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Consider rolling two fair dice, one green and one red. Let R be the random variable which determines the face value of the red die, and G be the random variable which determines the face value of the green die.
(a) What is the population (possible values) for R, G, and R+G?
They decide to sample some fast-food restaurants currently operating to estimate the monthly cost of electricity. They want to be 90% confident of their results and want the error of the interval estimate to be no more than $100.
The election is one week away. You think you have the election sewn up, but the seem appears to be unraveling. You run a poll, draw a random sample of 500 adults.
The standard deviation of the population of adult female height scores is 3 inches. A random sample of 50 women yields a mean height of 64 inches. Calculate the standard error of the mean.
Cores on two tests have a bivariate normal distribution; and that correlation of 2 scores is 0.8. Determine the probability that sum of the student's scores on 2 tests will be greater than 200?
Does thus data support the researchers' hypothesis? Test the relevant hypothesis using a = .1 by first calculating a p-value.
Find the probability that all 3 ignition systems are good.d- which is better: the answer from part (b) or the answer from part (c)? why?
x1, x2, x3 are zero mean Gaussian random variables with STD=4. Let x1 and x2 be independent and x3= a*x1+b*x2. Find the constants “a” and “b” such that the correlation between x1 and x3 is 0.3. What is the correlation between x3 and x2?
How many participants would be required to ensure that a 95% confidence interval for the mean difference in the number of drinks is within two drinks of the true mean? Assumed that the standard deviation of the difference in the mean number of dri..
Chocolate bars produced by a certain machine are labeled with 16.0 oz. The distribution of the actual weights of these chocolate bars is Normal with a mean of 16.1 oz and a standard deviation of 0.1 oz. A chocolate bar is considered underweight if..
Assuming the sample size of 40 can be considered as large, compute the confidence interval for a confidence level of 90%.
Very satisfied customers give the XYZ-Box video game system a rating that is at least 42. In the context of this situation, interpret making a Type I error; interpret making a Type II error.
Compute the suitable Test Statistic to test hypothesis that the proportion of condominiums that sold within 30 days decreased from 2006 to 2007.
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