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(solution) Please answer all questions. I can pay you good money for it.


Please answer all questions. I can pay you good money for it. Thank you!


Last name: Patel

 

Enter your LETTER answers HERE

 

?

 

1c

 

2b

 

3b

 

4d

 

5

 

6d

 

7

 

8b

 

9

 

10

 

11

 

12

 

13

 

14

 

15

 

16

 

17

 

18

 

19

 

20 First name: Kunj When done, using your last name and firstname, save THIS FILE as,

 

E270Lastname Firstname HW4 Questions 1-4 are based on the following "POPULATION" data (N = 72):

 

108

 

121

 

133

 

95

 

272

 

286

 

189

 

150

 

228

 

270

 

288

 

323

 

130

 

190

 

66

 

187

 

129

 

159

 

167

 

238

 

229

 

214

 

170

 

127

 

280

 

63

 

262

 

82

 

64

 

348

 

164

 

114

 

259

 

258

 

180

 

285

 

83

 

126

 

143

 

343

 

120

 

176

 

328

 

166

 

313

 

97

 

214

 

326

 

1

 

a

 

b

 

c

 

d

 

2 128

 

297

 

209

 

256

 

343

 

109

 

133

 

301 155

 

260

 

66

 

308

 

142

 

316

 

237

 

232 151

 

217

 

315

 

157

 

284

 

181

 

316

 

157 If sampling is done without replacement, the number of possible samples of size n = 6 from the above

 

population is __________

 

145,488,464

 

148,426,963

 

156,238,908

 

168,988,003

 

A random sample of size n = 6 is selected. The data in the highlighted cells above are shown below.

 

x

 

272

 

155

 

190

 

126

 

258

 

109 a

 

b

 

c

 

d The mean of this sample is:

 

190

 

185

 

180

 

175 a

 

b

 

c

 

d The variance of this sample is:

 


 

3846.7

 

4616.0

 

4298.8

 

3956.5 a

 

b

 

c

 

d For the sample means computed from the number of random samples determined in question 1, the

 

expected value or mean of sample means is ______.

 

180.58

 

192.25

 

195.66

 

201.85 3 4 201.84722 Questions 5-9 are based on the following:

 

The mean cost of getting a four-year college degree in a certain region of the country is $47,800 with a

 

standard deviation of $7,900. Assume costs are normally distributed.

 

5

 

The fraction of costs in this region that fall within ±$4,000 of the mean cost is?

 

a

 

0.4884

 

b

 

0.4434

 

c

 

0.4248

 

d

 

0.3900 6

 

a

 

b

 

c

 

d What fraction of sample means from samples of size n = 16 graduates fall within ±$4,000 from the

 

population mean?

 

0.9091

 

0.9286

 

0.9576

 

0.9785 7

 

a

 

b

 

c

 

d In repeated sampling of n = 25 graduates, the interval which contains the middle 95% of sample mean

 

costs is: xx ? = ______, xx ? = ______

 

$45,778 $49,822

 

$45,209 $50,391

 

$44,703 $50,897

 

$44,119 $51,481 a

 

b

 

c

 

d In another region 5% of the xx values from samples of size n = 25 are under $50,600 and 5% are over

 

$62,600. From this sampling distribution information we can conclude that the population mean cost

 

of a four-year college degree is ? = _______.

 

$57,600

 

$56,600

 

$53,000

 

$52,500 a

 

b

 

c

 

d In the previous question, the population standard deviation is ? = ______.

 

$18,293

 

$17,244

 

$16,718

 

$15,929 8 9 Questions 10-13 are based on the following:

 

The mean annual Medicare spending per enrollee is $12,600 with a standard deviation of $3,460. Answer

 

questions 10-13 based on the sampling distribution of xx for random samples of size n = 80 enrollees.

 

10 The fraction of sample means falling within ±$700 from the population mean is ______.

 

a

 

0.8604

 

b

 

0.8898

 

c

 

0.9014

 

d

 

0.9298

 

11

 

a

 

b

 

c

 

d 95% of all xx values from samples of size n = 80 deviate from the population mean of $12,600 by no

 

more than ±$______.

 

$898

 

$758

 

$662

 

$539 12

 

a

 

b

 

c

 

d

 

13

 

a

 

b

 

c

 

d In repeated sampling of n = 80 enrollees, the middle interval which includes the middle 95% of

 

sample mean spending is: xx ? = ______, xx ? = ______

 

$11,405 $13,795

 

$11,842 $13,358

 

$12,076 $13,124

 

$12,189 $13,011

 

In the previous question, to reduce the margin of error such that the middle 95% of all sample means

 

deviate from the population mean by no more than ±$200, the minimum sample size is ______.

 

1150

 

1080

 

940

 

845

 

The following binary data represent the students taking E270, where "1" is for students who are

 

business majors and "0" for other majors.

 

0

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

0

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

0

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

0

 

1

 

1

 

1

 

1

 

1

 

0

 

1

 

0

 

0

 

1

 

1

 

1

 

1

 

0

 

1

 

1

 

1

 

1

 

1

 

1

 

0

 

1

 

1

 

1

 

1

 

1

 

0

 

1

 

1

 

1

 

1

 

1

 

0

 

1

 

0

 

1

 

1

 

1

 

0

 

1

 

1

 

1

 

0

 

1

 

1

 

0

 

0

 

1

 

0

 

1

 

1

 

1

 

1

 

0

 

1

 

0

 

1

 

0

 

1

 

1

 

0

 

1

 

1

 

1

 

1

 

1

 

0

 

0

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

0

 

0

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

0

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

0

 

1

 

0

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

0

 

1

 

1

 

1

 

1

 

0

 

1

 

1

 

1

 

1

 

1

 

0

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1

 

1 14 1

 

1

 

1

 

1

 

1

 

1

 

1

 

0

 

0

 

1

 

1

 

1

 

1

 

0

 

0

 

0

 

1

 

0

 

0

 

1

 

0

 

0 If we take repeated samples of size n = 40 from this population of E270 students, the expected value of

 

sample proportions would be ______. a

 

b

 

c

 

d Use Excel formulas!!

 

0.665

 

0.684

 

0.725

 

0.798 Questions 15-17 are based on the following information

 

Among all adult Indiana residents 83% are high school graduates. Answer questions 15-17 based on the

 

sampling distribution of px for random samples of size n Indiana residents.

 

15 The fraction of sample proportions obtained from samples of size n = 450 that fall within ±0.04 (4

 

percentage points) from the population proportion ? is _________.

 

a

 

0.9476

 

b

 

0.9762

 

c

 

0.9892

 

d

 

0.9938

 

16

 

a

 

b

 

c

 

d

 

17

 

a

 

b

 

c

 

d The lower and upper ends of the interval which contains the middle 95% of all sample proportion

 

obtained from samples of size n = 900 are: px ? = _______, px ? = _______

 

0.805

 

0.855

 

0.795

 

0.865

 

0.788

 

0.872

 

0.779

 

0.881

 

In the previous question, in order to obtain a margin of error of ±0.02 (MOE = 0.02) for the middle

 

interval that contains the middle 95% of all sample proportions, the minimum sample is: n = ______.

 

1225

 

1298

 

1356

 

1422 Questions 18-20 are based on the following information

 

Just before a mayoral election a local newspaper polls 400 voters in an attempt to predict the winner.

 

Suppose that the candidate Johnny Comlately has 47% of the votes in a two-way race.

 

18 What is the probability that the newspaper?s sample will predict Johnny Comlately winning the

 

election?

 

a

 

0.1151

 

b

 

0.1362

 

c

 

0.1539

 

d

 

0.1665

 

19

 

a

 

b In repeated polling of n = 400 voters, 95% of sample proportions would deviate from ? = 0.47, in

 

either direction, by no more than ______ (or _____ percentage points).

 

0.055

 

0.049 c

 

d

 

20

 

a

 

b

 

c

 

d 0.042

 

0.034

 

In order to make the probability of wrongly predicting victory at most 5%, the minimum number of

 

voters to be included in the sample should be n = ______?

 

698

 

745

 

842

 

940

 


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