How does assess data stewardship considerations related to data? And how does data related issues are identified, managed, and resolved?
In: Math
Air traffic controllers perform the vital function of regulating the traffic of passenger planes. Frequently, air traffic controllers work long hours with little sleep. Researchers wanted to test their ability to make basic decisions as they become increasingly sleep deprived. To test their abilities, a sample of 6 air traffic controllers is selected and given a decision-making skills test following 12-hour, 24-hour, and 48-hour sleep deprivation. Higher scores indicate better decision-making skills. The table lists the hypothetical results of this study.
Sleep Deprivation | ||
---|---|---|
12 Hours | 24 Hours | 48 Hours |
24 | 18 | 17 |
19 | 23 | 21 |
35 | 23 | 23 |
28 | 21 | 14 |
23 | 15 | 17 |
22 | 22 | 15 |
(a) Complete the F-table. (Round your answers to two decimal places.)
Source of Variation |
SS | df | MS | Fobt |
---|---|---|---|---|
Between groups |
||||
Between persons |
||||
Within groups (error) |
||||
Total |
In: Math
How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in temperatures from 20°F to 45°F. A random sample of prices ($) for sleeping bags in this temperature range is given below. Assume that the population of x values has an approximately normal distribution.
35 | 110 | 65 | 90 | 90 | 35 | 30 | 23 | 100 | 110 |
105 | 95 | 105 | 60 | 110 | 120 | 95 | 90 | 60 | 70 |
(a) Use a calculator with mean and sample standard deviation keys to find the sample mean price x and sample standard deviation s. (Round your answers to two decimal places.)
x = | $ |
s = | $ |
(b) Using the given data as representative of the population of
prices of all summer sleeping bags, find a 90% confidence interval
for the mean price μ of all summer sleeping bags. (Round
your answers to two decimal places.)
lower limit | $ |
upper limit | $ |
In: Math
The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution.
1194 | 1292 | 1285 | 1292 | 1268 | 1316 | 1275 | 1317 | 1275 |
(b) Find a 90% confidence interval for the mean of all tree ring dates from this archaeological site. (Round your answers to the nearest whole number.)
lower limit | A.D. |
upper limit | A.D. |
In: Math
In a sample of 100 pigs from a large population the following gains in weight (kg) during a 50 day interval were recorded: | |||||||||
36 | 23 | 25 | 21 | 28 | 17 | 35 | 32 | 39 | 30 |
7 | 31 | 24 | 26 | 47 | 30 | 30 | 19 | 39 | 22 |
29 | 36 | 43 | 21 | 34 | 57 | 33 | 36 | 26 | 44 |
41 | 19 | 23 | 41 | 11 | 41 | 45 | 33 | 33 | 33 |
13 | 35 | 18 | 26 | 42 | 30 | 33 | 18 | 26 | 31 |
37 | 34 | 22 | 40 | 37 | 18 | 40 | 14 | 43 | 28 |
30 | 42 | 49 | 27 | 15 | 31 | 29 | 29 | 12 | 16 |
48 | 27 | 28 | 20 | 30 | 46 | 19 | 53 | 29 | 24 |
17 | 21 | 25 | 35 | 42 | 31 | 34 | 38 | 20 | 38 |
30 | 26 | 39 | 24 | 33 | 32 | 27 | 25 | 30 | 30 |
b. What's the prob of randomly selecting a pig that added at least 44kg to its weight during the test? How does this predicted number (predicted proportion/percent) compare with the actual number? *Hint: remember there are 100 total samples*
c. What's the probability that a pig would increase no less than 10kg and no more than 47kg?
d. Construct a 99% confidence interval for this data.
In: Math
Year |
Tornadoes |
Census |
1953 |
421 |
158956 |
1954 |
550 |
161884 |
1955 |
593 |
165069 |
1956 |
504 |
168088 |
1957 |
856 |
171187 |
1958 |
564 |
174149 |
1959 |
604 |
177135 |
1960 |
616 |
179979 |
1961 |
697 |
182992 |
1962 |
657 |
185771 |
1963 |
464 |
188483 |
1964 |
704 |
191141 |
1965 |
906 |
193526 |
1966 |
585 |
195576 |
1967 |
926 |
197457 |
1968 |
660 |
199399 |
1969 |
608 |
201385 |
1970 |
653 |
203984 |
1971 |
888 |
206827 |
1972 |
741 |
209284 |
1973 |
1102 |
211357 |
1974 |
947 |
213342 |
1975 |
920 |
215465 |
1976 |
835 |
217563 |
1977 |
852 |
219760 |
1978 |
788 |
222095 |
1979 |
852 |
224567 |
1980 |
866 |
227225 |
1981 |
783 |
229466 |
1982 |
1046 |
231664 |
1983 |
931 |
233792 |
1984 |
907 |
235825 |
1985 |
684 |
237924 |
1986 |
764 |
240133 |
1987 |
656 |
242289 |
1988 |
702 |
244499 |
1989 |
856 |
246819 |
1990 |
1133 |
249623 |
1991 |
1132 |
252981 |
1992 |
1298 |
256514 |
1993 |
1176 |
259919 |
1994 |
1082 |
263126 |
1995 |
1235 |
266278 |
1996 |
1173 |
269394 |
1997 |
1148 |
272647 |
1998 |
1449 |
275854 |
1999 |
1340 |
279040 |
2000 |
1075 |
282224 |
2001 |
1215 |
285318 |
2002 |
934 |
288369 |
2003 |
1374 |
290447 |
2004 |
1817 |
293191 |
2005 |
1265 |
295895 |
2006 |
1103 |
298754 |
2007 |
1096 |
301621 |
2008 |
1692 |
304059 |
2009 |
1156 |
308746 |
2010 |
1282 |
309347 |
2011 |
1691 |
311722 |
2012 |
938 |
314112 |
2013 |
907 |
316498 |
2014 |
888 |
318857 |
Is the number of tornadoes increasing? In the last homework, data on the number of tornadoes in the United States between 1953 and 2014 were analyzed to see if there was a linear trend over time. Some argue that it’s not the number of tornadoes increasing over time, but rather the probability of sighting them because there are more people living in the United States. Let’s investigate this by including the U.S. census count (in thousands) as an additional explanatory variable (data in EX11-24TWISTER.csv).
Fit one SLR model with year as the predictor, another SLR model with census count as the predictor. Write down the two models. Are year and census count significant, respectively?
In: Math
Consider a Poisson distribution in which the offspring distribution is Poisson with mean 1.3. Compute the (finite-time) extinction probabilities un = P{ Xn = 0 | X0 = 1 } for n = 0, 1, . . . , 5. Also compute the probability of ultimate extinction u∞.
In: Math
Construct the confidence interval for the population standard deviation for the given values. Round your answers to one decimal place.
n=20, s=4.2, and c=0.99
In: Math
In the 1996 General Social Survey, for males age 30 and over, the following was true about respondents: • 11% of those in the lowest income quantile were college graduates. • 19% of those in the second income quantile were college graduates. • 31% of those in the third income quantile were college graduates. • 53% of those in the highest income quantile were college graduates. Find P(Q1|G), the probability that a randomly selected college graduate falls in the lowest income quartile. Also find P(Q2|G), P(Q3|G), and P(Q4|G). Discuss how this distribution compares to the unconditional distribution P(Q1), P(Q2), P(Q3), P(Q4)
In: Math
Sales personnel for Skillings Distributors submit weekly reports listing the customer contacts made during the week. A sample of 85 weekly reports showed a sample mean of 17.5 customer contacts per week. The sample standard deviation was 5.7 . Provide 90% and 95% confidence intervals for the population mean number of weekly customer contacts for the sales personnel.
90% confidence interval, to 2 decimals:
_____ , _____
95% confidence interval, to 2 decimals
_____ , _______
In: Math
Identify the sample and sample statistic - For 186 randomly selected babies, the average (mean) of their births weights is 3,103 grams (based on data from “Cognitive Outcomes of Preschool Children with Prenatal Cocaine Exposure.” By Singer et al., Journal of the American Association, Vol. 291, No 20).
A) Sample-preschool children, statistic birth weights
B) Sample-186 babies, statistic 3,103 grams
C) Sample 186 babies, statistic Cocaine Exposure
What are the absolute and relative errors? – The bakery menu claims that there are 12 doughnuts in a bag, but the baker always puts 13 doughnuts (the true value) in each bag.
A) Absolute 1 donut, relative 7.7%
B) Absolute -1 donut, relative -7.7%
C) No answer text provided.
What are the absolute and relative errors? –The official distance for a marathon is 26 miles 385 yards or 26.21875 miles, but the organizers of a marathon map a course that is actually 26.34567 in length.
A)Absolute 26.21875 miles, relative .12692 miles
B) Absolute .12692 miles , Relative 0.5%
C) Absolute 26.34567 miles, Relative 12.6%
In: Math
Using the Standard Normal Table. What is the probability a z-score is between -1.82 and -0.68?
In other words, what is P( -1.82 < z < -0.68)?
A. |
0.2827 |
|
B. |
0.0422 |
|
C. |
0.2139 |
|
D. |
0.1114 |
In: Math
Find V(X) of the geometric distribution (Hint for the problem: Use the interchange derivative and summation, Find E(X^2), and then use the formula V(X) = E(X^2) - E(X)^2). Please show all work and all steps.
In: Math
1. Suppose in a survey of n = 2000 students, 1200 responded that they prefer small classes and 800 responded that they prefer large classes. Let p denote the fraction of all students who preferred small classes at the time of the survey, and X ̄ be the fraction of survey respondents who preferred small classes. (Hint: X is distributed as a Bernoulli random variable) (a) Show that E(X ̄) = p and Var(X ̄) = p(1 − p)/n. (b) Use the survey result to estimate p, and calculate the standard error of your estimator. (Hint: Notice that this is the same as estimating the sample mean)
In: Math
For the following sample, display the data using a frequency distribution table and then using a histogram . Assume the data is continuous and measured on a ratio scale.
23 21 18 17 17 15 20 3 4 28
16 15 15 15 27 2 3 15 16 16
a) How would you describe the shape of the distribution?
b) Which is the most appropriate measure of central tendency?
c) Calculate the most appropriate measure of central tendency.
In: Math