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Part A: Russia is well known to be amongst the most adroit nations at manipulating public opinion in other countries via its foreign influence operations. A Russian SVR agent has 45 million dollars which he can spend to bribe academics (professors), politicians, and bloggers to spread disinformation and to promote anti-American propaganda. He has budgeted 15 million to "funding" academics, 25 million for journalists, and 5 million for bloggers. Assume an academic "grant" for an academic is 1 million dollars, 5 million dollars to fund a journalist, and 1,000 dollars for a blogger. The agent is considering potentially paying 500 different academics, 200 different journalists, and 10,000 different bloggers, but he is constrained by his budget. In how many different ways can he bribe academics, journalists, and bloggers? Part B: Effective propaganda works by graduallly reinforcing themes or ideas which sway people's opinions in a particular direction, or often simply away from a certain view. Assume that a popular community based news website allows users to post links to suggested articles which has been compromised by an FSB operative. 200,000 people view a propagdanda article, which has a .05 probability of swaying a persons opinion to support the desired viewpoint the operative wants. What is the probability 10% of the readers change their opinion to support the desired viewpoint? What is the probability the first 50,000 people all change their view, and then 40,000 of the remaining people change their viewpoint?
Basing your decision on the value of the t statistic, is it reasonable to say that this information supports the hypothesis that the mean of the population is 58?
A researchers wish to estimate, with 95% confidence, the proportion of people who own a home computer. A previous study shows the 40% of those interviewed had a computer at home.
As it is a 2 _ 2 table, try also two-tailed two-sample z test for ð1 = ð2 and verify that z2 is same as your chi-square statistic. Which test do you favour? Describe why?
If the student IQ score is 90, what is the probability that another student randomly selected has an IQ score of below 90?
questiondo problem at the end of the text book.nbsp there are two sets of test scores titled part 1 and part 2.nbsp the
A random sample of 85 group leaders, supervisors, and similar personnel at General Motors revealed that, on the average, they spent 6.5 years on the job before being promoted.
We assume that the population is approximately normally distributed. Find the confidence interval: for a confidence level of 95%:
The carpeting department supervisor claims that the average number of days between the receipt of a complaint and its resolution is 20 days or less.
Calculate the probability that fewer than half of the patients are chain smokers. b) suppose that 20 patients with lung cancer are admitted to the hospital.
Perform all of the calculations to complete this table and compute the chi-square statistic and calculate degrees of freedom for this chi-square test for goodness-of-fit.
A psychologist is investigating the hypothesis that children who grow up as the only child in the household develop different personality characteristics than those who grow up in larger families.
Is there sufficient evidence to conclude that the true standard deviation σ of the fill measurements of 16-ounce cans is less than 0.1 ounce? Calculate the 95% confidence interval for the population mean.
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