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In a large population, the percentages of males and females are both 50%, while 15% are left-handed with the remaining 85% being right-handed. If being female is independent of being left-handed, what proportion of the population consists of left-handed females?
Fitting of multiple linear regression equation - Give a list of the model assumptions for a regression model.
You are given an annual time series with 40 consecutive values and asked to fit a fifth-order autoregressive model.
Construct a 90 percent confidence interval for the true mean weight. What sample size would be necessary to estimate the true weight with an error of +/-} 0.03 grams with 90 percent confidence?
Find the probability that the average diameter of those sand dollars is more than 2.707 centimeters. Assume that the variable is normally distributed.
Test the hypothesis of no differences for average payback period (years) necessary to justify solar heating systems for residences.
Is there evidence to suggest that the training course helps out sales people?
A cereal manufacturer seeks to test their newest product against a competitor's. A group of 100 children was asked to evaluate each brand, and then to express a preference. To guard against bias, neither the children, nor the technicians serving t..
Find the Bayesian estimator of µ that minimizes squared error loss.
Assume that the two tests use different scales to measure the same aptitude. If someone gets a SAT score that is the 67th percentile, find the actual score and the equivalent ACT score.
If F(x, y) is the value of the joint distribution function of the two continuous random variables X and Y a (x, y),
A population of scores forms a normal distribution with a mean of μ = 40 and a standard deviation of σ =12.
A sample of 45 students enrolled in the university indicates that X (bar) = $285.4 and s = $42.20. Using the 0.05 level of significance, is there evidence that the population mean is above $300?
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