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There are a lot of symbols so I am sorry if this is hard to read.
Q=theta hat, q=theta
Suppose E(Q1)=E(Q2)=q. V(Q1)=(sigma1)^2, V(Q2)=(sigma2)^2. Consider the estimator Q3=aQ1+(1-a)Q2.
a)Show that Q3 is an unbiased estimator for q.
b) If Q1 and Q2 are independent, how should the constant a be chosen in order to minimize the variance of Q3?
To obtain the probability that the mean wage of 75 randomly selected workers will exceed $43,000
Would the method described above be a good way to determine which team was taller (explain why or why not)?
In the real world, given null hypothesis is false; but the collected data lead to the null hypothesis being accepted. That is, the data lead to a failure to reject null hypothesis.
The period of the orbit is 2.3 hours. The radius of the planet is 4.34 × 106 m. What would be the true weight of the satellite if it were at rest on the planet's surface?
Construct a 95 percent confidence interval for the population proportion of positive drug tests. Why is the normality assumption not a problem, despite the very small value of p?
The reason why we finish our calculation by dividing range by 4 is that in most data sets 95% of the data values fall within two standard deviations of the mean.
Compute a 95% confidence interval for the population mean, based on the sample 32, 38, 31, 34, 35, 32, and 36. Change the number from 36 to 14 and recalculate the confidence interval. Using the results, describe the effect of an outlier or extreme..
Let X be a normal distributed random Variable with u=100 and o=10. the probability that X is between 70 and 100 is:
What are the theoretical parameters for the sampling distribution based on these 40 trains? Assume you are dealing with an infinite population of trains.
The researcher found that Lincoln's educational score did not correlate with the expected variables.
If p denotes the p -value of the corresponding hypothesis test, which of the following is true?
Explain the difference between testing a single mean and testing the difference between two means. What two assumptions must be met when one is using z test to test differences between two means?
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