[Solved] MATH225N Week 6 Assignment: Understanding Confidence Intervals

Question

In a random sample of 350 attendees of a minor league baseball game, 184 said that they bought food from the concession stand. Create a 95% confidence interval for the proportion of fans who bought food from the concession stand. Use Excel to create the confidence interval, rounding to four decimal places.

Question

A sample of 22 test-tubes tested for number of times they can be heated on a Bunsen burner before they crack is given below. Assume the counts are normally distributed. Use Excel to construct a 99% confidence interval for μ. Round your answers to two decimal places and use increasing order.

Number of times test-tubes can be heated

1189

886

921

1021

1074

1233

1697

1293

747

1233

1158

1536

1961

922

1546

1157

1814

1334

1434

1079

1830

975

Question

A tax assessor wants to assess the mean property tax bill for all homeowners in a certain state. From a survey ten years ago, a sample of 28 property tax bills is given below. Assume the property tax bills are approximately normally distributed. Use Excel to construct a 95% confidence interval for the population mean property tax bill. Round your answers to two decimal places and use increasing order.

Property Tax Bill

1715.35

1157.82

651.10

1093.36

1609.22

1391.47

1398.89

402.99

1028.76

1571.23

529.42

1579.48

699.56

2222.16

838.60

866.41

1066.60

1498.64

1784.28

2016.99

2465.65

1098.81

1346.65

1574.00

1447.78

2018.33

2156.75

1710.81

Question

Alison, the owner of a regional chain of pizza stores, is trying to decide whether to add calzones to the menu. She conducts a survey of 700 people in the region and asks whether they would order calzones if they were on the menu. 46 people responded “yes.” Create a 90% confidence interval for the proportion of people in the region who would order calzones if they were on the menu. Round your answer to four decimal places.

Question

A company wants to determine a confidence interval for the average CPU time of its teleprocessing transactions. A sample of 70 random transactions in milliseconds is given below. Assume that the transaction times follow a normal distribution with a standard deviation of 600 milliseconds. Use Excel to determine a 98% confidence interval for the average CPU time in milliseconds. Round your answers to the nearest integer and use ascending order.

Time

6690

6160

5140

7210

5570

7320

5190

5770

8390

6730

6820

5340

6690

5560

6680

7270

5670

6650

6180

5570

5410

6160

6600

6910

6400

4960

5660

6360

5760

6270

6810

5860

5700

6730

4850

6160

6490

6790

6680

6160

5500

5490

5240

7020

5930

6280

5980

6380

5140

6270

6200

5770

5480

6090

6060

6380

4910

4170

6630

5990

4720

6510

5860

6610

5370

6510

5800

5660

5760

6110

Question

Suppose the weights of tight ends in a football league are normally distributed such that σ2=1,369. A sample of 49 tight ends was randomly selected, and the weights are given below. Use Excel to calculate the 95% confidence interval for the mean weight of all tight ends in this league. Round your answers to two decimal places and use ascending order.

Weight

300

294

155

270

218

242

150

364

298

167

297

299

221

266

261

301

269

267

219

165

198

359

240

263

160

171

169

259

196

197

268

271

200

295

258

199

260

303

264

241

220

265

262

343

321

302

364

296

170

Question

The following data represent a sample of the assets (in millions of dollars) of 28 credit unions in a state. Assume that the population in this state is normally distributed with σ=3.5 million dollars. Use Excel to find the 99% confidence interval of the mean assets in millions of dollars. Round your answers to three decimal places and use ascending order.

Assets

12.23

2.89

13.19

73.25

11.59

8.74

7.92

40.22

5.01

2.27

16.56

1.24

9.16

1.91

6.69

3.17

4.78

2.42

1.47

12.77

4.39

2.17

1.42

14.64

1.06

18.13

16.85

21.58

Question

The monthly incomes from a random sample of 20 workers in a factory is given below in dollars. Assume the population has a normal distribution and has standard deviation $518. Compute a 98% confidence interval for the mean of the population. Round your answers to the nearest dollar and use ascending order.

Monthly Income

11621

12367

12030

12135

12561

11453

12313

11561

12424

12346

11591

12032

11562

12224

12850

11802

12360

12519

11960

12337

Question

A study was conducted to estimate the mean age when people buy their first new car. The ages of purchase for 22 randomly selected people are given below. Assume the ages are approximately normally distributed. Use Excel to determine the 99% confidence interval for the mean. Round your answers to two decimal places and use increasing order.

Age

19

25

27

23

15

21

22

15

18

26

18

22

28

25

23

19

20

24

20

20

22

20

Question

A type of golf ball is tested by dropping it onto a hard surface from a height of 1 meter. The height it bounces is known to be normally distributed. A sample of 25 balls is tested and the bounce heights are given below. Use Excel to find a 95% confidence interval for the mean bounce height of the golf ball. Round your answers to two decimal places and use increasing order.

Height

81.4

80.8

84.4

85.6

82.9

76.0

80.0

83.2

80.8

79.6

82.9

83.4

82.2

86.0

76.2

84.8

82.0

76.3

77.0

75.4

82.0

79.8

80.4

86.9

82.1

Question

In a random sample of 2,282 college students, 356 reported getting 8 or more hours of sleep per night. Create a 95% confidence interval for the proportion of college students who get 8 or more hours of sleep per night. Use Excel to create the confidence interval, rounding to four decimal places.

Question

A restaurant is reviewing customer complaints. In a sample of 227 complaints, 57 complaints were about the slow speed of the service. Create a 95% confidence interval for the proportion of complaints that were about the slow speed of the service. Use Excel to create the confidence interval, rounding to four decimal places.

 

 

Solution

Question

In a random sample of 350 attendees of a minor league baseball game, 184 said that they bought food from the concession stand. Create a 95% confidence interval for the proportion of fans who bought food from the concession stand. Use Excel to create the confidence interval, rounding to four decimal places.

Answer: (0.4734, 0…..

Question

In a random sample of 2,282 college students, 356 reported getting 8 or more hours of sleep per night. Create a 95% confidence interval for the proportion of college students who get 8 or more hours of sleep per night. Use Excel to create the confidence interval, rounding to four decimal places.

Answer: (0.1411, 0.

Question

A restaurant is reviewing customer complaints. In a sample of 227 complaints, 57 complaints were about the slow speed of the service. Create a 95% confidence interval for the proportion of complaints that were about the slow speed of the service. Use Excel to create the confidence interval, rounding to four decimal places.

Answer: (0.1947, 0.…………….please follow the link below to purchase the solution at $5