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The region or area of rejection defines the location of all those values that are so large or so small that the probability of their occurrence under a true null hypothesis is rather remote.
The commerce department in a California County claims that the mean rental for a 3 room apartment is $850. A real estate company believes the commerce department's claim is not correct and randomly
For the experiment described below, let x determine a random variable, and use your knowledge of probability to prepare a probability distribution. Two dice are rolled, and the total number of point
Consider the drawing below, of system of five pipes in which each pipe has a valve which is open (allowing fluid to pass through) with probability p, 0 < p < 1, and otherwise closed (blocking
Find the probability that a 13-card bridge hand contains no ace-king pair from the same suit (i.e. the 13 cards must not have any ace and king of the same suit).
Let Xn be the state of the machine at beginning of day n, where the state is 0 if the machine has just failed, 1 if 1 day's worth of repair work is done on it, and 2 if it is up. Show that {Xn; n>
Explain your findings and answer the question. Discuss the proportion of adults who liked the candy compared to the proportion of children who liked the candy.?
A random sample of 328 doctors showed that 171 had a solo practice. Find out a 95% confidence interval of the proportion of doctors with a solo practice.
Determine the difference between the reliability of a measure and the validity of measure? Determine the difference between test-retest reliability and split-half reliability?
The salaries of 45 college administrators is found to have average mean of $50,340. Suppose that the standard deviation is $16,920. Find out a 90% confidence interval for population mean of the sala
Construct confidence interval for µd, the mean of differences d for population of paired data. Suppose that the population of paired differences is normally distributed.
Lighting strikes average of 7 times per minute throughout a summer thunderstorm. What's the chance that it strikes again within 3 seconds of the previous strike?
Assume that the amount of time one spends in a bank is exponentially distributed with mean 10 minutes, l = 1/10. Determine the probability that a customer will spend more than 15 minutes in the bank?
Warren Buett is considering investing $1000. His nancial advisor show him 2 types of bonds A and B. The A bonds have 6% annual yield with a default rate of 1%. The B bonds have an 8% annual yield wi
Marketing estimates that a new instrument for blood testing will be very successful, moderately successful, or unsuccessful, with probabilities 0.3, 0.6, and 0.1, respectively.
Write down a formula for probability that at least one hundred new customers will be identified.
The Supreme Court has said that z-scores beyond z* = 2 or 3 are generally convincing statistical evidence. For a two-sided test, what significance level corresponds to z* =2? To z* = 3?
There is an 80% chance that the prospective employer will check educational background of job applicant. For 100 randomly selected job applicants, employ normal as approximation (with continuity cor
In a research study using a sample of 30 participants, the Pearson r correlation between X ans Y is +0.09 and is not statistically significant.
Let X and Y be two discrete random variables. Suppose X ? Y . Prove that E[X] ? E[Y ]. Note that you have not been given any information about the equations for the pmf's of X and Y.
A continuous random variable X has a density of the form f(x) = Ce ^ - abs(x), defined on all of R. Find C
Let X be the number of heads minus number of tails obtained in n independent tosses of fair coin. Find out a formula for its probability function and one for its distribution function.
What is the probabilty of obtaining a random sample n=4 scores with a sample mean that is within 5 points of the population mean?
For each of the following, state whether you would expect the Pearson r correlation between X and Y to be positive, zero, or negative.
Assume a population has a mean of 85 and a standard deviation of 20. Determine the probability of selecting a sample of size n=36 that has a mean between 86.2 and 89.6?