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A random sample of 16 CSN students is taken. The average age in the sample was 27 years with a standard deviation of 4 years. Construct and interpret a 95 % confidence interval for the average age o
A random sample of 400 Las Vegas Residents are asked how much money they spent on entertainment in the past week. These 400 spent an average of $38 with a standard deviation of $18. Construct and i
A professor is interested in the number of students who use the campus library for academic purposes. She takes a random sample of 30 UNLV students and finds that 7 of them have used the library. Es
A sample of Alzheimer's patients is tested to assess the amount of time in stage IV sleep. The number of minutes spent is Stage IV sleep is recorded for a random sample of 61 Alzheimer's patients. T
Let fx(X) = 0 if x>2 or 1/2(1-(x/2)) if x<2 be the density function of a random variable x. Find the characteristic function of x.
During the period of time that a local university takes phone-in registrations, calls come in at the rate of one every two minutes.
The equation for a regression line predicting the numbers of hours of TV watched by children (Y) from the number of hours of TV watched by their parents (X) is Y=4+1.2X. The sample size is 12.
The formula for a regression equation based on a sample size of 25 observations is Y=2X+9 What would be the predicted score for a person scoring 6 on X?
In some states, the law requires drivers to turn on their headlights when driving in the rain. A highway patrol officer believes that less than one-quarter of all drivers follow this rule.
It is the responsibility of the federal government to judge the safety and effectiveness of new drugs. There are two possible decisions: approve the drug or disapprove the drug.
Perform a one-tail hypothesis, testing the claim that the true mean is 12 as opposed to the machine overfilling the bottles. Perform a two-tail hypothesis, testing the claim that the true mean is 12
The distribution of heights of adult males is normally distributed with mean 68 inches and standard deviation 2.9 inches. Answer the following. (Round your answers to 2 decimal places.) What minimu
Find the indicated quantities given that X is a normal random variable with a mean of 30 and a standard deviation of 1.5. (Round your answers to 4 decimal places.)
Suppose a point (X,Y) is chosen at random from the disk x^2 + y^2 is less than and equal to 1. Find the a) marginal density of X and b) the conditional density of Y given X = x.
The sheet UNIV&COL contains data on 80 colleges and universities. Among the variables included are the annual total cost (in thousands of dollars), the average total score on the SAT, and the ro
Suppose X has density function 3x^-4 for x is greater than or equal to 1.
At the end of his shells he will bring home at most one duck. Given that the first shot is a "hit" and the second is a "hit", what is the probability that the third shot is a "hit"?
If one voter is chosen at random, what's the probability that he/she is a Democrat and favors the school of choice program? What is the probability that a randomly selected Republican opposes the scho
The probability of a successful missile launch is 0.9. Test launches are conducted until 3 successful launches are achieved.
An agricultural field trial compares the yield of two varieties of tomatoes for commercial use. The researchers divide in half each of 10 small plots of land in different locations and plant each to
There are two tennis courts.Pairs of players arrive atrate3perhour and play for an exponentially distributed amount of time with mean 1 h. If there are already two pairs of players waiting new arriv
Let X1,...,Xn1 be an iid sample from N(u1,o^2) and let Y1,...,Yn2 be an iid sample from N(u2,o^2), where parameters u1,u2, and o^2 are unknown. Suppose that two samples are independent. Find a 95% c
Let x1, x2...xn be independent and N(o,1) distributed. Let Sn= (X^2)1+...+(X^2)n. Show that sn is a random variable x^2-distributed with d.f=n ( use Moment generating function)
Let x be a random variable with fx(x) = (2/X^3) if x>1. Compute P(x>k) and compare it with the upper bound on this quantity given by Markov's inequality.