Questions
A Bloomberg BusinessWeek subscriber study asked, "In the past 12 months, when traveling for business, what...

A Bloomberg BusinessWeek subscriber study asked, "In the past 12 months, when traveling for business, what type of airline ticket did you purchase most often?" A second question asked if the type of airline ticket purchased most often was for domestic or international travel. Sample data obtained are shown in the following table.

Type of Flight
Type of Ticket Domestic International
First Class 21 28
Business Class 122 92
Economy Class 131

515

Compute the value of the  2 test statistic (to 2 decimals)

In: Statistics and Probability

A population forms a normal distribution with a mean of µ = 120 and a standard...

  1. A population forms a normal distribution with a mean of µ = 120 and a standard deviation of σ = 14.
  1. If two scores were selected from this population, how much distance would you expect, on average, between the second score and the population mean?

A sample of n = 20 scores from this population has a mean of M = 90, do you think this sample is relative typical or extreme to the population? Explain.

In: Statistics and Probability

Why would a case-control study not be a good research design to evaluate all the potential...

Why would a case-control study not be a good research design to evaluate all the potential health outcomes associated with smoking marijuana?

In: Statistics and Probability

Discuss the need for alternative techniques of data analysis between structured and unstructured data

Discuss the need for alternative techniques of data analysis between structured and unstructured data

In: Statistics and Probability

The data in this file are the differences in the productivity of workers measured before and...

The data in this file are the differences in the productivity of workers measured before and after they undertake a training program.

x
3.483286
0.502139
1.182506
-0.78977
-1.23055
0.050956
-0.55935
-0.44297
-0.28723
-2.20755
-1.29574
-2.37856
1.590792
-1.07265
-0.51803
0.88382
-1.20074
-0.37303
0.046192
0.178191
3.011939
0.370306
-1.16088
0.896363
0.921949
-0.79235
-0.65858
1.442165
1.291734
-1.19235
0.77025
0.130772
0.170839
0.424066
0.144973
-2.14435
0.925843
2.61098
1.358568
1.635042
-0.39504
0.493437
-0.12331
-1.35487
0.336548
-2.47492
-2.26872
-0.25936
-0.54652
1.104589
-0.39521
3.072957
1.835252
-1.30094
2.040434
2.496305
0.567188
0.268885
2.94741
-0.68594
0.456223
3.001556
0.13461
1.583389
-2.45525
0.400895
-0.47353
0.125818
1.759114
-1.28538
1.848862
1.660223
1.305507
-0.90777
0.613334
1.93013
-0.65393
1.430928
0.788061
0.914506
-0.43457
-0.30062
1.352496
0.585404
0.425084
1.503991
1.308418
0.96236
1.012683
-1.09146
0.990711
-1.1824
-2.12897
-1.1366
1.619349
1.026202
-1.49041
-1.53156
-1.11697
-1.00746
  1. Compute the p-value for the null hypothesis that the training program makes no difference to productivity.
  2. Using a significance level of 10% and a two-sided alternative hypothesis, do you reject H0H0?
  3. Do you need to make any assumptions in order for your test to be valid?

In your answer, you should state the null and alternative hypotheses, the significance level, the PDF of the test statistic under the null hypothesis, the value of the test statistic, the p-value, and your conclusion.

In: Statistics and Probability

At the 0.05 level of significance, test for any significant differences in the treatments (physical activity)...

At the 0.05 level of significance, test for any significant differences in the treatments (physical activity) in terms of their effect on heart rates. Show complete solutions (8 step procedure). Also required to submit the STATISTICA and R solutions for this part.

A study reported in the Journal of the American Medical Association investigated the cardiac demands of heavy snow shoveling. Ten healthy men underwent exercise testing with a treadmill and a cycle ergometer modified for arm cranking. The men then cleared two tracts of heavy, wet snow by using a lightweight plastic snow shovel and an electric snow thrower. Each subject’s composite score consisting of heart rate blood pressure, oxygen uptake, and perceived exertion during snow removal were compared with the values obtained during treadmill and arm-crank ergometer testing. The data below gives the heart rates in beats per minute for each of the 10 subjects.

Subject

Treadmill

Arm-Crank Ergometer

Snow Shovel

Snow Thrower

1

177

205

180

98

2

151

177

164

120

3

184

166

167

111

4

161

152

173

122

5

192

142

179

151

6

193

172

205

158

7

164

191

156

117

8

207

170

160

123

9

177

181

175

127

10

174

154

191

109

Subject

Count

Sum

Average

Variance

1

4

660

165

2152.667

2

4

612

153

596.6667

3

4

628

157

1008.667

4

4

608

152

474

5

4

664

166

548.6667

6

4

728

182

442

7

4

628

157

935.3333

8

4

660

165

1192.667

9

4

660

165

648

10

4

628

157

1252.667

Activity

Treadmill

10

1780

178

281.1111

Arm-Crank Ergometer

10

1710

171

356.6667

Snow Shovel

10

1750

175

219.1111

Snow Thrower

10

1236

123.6

336.9333

In: Statistics and Probability

Explain the vector space model and the term frequency-inverse document frequency.

Explain the vector space model and the term frequency-inverse document frequency.

In: Statistics and Probability

Math SAT scores are known to be normally distributed with mean of 500 and standard deviation...

Math SAT scores are known to be normally distributed with mean of
500 and standard deviation of 100. Answer the following questions. (I also want to see
good notation and some of your calculations.)
a) Suppose we randomly select one person who has taken the SAT. What is the
probability their math score is between 525 and 550?
b) Suppose we randomly select 25 people who have taken the SAT. What is the
probability their average math score is between 525 and 550?

In: Statistics and Probability

In 10,000 tosses of a coin, 5080 heads occurred. Find a 95% confidence interval for the...

In 10,000 tosses of a coin, 5080 heads occurred. Find a 95%
confidence interval for the true proportion of heads, and then decide (based upon that
confidence interval) whether the coin is fair or not.

In: Statistics and Probability

For this problem, carry at least four digits after the decimal in your calculations. Answers may...

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a certain monument. At one excavation site a sample of 594 potsherds was found, of which 359 were identified as Santa Fe black-on-white.

(a) Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate for p. (Round your answer to four decimal places.)


(b) Find a 95% confidence interval for p. (Round your answers to three decimal places.)

lower limit    
upper limit    


Give a brief statement of the meaning of the confidence interval.

5% of the confidence intervals created using this method would include the true proportion of potsherds.5% of all confidence intervals would include the true proportion of potsherds.     95% of the confidence intervals created using this method would include the true proportion of potsherds.95% of all confidence intervals would include the true proportion of potsherds.


(c) Do you think that np > 5 and nq > 5 are satisfied for this problem? Explain why this would be an important consideration.

Yes, the conditions are satisfied. This is important because it allows us to say that is approximately normal.Yes, the conditions are satisfied. This is important because it allows us to say that is approximately binomial.     No, the conditions are not satisfied. This is important because it allows us to say that is approximately normal.No, the conditions are not satisfied. This is important because it allows us to say that is approximately binomial.

In: Statistics and Probability

Cape Wind Associates is trying to build a wind farm in Nantucket Sound, off of Cape...

Cape Wind Associates is trying to build a wind farm in Nantucket Sound,
off of Cape Cod. They’ve claimed that half of the people on Cape Cod want the wind
farm, but I don’t believe the proportion is that high. So I took a random sample of 588
Cape Cod residents and found that only 270 want the wind farm. Test to see who is
correct: me or Cape Wind?

In: Statistics and Probability

The quality control manager at a computer manufacturing company believes that the mean life of a...

The quality control manager at a computer manufacturing company believes that the mean life of a computer is 109109 months, with a variance of 100100.

If he is correct, what is the probability that the mean of a sample of 7171 computers would differ from the population mean by less than 3.373.37 months? Round your answer to four decimal places.

In: Statistics and Probability

The risk of females experiencing an anxiety disorder during a given 12-month period is approximately 1...

The risk of females experiencing an anxiety disorder during a given 12-month period is approximately 1 in 5. Suppose a researcher plans to take a random sample of females and monitor their anxiety over 12 months.

If 20 females are randomly sampled, what is the probability that exactly 10 will experience an anxiety disorder during this 12-month period? (Round answer to 3 decimal places)

If 20 females are randomly sampled, what is the probability that exactly 5 will experience an anxiety disorder? (Round answer to 3 decimal places)  

If 30 females are randomly sampled, what is the probability that exactly 5 will experience an anxiety disorder? (Round answer to 3 decimal places)  

If 20 females are randomly sampled, what is the probability that 5 or 6 will experience an anxiety disorder? (Round answer to 3 decimal places)

If 10 females are randomly sampled, what is the probability that 5 or more will experience an anxiety disorder? (Round answer to 3 decimal places)

In: Statistics and Probability

I am trying to figure out which test analysis to use for my research questions. I...

I am trying to figure out which test analysis to use for my research questions. I was thinking about think about multivariate because of the number of variable being addressed in the study but there is also the possibility to use univariate to address each question.

What are the current levels of police satisfaction in CMPD jurisdictions?

What is the public’s perception of crime in CMPD jurisdictions?

Does “hot spot” policing reduce crime in CMPD jurisdictions?

How does broken windows policing impact racial and ethnic groups in CMPD jurisdictions?

In: Statistics and Probability

The average height for a student in a class with n = 60 students is a...

The average height for a student in a class with n = 60 students is a random variable with an average height of 180 cm and standard deviation σ = 10. The individual heights which make up that average are i.i.d. (1) use Chebyshev’s inequality to find an upper bound for the probability that the average of the class (obtained from the individual student heights) is greater than 200cm. (2) Use Chebyshev’s inequality to upper bound the probability that the average height of a given student is above 195 centimeters. Additionally, (3) Use the CLT to approximate the probability that the monthly average (found from the average of each individual student height) is greater than 200cm.

In: Statistics and Probability