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For a random sample of size n from a population of size N, consider the following as an estimate of mu: where the ci are fixed numbers. find a condition on the ci such that the estimate is unbiased. show that the choice of the ci that minimizes the variances of the estimate subject to this ondition is ci = 1/n where i=1,...,n.
A research team conducted a study of soft-drink preferences among residents in a test market prior to an advertising campaign for a new cola product.
Is there sufficient evidence to indicate that the mean annual percentage turnover for U.S. plants exceeds the corresponding mean percentage for Japanese plants?
How can you tell when you should use the ANOVA versus a t-test? What is one problem with using the ANOVA when the t-test is the appropriate data analysis?
Researchers at Pharm-X, a pharmaceutical company, are testing and comparing the effects of Drug A and Drug B on participants' allergies. The researchers are using a double-blind procedure to conduct their test.
At a state political rally, a spaker announced "we should raise test scores so that the students are above the state median". How would you analyze this statement?
A committe studying employer-employee relations proposed that a rating system be adopted. Each employee would rate his or her inmediate supervisor and in turn the supervisor would rate each employee.
If there is evidence that percentage of polished lenses that contain surface defects does not exceed 2%. A random sample of 240 lenses contains 5 defective lenses.
Using bar charts to compare observed frequencies between variables can be problematic when?
a) Find the marginal density of Y. b) Find E(X) HINT: What is E (X|Y=y) ?
Do hotel managers on average vary significantly in femininity score from men in general?
Assume the cholesterol levels of adult American women are normally distributed with a mean of 190 mg/dL and a standard deviation of 26 mg/dL. What percent of adult women do you expect to have cholesterol levels at least 200 mg/dL?
About 40% of the general population donate time and energy to community projects. Suppose 15 people have been randomly selected from a community and each asked whether he or she donates time and energy to community projects.
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