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According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015). Suppose we randomly select 100 tweets.
a. What is the expected number of these tweets with no reaction (to the nearest whole number)?
b. What are the variance (to 2 decimals) and standard deviation (to 4 decimals) for the number of these tweets with no reaction?
Using the first m = 128 observations from the sunspots data in Problem 2, obtain the wavelet estimate using the VisuShrink method from Chapter 13. Comment on the graphical comparison between the VisuShrink estimate and the estimate you would have ..
a sample of 36 receipts at the theater concession stand has a mean total of 18.927 with a standard deviation of 3.883.
an eight-cylinder car has two cylinders that are defective and need to be replaced. if the mechanic randomly selects
Suppose that you perform a significance test regarding a population mean and that the evidence does not warrant rejection of the null hypothesis.
An economist is interested in studying the incomes of consumers in a particular region. The population standard deviation is know to be $1,000. A random sample of 50 individuals resulted in an average income of $15,000.
Estimate a test statistic for null hypothesis H0: μ = 30 against two-sided alternative hypothesis H1 : μ ≠ 30, and by plotting this on its reference distribution.
You are conducting a study on what socio-demographic factors could be behind the behavioral problems of students. You are looking at how many times a student was sent to detention. You have information on race, gender, household median income, single..
Solve different inventory control problems using an appropriate OR method.
For a one tailed hypothesis test (upper tail), the p-value is computed to be 0.034. If the test is being conducted at a 95% confidence, the null hypothesis.
If the probability of getting caught is .02, the probability of getting a ticket is .97 and the probabiity of having to pay the ticket is .94, what is the direct cost of running a red light.
Formulate a linear programming model that can be used to develop a daily production schedule for the Buffalo and Dayton plants that will maximize daily production of ignition systems at Cleveland.
Simulate 500 independent standard normal values. Use these to generate 250 pairs of bivariate normal vectors .Xi ; Yi /, with zero means, unit standard deviations, and correlation p D :25; :5; :75. Use your sim- ulated pairs to estimate P.X > 0; Y > ..
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