## (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

?

1c

2b

3b

4d

5

6d

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8b

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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 &quot;POPULATION&quot; 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 &quot;1&quot; is for students who are

business majors and &quot;0&quot; 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

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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