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A sample of n=20 has a mean of M = 40. If the standard deviation is s=5, would a score of X= 55 be considered an extreme value? Why or why not?
Compute the pdf of continuous random variable Z where Z = X + Y and X is a continuous random variable uniformly distributed on [0, 2] and Y is a continuous random variable uniformly distributed on [0, 4]. Assume that X and Y are independent.
Suppose that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more?
In a sample of 55 mice, a biologist found that 42% were able to run a maze in 30 second or less. Find the 90% limit for the population proportion of mice who can run a maze in 30 second or less.
Find probability using normal distribution.Using N (1152, 84), the Normal model for weight of Angus steers, what percent of steers weigh.
Evaluate the multiple regression model between quantity sold (Y) and following explanatory variables: average price of deep-dish pizzas, monthly advertising expenditures, and disposable income per household in areas surrounding outlets.
From past experience, an automobile insurance company knows that a given automobile will suffer a total loss with probability .02, a 50% loss with probability .08, or a 25% loss with probability .15 during a year.
What would be a good example of a null and alternative hypotheses for a decision relevant in life? What Type I and Type II errors could occur with your decision-making process?
Utlizing binomial approximation to normal finding the normal model. A grower claims that only 13 percent of the strawberries he grows are unsatisfactory.
For each of the following situations, indicate the appropriate measure, incidence rate or prevalence rate and the numerical value of the rate.
The useful life of an electrical component is exponentially distributed with a mean of 2500 hours. a. What is the probability the circuit will last more than 3,000 hours.
The number of degrees of freedom corresponding to between treatments is:
The probability of obtaining a random sample mean, which is lower than the population mean, is:
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