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Assume the incomes of cab drivers are normally distributed. If the average salary is $25,000 and the standard deviation is $2,300, what are the boundaries of the middle 40%?
Describe and explain any similarities or differences between the significance of z-scores in your R output and the significance of the deviance value.
What is the percentile of a person with a serum potassium concentration of 4.05 mEq/L? What serum potassium concentration corresponds to the 91st percentile? What proportion of adults are predicted to
The mean and standard deviation of the age of bank customers with large checking accounts are 44.0 and 6.0, respectively. Assume the age distribution follows a normal distribution. Determine the pro
Toss a fair die twice, and record the numbers. Find the probability that the first number is 3 given that the sum of two numbers is odd.
Let X1 and X2 be continuous random variables with the joint probability density function, fX1,X2(x1,x2), -inf.
An experimenter wishes to compare four treatments in blocks of two runs. Find a balanced incomplete design (BIBD) for this experiment with six blocks.
The feeding habits of two species of net-casting spiders are studied. These species, the Dinopis and Menneus, coexist in eastern Australia. One variable of interest is the size of the prey of each s
In using the F-test to test equality of variances in a two-tailed test, what can we do to insure that we will not need a left-tail critical value of F? Why is it of importance for a healthcare profe
Consider a sequence of independent Bernoulli trials with p=0.34. What is the expected number of trials to obtain the first success?
Samples of rejuvenated mitochondria are mutated (defective) in 2% of cases. Suppose 16 samples are studied, and they can be considered to be independent for mutation. Determine the following probabi
What shape do you think the distribution of all possible sample means of 30 will have? Discuss. Determine the value of the standard deviation of the distribution of the sample mean of all possible sam
We do not know how many of the women are Republicans or Democrats, or how many of the men are Republicans or Democrats, however. We are interested in the number of female Republicans. Assume thatwom
The University of Utah's football team plays Oregon State, USC and Arizona State with an estimated 70%, 60% and 40% chance of winning each game. What is the probability that the University of Utah w
Use sensitivity analysis to determine how the change of constraints on Risk-free securities would result in a decreasing of 0.04% on total expected return?
Assume that the mean mass of adult western grey squirrels in California is 749 grams with a standard deviation of 103 grams. Test the hypothesis that the squirrels in the arboretum have a different
Bob plans to spend her Saturday in casino this week playing slot machines. The probability of losing any one game on the slot machine she plays on is 0.65. And she decides to play until she loses 5
Write an equation of the model that can predict salary based on GPA. Do you think these predictions will be reliable? Use the correlation to explain
Let A1, A2 and A3 be events with probabilities 1/5, 1/4, 1/3, respectively. Let N be the number of these events that occur. Write down a formula for N in terms of indicators.
Suppose that B1 and B2 are mutually exclusive and complementary events, such that P(B1) = .6 and Consider another event A such that P(A | B1) = .2 and P(A | B2) = .5. Find P(A).
We find a test statistic of Z=-2.57 What is the corresponding p-value? Give your answer as a proportion between 0 and 1 to 4 decimal places.
In a simple random sample of 80 automobiles registered in a certain state, 32 of them were found to have emission levels that exceed a slate standard. How many automobiles must be sampled to specify
A large midwestern state administers a state wide mathematics exam that has an average of 500. A researcher is designing a study to test the idea that students from charter schools score higher than
Maintaining the probability of making a Type I error at 5%, is the mass of adult grey squirrels in the arboretum different from the mean for adult grey squirrels in California?