Statistics Spreadsheets, needed today!

Stat quiz- ALOT of spreadheets!! 

 

Serious inquiries only, please complete excel spreadsheets as instructed.

2

>Instructions

2 6

10

6

6 10
8

4

10 4

4

4

4

14 6

4

																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																																										Problem #	Point Value
	1						6
	3						10
							4
	5
	7			8
											14
	9
		11
			12
				13
								15
	100

 
Directions:
Please answer all questions. There are 15 questions total. The point value for each question is listed below (100 points total).
All answers are to be contained in one excel file. Data needed to complete the answers are contained in this excel file. The article needed to complete question #8 is given as an attachment with the spreadsheet.

Question 1

14

22

22

22

24

15

50

17

15

22

16

20

27

27

16

21

27

37

37

19

30

26

20

17

35

30

31

16

22

19

34

21

25

14

51

32

15

14

36

27

20

41

17

26

28

48

40

13

16

30

15

15

55

21

28

20

38

51

33

23

18

17

35

49

14

22

37

35

14

28

24

63

15

47

23

14

26

21

13

42

23

27

14

49

38

22

30

42

15

35

25

19

29

30

17

50

48

11

	Patient ID	LOS
p1												19
p2																															31
p3														24
p4																				22
p5																20
p6																							27
p7
p8																										28
p9				18
p10
p11																														35
p12												17
p13
p14									16
p15
p16																						50
p17																											44
p18
p19
p20
p																		21
p22
p											23																																		30
p24																														42
p																								25											52
p																	26
p27
p28
p																										29		91
p30																																			39
p31
p																									32
p																						33
p																																				34		76
p35
p																																					36
p																																						37
p																																	38
p39
p																																		40
p																											41
p42
p																																	43
p44
p																										45
p																									46
p																														47
p																												48
p																				49		77
p50
p																						51
p52
p																53
p														54
p											55
p								56
p											57
p						58
p		59
p				60
p					61
p		62
p					63
p		64
p	65
p		66
p		67
p		68
p	69
p	70
p	71
p	72
p	73
p	74
p	75
p76
p77
p	78
p	79
p	80
p	81
p	82
p	83
p	84
p	85
p	86
p	87
p	88
p	89
p	90
p91
p	92
p	93
p	94
p	95
p	96
p	97
p	98
p	99
p100
p	101
p	102
p	103
p	104
p	105
p	106
p	107
p	108
p	109
p	110
p	111
p	112
p	113
p	114
p	115
p	116
p	117
p	118

You are given the length of stay (in days) for the following group of patients (cells I & J).
A) Calculate the average length of stay (in days).
B) What length of stay (in days) occured the most often?
C) What is the middle number (in days) for length of stay?

Question 2

Construct a chart for the frequency distribution of ER wait times. “ER Wait Time” values are given on a separate tab within this workbook.

Question 3

Coffee Drinker

mmHg

20 30

40 60

Non-	Coffee Drinker	All Subjects
Systolic BP >	120
Systolic BP < 120 mmHg
Totals

You are given the following contingency table:
a) Calculate the totals.
b) Calculate the joint probabilities and marginal probabilities.
c) Make a new contingency table using the probabilities that you just calculated.
d) What is the probability that a subject has a systolic BP < 120 mmHg or is a coffee drinker? e) What is the probability that a subject has a systolic BP < 120 mmHg and is a coffee drinker?

Question 4

You are given data titled “

Out of INR Range

“. See the associated Excel tab. This data depicts how often four groups of patients (control patients, patients with bleeding history, patients with clotting history, and patients with combined bleeding and clotting history) are outside of their target INR range. (INR is used to determine warfarin dosing for anticoagultion managment.) From this data perform the following:
a) Calculate the mean % outside of target INR range for each of the four groups.
b) Construct a bar graph that shows the average % outside of target INR range for each group of patients. Include title, axis titles, etc. Include standard error bars.
c) Using 95% CI, calculte and upper and lower confidence limit for the control group.

Question 5

A researcher wants to survey the membership of a state association of school psychologists. The survey will ask if they endorse an increase in annual dues. Names and addresses of each member are maintained on a computer file arranged by zip code and by alphabetical order within zip code. Offer a critique of each of the following methods for drawing a sample of the membership:
a. Every 10th name is selected beginning with the first name on the list.
b. Within each zip code, the person in the middle of that subsample is chosen.
c.

Person

s who have been members of the association for fewer than two years are sampled.

Question 6

You would like to determine if there is a difference in the mean INR for two groups of patients that have different preferences for drinking cranberry juice. INR (international normalized ratio) is a unit-less “measurement” used to quantify the effectiveness of Warfarin, an anticoagulation drug. The first group consists of 40 patients who like to drink one glass of cranberry juice every morning. The mean INR for the cranberry juice drinkers is 1.5 with sample variance of 1.8. The second group does not drink cranberry juice and consists of 120 subjects. The non-cranberry juice drinking group has a mean INR of 1.1 with sample variance of 0.4. Assume that drinking cranberry juice and not drinking cranberry juice is the only key distinction between the groups (i.e. other dietary factors are held constant and do not effect INR).
a) Make the appropriate t-test.
b) Determine the probability of the t-test result.
c) Decide whether you would accept or reject the hypothesis of no difference between the cranberry juice drinkers and the non-cranberry juice drinkers.

Question 7

You would like to know if there are differences in costs for annual visits between four different primary care practices. Refer to the data under the Excel tab “

Primary Care Practices

“. Use the 0.05 level of significance to:
a) Perform a one-way ANOVA to look for differences in costs between primary care practices.
b) Look at the F statistic and p value to determine if you should accept or reject the null hypothesis that there is no significant difference between practices.

Question 8

Refer to the following article and answer questions a-g below:
Crawford, D. A., Scully, W., McFadden, L., & Manoso, M. (

201

1). Preoperative Predictors of Length of Hospital Stay and Discharge Disposition Following Primary Total Knee Arthroplasty at a Military Medical Center. Military Medicine,

176

(3),

304

–

307

. 

a) What was the purpose of this research study?
b) Refer to Table 1, Preoperative Risk Factors Relative to LOHS. Which preoperative risk factors are statistically significant?
c) Comment on the data distribution in Figure 1. What is the skew of this data? What can you infer from this data skew?
d) Refer to Table 3, Odds Ratio of Discharge to a SNF Based on Age and ASA Classification. Comment on what the odds ratios indicate for each of the four age groups.
e) Refer to the last sentence on page 304, “Unpaired t tests and analysis of variance were used to compare each variable or groups of varaibles to the dependent outcomes.
1. Name one dependent outcome.
2. Describe a result within the article that would have been determined using analysis of variance.
f) Name one limitation of this study.
g) Name one predominant strength of this study.

Question 9

Multiple Choice: A confidence interval was used to estimate the proportion of statistics students that are females. A random sample of 72 statistics students generated the following 90% confidence interval: (0.

438

, 0.

642

). Based on the interval above, is the population proportion of females equal to

0.60

?

A) No. The proportion is 54.17%.
B) Yes, and we are 90% sure of it.
C) Maybe. 0.60 is a believable value of the population proportion based on the information above.
D) No, and we are 90% sure of it.

Question 10

You are the VP for the cardiovascular service line at a hospital. A nurse manager on the step-down-unit tells you about a study she just read that she thinks could benefit her floor. According to her, the study says that if the song “Marry had a little lamb” is played when a patient at risk for falls tries to get out of his chair or bed, nurses are more likely to respond to this cue than to the patient call alarm. The reason is the song is found to be irritating and the nurse wants it to stop. The only way the song will stop is if the nurse acknowledges the alarm from the patient’s room. She believes that if this idea is implemented, the floor could potentially decrease fall rates and associated costs.
What would you want to know about this study to guide your decision making process?

Question 11

Multiple Choice: If a particular batch of data is approximately normally distributed, we would find that approximately

A) 4 of every 5 observations would fall between ± 1.28 standard deviations around the mean.
B) 2 of every 3 observations would fall between ± 1 standard deviation around the mean.
C) 19 of every 20 observations would fall between ± 2 standard deviations around the mean.
D) All of the above.

Question 12

Multiple Choice: According to the empirical rule, if the data form a “bell-shaped” normal distribution, ________ percent of the observations will be contained within 3 standard deviations around the arithmetic mean.

A) 68.26
B) 95.0
C) 75.00
D) 99.7

Question 13

Multiple Choice: In the construction of confidence intervals, if all other quantities are unchanged, an increase in the sample size will lead to a __________________ interval.

A) wider
B) biased
C) narrower
D) less significant

Question 14

You need to order wound care supplies for your clinic for the upcoming month. You have two basic pre-packaged kits to choose from. One kit is used for open wounds, and the other kit is used for closed wounds that still require dressing for protection.
Last month your order was placed based on historic needs averaged over the past 3 years, which showed that 30% of patients require open wound kits. However, at the end of the month you ended up having too many open wound kits and too few closed wound kits. After consideration, you realized that as of the past year, fewer patients have open wounds based on the progress that has been made in the early treatment phase. You therefore looked at results since this change had been implemented, and calculated that now only 13% of patients require the open wound kit.
You expect to see 70 patients in the next month who require wound kits. 13% of 70 patients is approximately 9 patients that you would expect to require the open wound kits.

A) What is the probability that 9 or less of these 70 patients will require the open wound kit?
B) What is the probabiity that 9 or more of these 70 patients will require the open wound kit?
C) Based on your findings in letter A and C, is it sufficient for next month’s order to include 13% open wound kits and 87% closed wound kits? Please explain.

Question 15

The proportion of readmission rates for heart failure within 30 days at your institution is believed to be 25% based upon national data. How large a sample of heart failure patients being followed by your institution would you have to look at to confirm this 25% rate with a measurement error (ME) of 0.05?

ER Wait Times

Person

1 35
2 25
3 40
4 51
5 50
6 55
7 16
8 36
9 49
10 27
11 31
12 21
13 20
14 28
15 30
16 17
17 32
18 34
19 39
20 34
21 35
22 34
23 51
24 37
25 36
26 33
27 58
28 47
29 62
30 31
31 55
32 22
33 43
34 47
35 57
36 37
37 33
38 45
39 34
40 46
41 24
42 30
43 23
44 34
45 38
46 38
47 35
48 60
49 21
50 31
51 12
52 52
53 25
54 31
55 46
56 43
57 47
58 44
59 24
60 27
61 45
62 41
63 29
64 36
65 39
66 44
67 39
68 29
69 57
70 43
71 39
72 46
73 47
74 32
75 29
76 49
77 26
78 22
79 45
80 44
81 60
82 52
83 51
84 39
85 38
86 43
87 38
88 27
89 20
90 46
91 42
92 44
93 40
94 28
95 50
96 35
97 30
98 30
99 34
100 33
101 33
102 46
103 43
104 32
105 51
106 20
107 44
108 37
109 38
110 31
111 33
112 46
113 46
114 43
115 45
116 54
117 41
118 44

57

120 35

48

39

49

37

30

49

32

43

43

35

34

24

58

32

39

36

66

51

47

51

40

43

36

26

51

35

25

46

46

42

42

32

45

43

49

10

43

53

21

38

52

55

40

39

57

38

31

47

38

48

42

53

37

28

23

176 12

39

41

38

40

41

53

39

27

24

40

48

23

32

43

36

35

36

34

30

44

39

51

41

39

201 40

40

38

26

40

39

46

31

44

40

39

47

56

25

26

44

50

29

17

29

40

42

28

29

43

39

33

39

29

29

48

54

31

36

39

56

44

55

40

54

32

28

50

47

21

51

36

27

19

30

43

47

37

37

40

34

47

33

61

45

44

28

47

52

31

35

25

52

48

40

16

43

43

50

28

50

32

31

21

52

28

53

26

34

25

54

38

41

48

57

37

28

32

46

47

43

23

24

37

32

32

47

30

304 37

36

53

307 25

29

36

27

24

16

44

35

42

18

50

19

33

28

37

39

55

33

30

31

44

51

24

48

54

31

39

30

45

40

38

28

35

45

38

48

28

46

50

26

42

20

39

48

48

39

30

44

43

45

29

44

54

40

34

40

56

14

38

37

48

50

54

20

46

42

45

43

37

55

43

38

38

37

21

42

40

45

36

46

51

57

25

44

36

31

45

61

51

40

33

36

27

39

35

44

25

43

48

29

42

43

48

36

40

34

43

54

36

28

29

45

54

32

30

48

40

42

64

32

30

50

35

24

49

25

34

24

27

44

39

438 21

58

40

52

38

36

38

19

31

52

40

34

32

27

50

63

47

37

29

37

35

34

47

35

41

46

40

22

38

45

36

22

22

30

41

32

59

36

47

50

33

20

29

39

41

47

17

31

40

39

37

36

53

46

25

33

35

29

36

39

28

46

36

45

30

41

25

61

46

27

53

35

24

34

41

31

44

36

43

19

27

53

40

47

26

25

36

36

48

48

35

43

48

30

31

35

43

21

50

57

38

25

38

53

40

51

49

42

30

34

51

43

45

29

17

37

48

47

33

31

41

27

43

22

53

54

31

51

45

47

27

51

34

50

22

29

68

34

34

45

35

21

38

47

47

35

42

56

42

39

33

41

38

54

67

20

39

55

48

40

50

48

37

30

28

26

13

26

45

46

50

34

25

19

33

34

48

32

48

41

47

49

44

41

36

42

33

46

37

31

30

56

42

39

48

29

39

36

43

56

34

53

44

54

642 58

47

58

37

38

53

31

40

27

38

52

41

39

30

19

32

22

49

38

50

49

47

44

46

41

37

35

31

37

57

38

53

31

55

25

42

43

27

63

44

28

23

21

34

22

25

20

31

35

49

45

37

36

29

51

48

32

55

28

46

53

41

31

36

45

19

30

41

34

26

40

46

21

34

30

42

36

33

40

28

29

34

57

20

37

42

41

54

21

41

28

42

45

29

36

33

25

42

42

37

43

41

61

29

42

17

37

48

29

34

32

34

46

37

56

34

26

44

37

36

22

30

32

30

25

37

49

31

37

37

47

36

63

14

38

31

37

51

42

35

25

34

30

50

33

34

38

32

49

39

38

37

27

39

36

26

31

44

49

45

43

28

49

25

45

23

49

53

41

47

41

23

21

47

49

41

34

29

32

26

30

42

28

57

45

36

34

33

42

51

22

Waiting Time (minutes)
119
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
305
306
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
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473
474
475
476
477
478
479
480
481
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483
484
485
486
487
488
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490
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492
493
494
495
496
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498
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502
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504
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510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
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594
595
596
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602
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608
609
610
611
612
613
614
615
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617
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722
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725
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728
729
730
731
732
733
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736
737
738
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740
741
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769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832

Out of INR Range

Patient ID

Control

Control

Control

Control

Control

Control

Control

Control 0.48 48%

Control

Control 0.50 50%

Control 0.67 67%

Control

Control

Control

Control

Control 0.67 67%

Control

Control

Control

Control

Control

Control 0.60

Control

Control 0.48 48%

Control

&

Clot & Bleed 0.53 53%

Clot & Bleed

Clot

Clot

Clot 0.41 41%

Clot 0.63 63%

Clot 0.52 52%

Clot

Clot 0.63 63%

Clot

Bleed

Bleed

Bleed

Bleed 0.59 59%

Bleed 0.67 67%

Bleed

Bleed 0.54 54%

Bleed

Bleed

Bleed 0.56 56%

Bleed 0.55 55%

Bleed

Bleed 0.54 54%

Bleed 0.64 64%

Bleed 0.63 63%

Out of INR Range Data
Group	Outside of Target INR Range (scale 0 to 1)	Percent Outside of Target INR Range
Pt-1																										Control	0.21	21%
Pt-2	0.19	19%
Pt-3				0.63				63%
Pt-4				0.67				67%
Pt-5		0.50		50%
Pt-6	0.80	80%
Pt-7			0.48			48%
Pt-8	0.44	44%
Pt-9
Pt-10		0.56		56%
Pt-11
Pt-12
Pt-13	0.39	39%
Pt-14		0.41		41%
Pt-15		0.55		55%
Pt-16	0.43	43%
Pt-17
Pt-18	0.47	47%
Pt-19	0.35	35%
Pt-20	0.51	51%
Pt-21		0.53		53%
Pt-22	0.31	31%
Pt-23	60%
Pt-24			0.54			54%
Pt-25
Pt-26	0.36	36%
Pt-27											Clot															Bleed		0.52		52%
Pt-28
Pt-29	0.81	81%
Pt-30	0.49	49%
Pt-31	0.83	83%
Pt-32
Pt-33
Pt-34
Pt-35	0.72	72%
Pt-36
Pt-37	0.57	57%
Pt-38	0.62	62%
Pt-39		0.59		59%
Pt-40	0.69	69%
Pt-41
Pt-42
Pt-43	0.91	91%
Pt-44
Pt-45		0.64		64%
Pt-46	0.22	22%
Pt-47
Pt-48
Pt-49	0.61	61%
Pt-50
Pt-51
Pt-52
Reference:

Primary Care Practices

$101.63

$92.05

$91.33

$84.39

$99.64

$97.70

$101.46

$102.13

$102.87

$90.85

$98.49

$102.98

$95.62

$95.57

$103.74

$102.63

$102.46

$112.52 $101.29 $87.40

$92.49

$90.80

$98.85

$91.95

$104.18

Costs for Annual Visits at 4 Primary Care Practices
Phillip’s Family Care Practice	Mega Health System’s Primary Care Practice	We Compete Primary Care Practice	Sisters Primary Care Practice
$89.52	$91.70	$96.42	$103.94
$108.64		$92.49	$103.28	$79.70
$80.19		$95.62	$100.03	$86.19
$107.02	$115.43	$95.92	$94.88
$102.42	$116.32	$100.28	$90.93
$82.56	$103.84	$104.73	$91.78
$96.02	$92.17		$102.98		$91.33
$80.44	$105.27	$95.91	$104.03
$108.44	$114.35	$101.68	$83.81
$108.53	$98.89	$102.94	$99.99
$87.38	$104.25		$101.63	$82.50
$104.32	$93.29	$98.67	$93.92
$85.41	$119.57	$101.41
	$84.39	$109.37	$95.24	$92.93
$101.86	$102.47	$97.77	$93.71
$107.79	$105.34		$102.46	$98.19
$105.20	$106.23		$99.64	$100.80
$81.70		$102.13	$95.18	$100.38
$98.17	$112.57	$99.67	$77.87
$99.36	$90.29	$100.72	$86.52
$83.32	$104.45	$95.44	$102.81
$95.71	$101.56	$98.47	$75.33
$100.19		$91.95	$100.43	$84.29
$83.52	$99.18	$98.56	$80.81
$92.99	$116.55	$95.69	$87.05
$81.93	$99.51		$104.18	$77.85
$90.96	$113.74	$100.61	$101.11
$97.52	$111.66	$95.85	$76.79
$108.30	$101.35	$100.94	$81.03
$85.36	$91.06	$95.16	$86.45
$108.70	$113.13	$103.30	$84.75
	$92.05	$95.81	$103.49	$94.27
$96.19	$98.68	$103.10	$103.04
$103.29	$109.69	$96.77	$98.10
$92.15	$115.67	$104.15	$83.73
$83.92	$91.98	$104.39	$94.56
$101.92	$101.34		$98.85	$83.62
$87.63	$90.23	$97.90	$82.71
	$87.40	$112.17	$104.44	$78.84
$94.50	$96.95	$95.60	$88.57
$107.78	$106.63	$99.25	$85.09
$87.68	$93.05	$103.58	$93.11
$93.28	$109.84	$99.79	$77.07
$109.04	$103.48	$83.89
$89.53	$104.60	$100.77	$104.08
$99.29	$117.91		$102.87	$96.39
	$97.70	$94.54	$102.40	$81.33
$81.65	$110.26	$98.06	$104.33
$80.59	$105.37	$98.24	$76.51
	$101.29	$100.91		$101.46	$97.55
$91.93	$103.65	$99.71	$83.19
$81.00	$106.47		$98.49	$80.45
$98.31		$112.52	$104.85	$89.93
$85.29	$103.00	$102.84	$91.44
$105.14	$114.31	$97.15		$90.85
	$95.57	$95.97
$102.26	$114.83		$102.63
$109.60	$113.44	$97.08	$83.88
$106.36	$96.71	$97.88	$99.52
$101.55	$115.13	$95.72	$77.51
$109.13	$93.62	$104.57
$93.30	$106.74	$77.92
$85.94	$117.22	$97.33	$76.37
$90.08	$114.39	$104.69	$94.29
$93.91	$117.68	$103.51	$79.45
$101.37	$106.35	$101.80	$86.21
$103.92	$90.77	$95.36	$77.27
$91.00	$103.16	$96.35		$90.80
$103.22	$102.56
$86.90	$113.78	$98.73	$95.28
$107.24	$117.56		$103.74	$87.50
$109.93	$111.89	$99.39	$81.42
$82.67	$101.74	$86.14
$81.16	$106.31	$97.83	$102.92
$83.20	$103.42	$101.97	$93.58
$106.68	$114.94	$101.61	$91.99
$106.07	$106.82	$103.71	$100.48
$97.62	$111.99	$97.80	$94.32
$81.17	$108.74	$99.04
$98.75	$112.62	$95.86
$87.82	$100.79	$95.56	$101.24
$80.76	$115.14	$78.07
$99.92	$104.10	$77.39
$98.26	$98.61	$99.27	$81.08
$101.39	$107.22	$97.13	$76.93
$95.65	$100.99	$102.93	$77.96
$92.58	$97.60	$96.03
$85.67	$108.82	$92.64
$100.78	$102.55	$99.30	$102.62
$99.26	$112.73	$81.43
$86.57	$112.67	$98.80	$79.12
$88.84
$107.07	$95.48	$97.43
$89.34	$119.50	$98.79	$80.71
$100.59	$112.54	$98.41	$80.74
$91.83	$104.22	$95.96
$102.45	$100.50	$81.19
$108.73	$102.38	$87.45
$95.84	$99.63	$94.06
$104.71	$100.30	$102.79	$99.42