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Short term versus long run
Short-term aberrations do not affect the long run. To illustrate, suppose that you flip a coin 10 times and you get 10 heads. Find the cumulative proportion of heads, including these first 10 flips, if:
(a) in the 100 flips after those 10 you get 50 heads (so there are now 60 heads in 110 flips),
(b) in the 1000 flips after those 10 you get 500 heads, and
(c) in the 10,000 flips after those 10 you get 5000 heads. What number is the cumulative proportion tending toward as n increases? Hint: Add 10 to both the numerator and the denominator of each ratio and observe the solution from (a) to (c) Use any good applet or simulator from the web.
Based on these results a confidence interval extending from 5.96 to 6.16 was calculated for the population mean. Find the confidence level of this interval.
The stakeholders in the simulation have different opinions as to the proper course of action the organization should take. Write a 350-word memo to the stakeholders in the simulation.
Assuming this is literally true, how can it be explained? What facts and/or statistics would you need to know to expose this misleading claim?
suppose you have two sets of normal data symmetric bell-shaped distributions both with a mean of 15. the variance for
A monthly report to the Texas Department of Health, division of Water Hygiene, contained the following water production data in thousands of gallons:
a regional director responsible for business development in the state of pennsylvania is concerned about the number of
A normal distribution was used as the prior for the mean, and it was found that posterior mean was 15 and the posterior standard deviation was 0.1 what were the mean and standard deviation of the prior.
the distribution of annual salaries for 52 employees in a small manufacturing company has the following averages the
two friends are training for the boston marathon. james is training on a hilly jogging loop. forthe general population
the average number of mosquitos in a stagnant pond is 70 per square meter with a standard deviation of 12. if 9 square
Calculate the expected loss to each person prior to and subsequent to entering into a pooling arrangement. What happens to the standard deviation of the distribution of losses to each individuals subsequent to the pooling arrangement?
A statistics profressor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 60.0 minutes. Find the probability that a given class period runs great than 50.5 minutes.
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