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Prove these statements or find a counterexample:
a) For any random variable X, E(X^2) >= E^2(X)
b) The median of a random variable X is invariant to shifts, i.e. the median of the random variable X + b for any constant b, equals median(X) + b
c) If X and Y have the same distribution and are independent, then E(XY) = E^2(X)
d) If X1, X2 and X3 have the same distribution, then E(X_1 / [X_1 + X_2 + X_3]) = 1/3
identify the role of p-values and confidence intervals within epidemiologic research and provide examples of how these
You are concerned that children in your community have fewer books.
Find an estimate of the true mean decibel level for a facial expression value of x = 0.40.- Find a 95% confidence interval for the true mean decibel level for a facial expression value of x = 0.40.
The scores in a class quiz are as follows: 58, 62, 62, 63, 65, 65, 65, 68, 69, 72, 72, 75, 76, 78, 79, 81, 84, 84, 85, 92, 94, 95, 98. a. What is the variance?
assume the random variable x is normally distributed with mean u87 and a standard deviation o5. find the indicated
Find the 98% confidence interval of the true mean. Assume the vehicle is normally distributed. Round your answers to two decimal places.
After treatment, the sample mean is M = 63. What is the value of Cohen's d for this sample??
rolling a pair of fair die 10 times and recording the number of times we get a 7. what is the probability of rolling
(a) What is the probability that, on a single test, x is less than 3500? (Round your answer to four decimal places.)
Using the 1% significance level, can you conclude that persons with a business degree are better salespersons than those who have a degree in another area?
a supplier of wire cables has determined that the strength of the cables has a normal distribution with mean ? 2000
If the lowest score you can earn and still be eligible for employment is an 84, what is the mean score for the exam? Round your answer to the nearest tenth.
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