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Let Y1, Y2, ... Yn denote a random sample from uniform distribution on the interval (0, theta).
let YBAR = sample mean, MAX = sample maximum
Consider:
estimator1 = 2(YBAR)
estimator2 = ([n+1]/n)MAX
Show that both estimators are unbiased estimators of theta.
Find the efficiency of estimator1 relative to estimator2.
Which estimator is preferable? Explain.
An experiment ws designed to estimate the mean difference in weight gain for pigs fed ration A as compared with those fed ration B. Eight pairs of pigs were used. The pigs within each pair were littermates.
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Find the mean and the standard deviation of the sampling distribution of x, and find an interval containing 95.44 percent of all possible sample mean returns.
Wheel-Rite has agreed to ship the maximum number of wheel bearings that it produces each day to Itex when an order has been received.
What is the probability that she gets exactly 4 bull's-eyes? How many bull's-eyes do you expect her to get out of the 6 arrows and what is the standard deviation?
question use the program binomial probabilities to find the probability that in 100 tosses of a fair coin the number of
Unisys maintains a hurricane database which provides information on hurricanes in the Atlantic/ Caribbean/Gulf of Mexico and the Eastern Pacific Ocean.
The data follow. Males Females 27 25 25 29 19 18 10 23 16 20 22 15 14 19 (a) What statistical test should be used to analyze these data?
The mean number of cargo ships that arrive at a port is 3 per day. The port has staff and facilities to handle up to 6 ships in a day. Using the Poisson distribution, find the probability that, on a given day,
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The other measurement is below 10, i.e. where high measurements tend to cancel low measurements. Use these possibilities to compute the distribution of when n = 2(i.e., find , , etc.).
To decrease the amount of time it takes to deliver packages, a delivery company purchased computer software that finds the optimal route for making deliveries based upon the input of the package destinations.
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