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Suppose that observations X1, X2,..., Xn are made on a process at times 1, 2,..., n. On the basis of this data, we wish to test H0: the Xi 's constitute an independent and identically distributed sequence
Ha: Xi11 tends to be larger than Xi for =1,..., n (an increasing trend) Suppose the Xi 's are ranked from 1 to n. Then when Ha is true, larger ranks tend to occur later in the sequence, whereas if H0 is true, large and small ranks tend to be mixed together. Let Ri be the rank of Xi and consider the test statistic Then small values of D give support to Ha (e.g., the smallest value is 0 for When H0 is true, any sequence of ranks has probability 1yn!. Use this to determine the P-value in the case n = 4, d = 2
three stocks have share prices of 12 75 and 30 with total market values of 400 million 350 million and 150 million
Suppose the probability of the worst-case scenario increases Compute the expected value of perfect information
suppose a recent poll of american househoolds about pet ownership found that for households with one pet 39 owned a dog
Give an estimate of this common popualtion variance by pooling the sample variances given. Give an estimate of this common population variance based on the variance of the sample means given.
Conduct a Chi-Square Test for Goodness of Fit. (Use a .05 significance level and make sure you show all 5 steps of the hypothesis test)
a score that is 6 points below the mean corresponds to a z- score of z -0.50. what is the population standard
(a) Give a 95% confidence interval for the mean ARSMA score of Mexicans. (b) What assumptions does your condence interval require?
question suppose that y1 and y2 are random variables from population with mean micro and variance sigma2. suppose we
Do a feasibility study to assess the likelihood of the project being completed and producing useful results. If possible, the feasibility study should contain some preliminary results (e.g. a pilot data set and initial data analysis).
pyramid lake is on the paiute indian reservation in nevada. the lake is famous for cutthroat trout. suppose a friend
1000 rolls of a fair die are made. find the approximate probability that 6 appears between 150 and 200 times. if 6
many people believe that unusual behavior is more likely to occur during a full moon. in fact they believe that twice
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