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Recall that an exponential (λ) random variable X has
Thus, to estimate λ from n independent samples X1,..., Xn, either of the following techniques should work.
(a) Calculate the sample mean Mn (X) and form the estimate λˆ = 1/Mn(X).
(b) Calculate the unbiased variance estimate V'n(X) of Theorem 7.11 and form the estimate λ =
Use Matlab to simulate the calculation and for m = 1000 experimental trials to determine which estimate is better.
a simple random sample of 60 items resulted in a sample mean of 10. the population standard deviation is 15.a. compute
a study of various news home pages reports that the mean number of bad links per home page is 0.4. if the errors occur
A nutritionist conducted an experiment on memory for dreams. She wanted to test whether it really was true that eating cheese before going to bed made you have bad dreams. Over three nights, the nutritionist fed people different foods before bed.
Does this design use paired data or independent samples? Explain. Calculate the relevant summary statistics from the data? Are the conditions satisfactory for a test of significance to be applied? Show your graphical evidence.
you conducted a chi-square goodness of fit test. unfortunately you did not get the sample size you had hoped for during
Solve the problem using the normal curve approximation to the binomial distribution.
the rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then
a medical research team studied the number of head and neck injuries sustained by hockey players. of the 319 players
Recall that for a rate λ Poisson process, the expected number of arrivals in [0, T ] is λT. Inspection of the code for poissonarrivals(lambda,T)will show that initially n = [1.1λT] arrivals are generated. If Sn > T , the program stops and returns ..
Frequently, tests that yield abnormal results are repeated for confirmation. What is the probability that for a normal person a test will be at least 1.5 times as high as the upper limit of normal on two seperate occasions?
Why is it necessary to study the order of operations and the laws of operations before you start solving equations? Of the three laws, commutative, associative, and distributive, which one is most frequently used in algebra? Why?
suppose that x1 gammaa 2 b 3 x2 gamma 3 3 and x3 gamma 1 3 are independent. here b denotes the scale parameter and a
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