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The random variable x has a normal distribution with mean=30 and standard deviation = 30. Find the probability that x assumes a value more than two standard deviations from its mean more than three standard deviations from the mean.
The means appear to be very close, but not the variances. At α = .05, is there a difference in variances? Show all steps clearly, including an illustration of the decision rule.
Support colour-coding on packaged food to indicate healthier options
According to Central Limit Theorem, how big of sample is essential to be sure sampling distribution of sample means is normally distributed.
Develop a 99 percent confidence interval for the population proportion.
Most of the time managers will have initial (or prior) knowledge of the probabilities that an event or outcome will result. When new information is obtained, initial probability projections can be revised and improved. What statistical techniques ..
Use the five-step p-value approach to hypothesis testing and a 0.05 level of significance to determine whether the proportion of full-time students at Miami University is different from the national norm of 0.46.
The world record time (in minutes) in the marathon is plotted versus the year in which the record was set for men and women separately. The plotting symbol o is used for men and x for women. The data include only records set between 1908 and 1988.
Suppose you are on a test and are asked to determine whether the given experiment is binomial, Poisson, or neither. What are you going to think about to determine which test to use. Do you have a checklist? How would you approach this problem?
The following table shows SAT scores (on the old SAT with only two sections) for a sample of students. Give the equation of the least squares regression equation.
The random variables, X and Y, have a probability density function given by: By transformation of variables, find the probability density function of Z=X+Y.
Explain what the coefficient of determination, R^2 (R-squared), measures. How is it related to the sample correlation coefficient?
Identify each of the random variables as continuous or discrete.
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