Statistics and maths | Mathematics homework help


1. Identify the unsteady in the instruction short.

The archeological residence of Tara is over than 4000 years old. Tradition particularizes that Tara was the confirm of the violent despots of Ireland. Because of its archeological signification, Tara has common extensive examine (Reference: Tara: An Archeological scrutinize by Conor Newman, Royal Irish Academy, Dublin). Suppose an archeologist scantinesss to honor the blindness of ferromagnetic artifacts in the Tara district. For this end, a casual specimen of 55 batchs, each of bulk 100 clear meters, is used. The compute of ferromagnetic artifacts for each batch is sturdy.

 

(Points: 4)

compute of batchs

bulk of the batchs

the blindness of artifacts

compute of ferromagnetic artifacts per 100 clear meters

compute of batchs as polite-mannered-mannered as bulk of the batchs

 

 

2. Use the inventory of casual computes ardent underneath to counterfeit the upshots of incessant a territory 11 messages. Affect that the territory is balanced (i.e., serene) and an smooth digit is assigned to the upshot heads (H) and an odd digit to the upshot tails (T).

9 1 9 7 2 3 9 8 0 0 4

 

(Points: 4)

T T T T H T H H H H H

T T T T H T T H H H H

T T T T H H T H H H H

T T T T H T T H H H T

T T T T H T T H H T H

 

 

3. Finish messages (to the rectilinear hour) for 59 dogsled teams are shown underneath. Entice a histogram. Use five collocatees. 261

269

236

244

280

296

284

297

290

290

247

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

326

309

326

285

291

295

298

306

315

 

310

318

318

320

333

321

323

324

327

239

358

 

 

 

The abundance consideration for the aloft axioms is ardent underneath.

 

Class Limits

Boundaries

Midpoint

Freq.

Relative Freq.

Cumulative Freq.

 

236 260

235.5 260.5

248

5

0.08

5

 

261 285

260.5 285.5

273

9

0.15

14

 

286 310

285.5 310.5

298

25

0.42

39

 

311 335

310.5 335.5

323

16

0.27

55

 

336 360

335.5 360.5

348

4

0.07

59

 

(Points: 4)

 

 

 

 

 

 

 

4. Finish messages (to the rectilinear hour) for 57 dogsled teams are shown underneath. Use five collocatees. Categorize the basic disposal form as even, mound-shaped symmetric, bimodal, skewed left, or skewed honorable.

 

 

The referring-to abundance histogram of the aloft axioms is ardent underneath.

 

 

 

(Points: 4)

closely skewed left

closely bimodal

closely even or rectangular

closely mound-shaped symmetric

closely skewed honorable

 

 

5. Pyramid Lake, Nevada, is described as the self-exaltation of the Paiute Indian Nation. It is a melodious wild lake glorious for very comprehensive trout. The improvement of the lake manner (feet aloft sea roll) varies according to the annual glide of the Truckee River from Lake Tahoe. Affect that the U.S. Geological Scrutinize granted the behindcited axioms:

Year

1986

1987

1988

1989

1990

1991

1992

1993

 

Elevation

3812

3815

3817

3803

3798

3808

3795

3797

 

Year

1994

1995

1996

1997

1998

1999

2000

 

 

Elevation

3811

3797

3802

3811

3819

3820

3812

 

 

 

 

Make a message succession graph.

 

(Points: 4)

 

 

 

 

 

 

 

6. Use the axioms ardent in the behindcited consideration to asactual a parent-and-leaf unfold for milligrams of nicotine per cigarette smoked. In this predicament, curtail the valuements at the tenths situation and use two continuitys per parent.

 

Brand

 

Brand

 

 

Alpine

0.82

Multifilter

0.78

 

Benson & Hedges

1.07

Newport Lights

0.69

 

Bull Durham

2.06

Now

0.19

 

Camel Lights

0.67

Old Gold

1.26

 

Carlton

0.34

Pall Mall Lights

1.08

 

Chesterfield

1.04

Raleigh

0.95

 

Golden Lights

0.76

Salem Ultra

0.42

 

Kent

0.95

Tareyton

1.01

 

Kool

1.29

True

0.62

 

L&M

1.02

Viceroy Rich Light

0.69

 

Lark Lights

1.01

Virginia Slim

1.02

 

Marlboro

0.90

Winston Lights

0.82

 

Merit

0.57

 

 

 

 

 

(Points: 4)

0

1 = 0.1 milligram

 

0

1 3 4

 

0

6 6 6 7 7 8 8 9 9 9

 

1

0 0 0 0 0 1 1 2 2 3 3

 

2

0

 

 

 

 

0

1 = 0.1 milligram

 

0

2 3 4

 

0

6 6 6 6 7 8 8 9 9 9

 

1

0 0 0 0 0 0 1 1 2 2 2

 

2

0

 

 

0

1 = 0.1 milligram

 

0

1 3 4

 

0

6 6 6 6 7 7 8 9 9 9

 

1

0 0 0 1 1 2 2 2 2 2 3

 

2

0

 

 

 

 

0

1 = 0.1 milligram

 

0

2 3 4

 

0

6 6 7 7 7 8 8 8 9 9

 

1

0 0 0 0 0 0 0 1 1 3 3

 

2

1

 

 

 

 

0

1 = 0.1 milligram

 

0

2 3 4

 

0

6 6 6 7 7 8 8 9 9 9

 

1

0 0 0 0 0 0 1 1 2 2 3

 

2

2

 

 

 

 

 

 

7. In your biology collocate, your ultimate pace is installed on separate things: a lab account, account on two main experiences, and your account on the ultimate exam. Tshort are 100 summits suited for each account. However, the lab account is rate 25% of your undiminishedty pace, each main experience is rate 22.5%, and the ultimate exam is rate 30%. Compute the ponderosityed medium for the behindcited accounts: 92 on the lab, 83 on the earliest main experience, 94 on the prevent main experience, and 84 on the ultimate exam. Round your response to the rectilinear hundredth. (Points: 4)

86.02

88.42

88.02

85.55

90.42

 

 

8. Suppose automobile protection companies gave annual encouragements for top-rated companies in separate particularizes. The metaphor underneath shows box batchs for the annual encouragement for oppidan customers in three particularizes.

 

 

Which particularize has the lowest establish of encouragements?

 

(Points: 4)

California has the lowest establish of encouragements.

Pennsylvania has the lowest establish of encouragements.

Texas has the lowest establish of encouragements.

Texas as polite-mannered-mannered as Pennsylvania own the lowest establishs.

Texas has the comprehensivest establish of encouragements.

 

 

9. Is the bulk of an earthquiver akin to the profoundness underneath the manner at which the quiver occurs? Let x be the bulk of an earthquiver (on the Richter layer), and let y be the profoundness (in kilometers) of the quiver underneath the manner at the epicenter. Suppose a casual specimen of earthquakes gave the behindcited instruction.

 

 

As x acceptions, does the compute of r import that y should contribute to acception, lower, or last the identical? Explain.

 

(Points: 4)

Since r is nothing, as x acceptions, y lowers.

Since r is privative, as x acceptions, y lasts the identical.

Since r is privative, as x acceptions, y lowers.

Since r is assured, as x acceptions, y acceptions.

Since r is assured, as x acceptions, y lasts the identical.

 

 

10. It is conception that prehistoric Indians did not catch their best tools, pottery, and free items when they visited violenter improvements for their summer camps. It is hypothesized that archaeological residences contribute to cause their cultural oneness and favoring cultural squall as the improvement of the residence acceptions. Let x be the improvement (in thousands of feet) for an archaeological residence in the southwestern United States. Let y be the percentage of unauthenticated artifacts (no favoring cultural squall) at a ardent improvement. Suppose that the behindcited axioms were obtained for a assemblage of archaeological residences in New Mexico:

 

 

Given that:

 

 

 

what percentage of the mutation in y cannot be explained by the corresponding mutation in x and the least-squares continuity?

 

(Points: 4)

2.1%

7.2%

26.9%

73.1%

85.5%

 

 

11. John runs a computer software treasure. He counted 124 nation who walked by his treaunmistakable in a day, 55 of whom came into the treasure. Of the 55, merely 21 bought triton in the treasure. Honor the chance that a special who walks by the treaunmistakable allure follow in and buy triton. Round your response to the rectilinear hundredth. (Points: 4)

0.17

0.38

0.12

0.61

0.25

 

 

12. You entice two cards from a scale arconcatenate of 52 cards and re-establish the earliest one precedently enticeing the prevent. Asactual the chance of enticeing a 9 and a despot in either adjust. Round your response to the rectilinear thousandth. (Points: 4)

0.078

0.012

0.037

0.311

0.024

 

 

13. Tshort are three nursing situations to be employed at Lilly Hospital. Situation 1 is the day nursing superintendent, situation 2 is the extinction nursing superintendent; and situation 3 is the nursing coordinator situation. Tshort are 19 candidates competent for 3 of the situations. Particularize the compute of incongruous ways that 3 situations can be employed by these applicants. (Points: 4)

5814

969

19

57

437

 

 

14. Jim has a 5-year-old car in reasonably good-natured-natured qualification. He scantinesss to catch out a $30,000 message (that is, garb advantage) car protection management until the car is 10 years old. Affect that the chance of a car having an garb in the year in which it is x years old is as follows:

x = age

5

6

7

8

9

 

P (accident)

0.01191

0.01292

0.01396

0.01503

0.01613

 

 

 

Jim is applying to a car protection concourse for his car protection management. If the car protection concourse scantinesss to asactual a emolument of $900 aloft the expected undiminishedty losses, how abundantly should it enjoin for the management? Round your response to the rectilinear dollar.

 

(Points: 4)

$2997

$2999

$3001

$2994

$2992

 

 

15. Suppose that environing 20% of those particularized allure asactual an condone (work, scanty vigor, expedition out of town, etc.) to shun jury once. If 14 nation are particularized for jury once, what is the chance that all 14 allure be suited to subsubserve on the jury? Round your response to three decimal establishs. (Points: 4)

0.035

0.044

0.000

0.055

1.000

 

 

16. At a actual excavation residence, archaeological studies own used the apsummit of tree-ring dating in an attempt to particularize when nation lived in there. Wood from separate excavations gave a medium of (year) 1332 behind a while a scale discontinuance of 24 years. The disposal of dates was over or close mound-shaped and well-proportioned environing the medium. Use the experimental administration to honor a establish of years centered environing the medium in which environing 99.7% of the axioms (tree-ring dates) allure be establish. (Points: 4)

from 1284 to 1356

from 1284 to 1332

from 1332 to 1356

from 1260 to 1284

from 1260 to 1404

 

 

17. Let z be a casual unsteady behind a while a scale ordinary disposal. Asactual the implied chance underneath.

 

 

(Points: 4)

0.029

0.953

0.982

0.471

0.579

 

 

18. Asactual z such that 20.3% of the scale ordinary incurvation lies to the honorable of z. (Points: 4)

0.831

0.533

-0.533

-0.257

0.257

 

 

19. How do abundance considerations, referring-to frequencies, and histograms showing referring-to frequencies aid us know sampling disposals? (Points: 4)

They aid us to value or honor of the advent of a actual statistic progress behind a whilein the collocate limit.

They aid us visualize the chance disposal through considerations and graphs that closely dramatize the casual sampling disposal.

They aid us visualize the chance disposal through considerations and graphs that closely dramatize the population disposal.

They aid us visualize the sampling disposal through considerations and graphs that closely dramatize the sampling disposal.

They aid us visualize the statistic through considerations and graphs that closely dramatize the sampling disposal.

 

 

20. Affect that environing 45% of all U.S. adults try to pad their protection demands. Suppose that you are the guide of an protection structure appointment. Your appointment has honorable common 110 protection demands to be processed in the proximate few days. What is the chance that fewer than 45 of the demands own been padded? (Points: 4)

0.778

0.831

0.194

0.806

0.169

 

 

21. Entirety plasma book is leading in determining the required plasma content in apsummit re-establishment supposition for a special undergoing surgery. Plasma book is influenced by the overall vigor and corporeal disembodiment of an personal. Suppose that specimen of 50 manful firefighters are experienceed and that they own a plasma book specimen medium of ml/kg (milliliters of plasma per kilogram substance ponderosity). Affect that ml/kg for the disposal of apsummit plasma. Asactual the 95% faith space-between of the population medium apsummit plasma book in manful firefighters. Round your response to two decimal establishs. (Points: 4)

37.47 ml/kg to 39.53 ml/kg

36.87 ml/kg to 35.87 ml/kg

36.37 ml/kg to 40.63 ml/kg

38.20 ml/kg to 38.80 ml/kg

38.13 ml/kg to 38.87 ml/kg

 

 

22. A casual specimen of medical files is used to honor the adjustment p of all nation who own apsummit idea B. If you own no proemial honor for p, how sundry medical files should you enclose in a casual specimen in adhonorable to be 85% unmistakable that the summit honor allure be behind a whilein a interspace of 0.1 from p? (Points: 4)

208

8

4

104

52

 

 

23. Suppose that the medium message for a actual car to go from 0 to 60 miles per hour was 7.6 prevents. Suppose that you scantiness to experience the demand that the medium message to promote from 0 to 60 miles per hour is incongruous from 7.6 prevents. What would you use for the choice supposition? (Points: 4)

seconds

seconds

seconds

seconds

seconds

 

 

24. Let x be a casual unsteady dramatizeing dividend comply of Australian bank hoards. We may affect that x has a ordinary disposal behind a while A casual specimen of 17 Australian bank hoards has a specimen medium of For the undiminished Australian hoard negotiate, the medium dividend comply is Do these axioms point-out that the dividend comply of all Australian bank hoards is violenter than 6.7%? Use Are the axioms statistically expressive at the ardent roll of notion? Installed on your responses, allure you repel or lose to repel the trifling supposition? (Points: 4)

The P-compute is close than the roll of notion and so the axioms are not statistically expressive. Thus, we lose to repel the trifling supposition.

The P-compute is close than the roll of notion and so the axioms are statistically expressive. Thus, we lose to repel the trifling supposition.

The P-compute is superior than the roll of notion and so the axioms are statistically expressive. Thus, we lose to repel the trifling supposition.

The P-compute is superior than the roll of notion and so the axioms are not statistically expressive. Thus, we lose to repel the trifling supposition.

The P-compute is close than the roll of notion and so the axioms are statistically expressive. Thus, we repel the trifling supposition.

 

 

25. A functional employee in a comprehensive fortification receives an medium of e-mails per day. Most of these e-mails are from other employees in the concourse. Because of the comprehensive compute of e-mails, employees asactual themselves scared and are feeble to congregate when they repay to their tasks. In an attempt to classify inattention caused by such interruptions, one concourse recognized a pre-eminence inventory that all employees were to use precedently sending an e-mail. One month behind the new pre-eminence inventory was put into establish, a casual specimen of 38 employees showed that they were receiving an medium of e-mails per day. The computer subserver through which the e-mails are routed showed that Has the new management had any pi. Use a 1% roll of notion to experience the demand that tshort has been a diversify (either way) in the medium compute of e-mails common per day per employee. What are the hazardous computes? (Points: 4)

2.58

-2.33 and 2.33

-0.842 and 0.842

1.28

-2.58 and 2.58