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The usual sample variance s2 is a U -statistic of order 2. For n = 4, (X1 + X2 - X3 - X4)2/4 is another possible estimator of variance. Show that it is an unbiased estimator of the variance of X1 but that its variance is larger than that of s2, at least when the i.i.d. Xi have a normal distribution. Hint: If X has a standard normal N (0, 1) distribution, then EX 3 = 0 and EX 4 = 3.
Find the probability that out of our batch of 100, with the sampling technique listed above, that (i) both toothbrushes are defective, (ii) that one of the two is defective.
A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 2 inches. A random sample of 36 fish is taken from the tank.
What is true about the two values
suppose the value of youngs modulus gpa was determined for cast plates consisting of certain intermetallic substrates
one of your companys products a flux capacitor is known to have an exponential failure time distribution with a mean
Statisticians use terms like trial, outcome and success in a particular way in reference to probability. What do each of these three terms mean in this context?
Will you reject your null hypothesis that all population means are equal or will you not reject? Choose the best answer from the options below.
Calculate a 95% confidence interval for the population mean, based on the sample 10, 12, 13, 14, 15, 16, and 49. Change the number from 49 to 16 and recalculate the confidence interval. Using results, explain the effect of an outlier or extreme ..
The data below are the numbers of hours of homework done as reported by 24 high school juniors for the last week in September 2006.
What is the value of the critical value? In the context of this scenario, which of the following is the most appropriate HA
Is there a relationship between sales and newspaper?
an urn contains 7 red marbles and 3 white marbles. three marbles are drawn from the urn one after the other. find the
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