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 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 health outcomes associated with smoking marijuana?
In: Statistics and Probability
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 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 |
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) 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.
In: Statistics and Probability
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 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 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 p̂ is approximately normal.Yes, the conditions are satisfied. This is important because it allows us to say that p̂ is approximately binomial. No, the conditions are not satisfied. This is important because it allows us to say that p̂ is approximately normal.No, the conditions are not satisfied. This is important because it allows us to say that p̂ is approximately binomial.
In: Statistics and Probability
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 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 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 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 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