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A population consists of N = 10 primary units, each of which consists of Mi = 6 secondary units. A two-stage sampling design selects 2 primary units by simple random sampling (without replacement) and 3 secondary units from each selected primary unit, also by simple random sampling. The observed values of the variable of interest are 7, 5, 3 from the first primary unit selected and 4, 2, 3 from the second primary unit selected.
(a) Estimate the population mean μ per secondary unit.
(b) Estimate the variance of the estimator above.
Is there sufficient evidence to indicate that the mean annual percentage turnover for U.S. plants exceeds the corresponding mean percentage for Japanese plants?
1. jon works as a sanitation engineer for a zoo. every day he goes to work he feels like he is shoveling a great
1. The prices of 12 randomly chosen homes in dollars (approximated to nearest thousand) in a growing region of Tampa in the summer of 2002 are given below. 176 105 133 140 305 215 207 210 173 150 78 96 Find the mean and standard..
If the standard deviation of a set of scores =0, what can you say about the scores in the distribution? Verify your answer using an example . Create an appropriate set of numbers and actually calculate the SD(standard deviation ), showing that it..
a random sample of size 9 is collected from a normally distributed random variable. the sample mean is 6.507 and the
If f is upper semicontinuous on a compact space S, show that for some t ∈ S, f (t ) = sup f := sup{ f (x ): x ∈ S}. Hint: Let an ∈ R, an ↑ sup f . Consider f -1((-∞, an )), n = 1, 2,... .
suppose the incubation period for land turtle eggs is normally distributed with a mean of sixty-seven days and standard
Assuming 250 of each sex, can we conclude that there is a significant difference in the proportions at a 0.05 level of significance?
Suppose the FBI set of goal of 10% for breakins, and they want to see if the current data show they are below that mark. What are the appropriate null and alternative hypotheses?
Use the data in table 1 to find the MSE and the RMS error for the regression line predicting length from weight. Which statistic gives abetter sense of how far the data are from the regression line? Hint: keep track of the units, or plot the data,..
The users are then timed in their ability to setup and program the DVD by performing a series of operations. Which statistical analysis technique should be used? What is the null hypothesis? Can the market researcher get an answer? Why or why not?
Based on its position in the periodic table of the elements, which pure element would also react violently with oxygen and water?
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