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A box contains 3 marbles, 1 red, 1 green and 1 blue. Consider an experiment that consists of taking 1 marble from the box, then replacing it and drawing a second marble from the box. Describe the sa
Participants enter a research study with unique characteristics that produce different scores from one to another. For an independent-measures study, these individual differences can cause problems
What is the probability that a person visiting disneyland will go on at least one of these rides?
An engine part has been designed to have a diameter of 55 millimeters. The standard deviation of the process is 0.001 millimeter.
The intersection at the foot of "sled Hill" average 60 traffic accidents per year. What is the probability of two or more accidents in the next two months?
Among the 78 doctors on the staff of a hospital, 64 carry malpractice insurance, 36 are surgeons, and 34 of the surgeons carry malpractice insurance.
Let X represent a standard normal random variable. Without generating any random variables, plot Φ(x), the cdf of X (the command erfc will help). Generate n = 10 standard normal random variables
Suppose that the random variable Y is an observation from a normal distribution with unknown mean u and variance 1. Find a:
The average length is 7.25 ft. A variation in length of 0.3 inches can be tolerated. Calculate the percentage of the rejected columns. To reduce the rejection rate by one half, calculate the require
Formulate a linear programming model for this problem. Use the graphical method to solve this model.
Suppose that each of these electrons strikes a second plate and releases further electrons, independently of each other and each with the same probability distribution as N. Let Z be the total numbe
The true weight of "10-pound" sacks of potatoes processed at a certain packaging house follows a normal distribution with mean of 10.1 pounds and standard deviation of 0.2 pounds.
The Ohio Department of Agriculture tested 203 fuel samples across the state in 1999 for accuracy of the reported octane level. For premium grade, 14 out of 105 samples failed (they didn't meet ASTM
Construct a 95% confidence interval for the true proportion of the market who still refuse to visit any of the restaurants in the chain three months after the event.
What sample size is needed to achieve power of .80 when the mean diamter of the manufactured disc is 4.55 inches assuming the significance level remains at .01?
Suppose we want to be accurate to within 0.25 pounds of the true breaking strength of our trash bags when using a 95% confidence interval. What is the minimum number of bags we should sample?
Suppose that in a certain population of adults who have sleep apnea (a sleep disorder), 74% are males, 26% are females, 83% are being treated for their sleep apnea, and 60% are males who are being t
If an adult is randomly selected, what is the probability that the person is a male who is not being treated for sleep apnea?
You wish to compare three treatments for effectiveness in preventing flu:
A sample space consists of 4 simple events: A, B, C, D. Can the sample space be view as having two events, A and Ac(the complement of an event A, the event that A does not occur)? Explain.
Identify the two elements of an experiment that make this type of research study different from other research methods. (on Essentials of Statistics for the Behavioral Sciences)
A large corporation sponsors bowling leagues for its employees. The mean score for men was 154 pins with a standard deviation of 9 pins, while the women had a mean score of 144 pins with a standard
She rolls the die again. If the die comes up 3, 4,5,or 6, the paper receives a D. Otherwise the Paper receives an F. Plot the probabilit distribution of paper grades.