x-values: 205.5%, and for y-values: 225.5%

Question 8 At Center Hospital there is some concern about the high turnover of nurses. A survey was done to determine how long (in months) nurses had been in their current positions. The responses (in months) of 20 nurses were generated. Using the procedure specified by Brase and Brase, find the interquartile range, rounded to one decimal place.

27           3              7              20           28           38           31           45           19           11

9              11           35           30           33           16           25           37           13           38

Question options:

 46.5

 17.5

 22.0

 48.5

 31.5

Question 9Given box plots for the annual premium for urban customers in three states, which state has the smallest range of premiums for urban customers?

Question options:

 Texas has the smallest range of premiums.

 California has the smallest range of premiums.

 Texas as well as Pennsylvania have the smallest range.

 Pennsylvania has the smallest range of premiums.

 none of these choices

Question 10 Given box plots for the annual premium for urban customers in three states, which state has the highest median premium for urban customers?

Question options:

 Pennsylvania has the highest median premium.

 Texas has the highest median premium.

 Texas as well as California have the highest median premium.

 California has the highest median premium.

 none of these choices