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In Figure 2.4, the locations of objects (e.g., trees, mines, dwellings) in a study region are given by the centers of "+" symbols. The goal is to estimate the number of objects in the study region.
(a) A random sample without replacement of n = 10 units has been selected from the N = 100 units in the population. Units selected are indicated by
Shading in Figure 2.4. List the sample data. Use the sample to estimate the number of objects in the figure. Estimate the variance of your estimator.
(b) Repeat part (a), selecting another sample of size 10 by simple random sampling (without replacement) and making new estimates. Indicate the positions of the units of the samples on the sketch.
(c) Give the inclusion probability for the unit in the upper left-hand corner. How many possible samples are there? What is the probability of selecting the sample you obtained in part (a)?
The following data represent the retail price (in dollars) of a sample of 16 different brands of video cassette recorder. The mean and standard deviation retail price for the sample of 16 video cassette recorders are:
two independent samples require a dichotomous outcomes variablea. trueb.
A recent study conducted by the state government attempts to determine whether the voting public supports further increase in cigarette taxes.
1. Describes the theory the researchers explore. What are the key constructs in the theory? How are they related? Identify which ones are cause, effect, mediating, or moderating constructs. How are the constructs operationalized? 2. Briefly descri..
In a test of the reliability of products produced by two machines, machine 1 produced 10 defective parts in a run of 200, while machine 2 produced 15 defective parts in a run of 260. Test the claim that proportion of defectives produced by machine..
A random sample was taken of 300 undergraduate students from a university. The students in the sample were classi?ed according to their gender and according to the choice of their major. The result is given in the following table.
Suppose among 312 large city residents sampled, 65 refused to cooperate. What is the margin of error at the 95% confidence level.
(a) Prove that any intersection of topologies on a set is a topology. (b) Prove that for any collection U of subsets of a set X , there is a smallest topology on X including U , using part (a) (rather than subbases).
a birth is selected at random. define events b the baby is a boy and f the mother had the flu during her pregnancy.
High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. A Boeing 727 co-pilot collected 61 noise observations using a handheld sound meter.
The value of the z-score that is obtained for a hypothesis test is influenced by several factors. Some factors influence the size of the numerator of the z -score and other factors influence the size of the standard error in the denominator.
A survey of 51 randomly selected students finds that on average students study 138 minutes per night with a standard deviation of 32 minutes. What conclusion can be made from this data?
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