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1. The largest observation in the last problem is 49. If 49 is replaced by the value 200, verify that the sample mean is now X¯ = 50.1 but the trimmed mean and median are not changed.
2. For the last problem, what is the minimum number of observations that must be altered so that the trimmed mean is greater than 1,000?
suppose a baseball player had 205 hits in a season. in the given probability distribution the random variable x
let a b and c be independent random variables uniformly distributed over 05 03 and 04 respectively. what is the
How large a sample would be necessary to estimate the population proportion with a margin of error of 0.05 at 95% confidence?
A standard deviation of 0.6 miles per gallon, find the probability that a car has a gas mileage of between 28.8 and 29.2 miles per gallon.
Probability using discrete distribution.The probability distribution for the random variable x follows.
Find the expected position of the next book requested when the system is in its stationary distribution, which we will call μ. Note that μ is a function of p1, pn and what is the probability that she is picked up by a bus?
A study is conducted to determine if the traffic light patterns at a busy intersection need to be adjusted to help the flow of traffic. Data on the volume of traffic and the traffic patterns during different times of day are recorded.
(a) Draw a boxplot of these data. Do you think a normality assumption is reasonable? (b) Calculate a 95% confidence interval for the mean payback period for this sort of retro-fitted double glazing. (c) How large a sample would be needed to estimate ..
Why would you choose this measure of central tendency? What circumstances would make you choose an alternative measure?
Find the limiting distribution of Yn as n -+ oo. This exercise and the immediately preceding one are special instances of an important theorem that will be proved in the next section.
An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $275.66 with a standard deviation of $78.11.
543 people were selected at random from a large population. 505 of them said they had the internet installed on their
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