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A high-volume printer produces minor print-quality errors on a test pattern of 1000 pages of text according to a Poisson distribution with a mean of 0.4 per page.
Several statistical tests have a way to measure effect size. What is this, and when might you want to use it in looking at results from these tests on job related data?
As Brian is leaving for college, his parents give him a car, but warn him that they would take the car away if he gets 6 speeding tickets. Suppose that Brian receives speeding tickets according to P
If the alarm goes off and a person is refused admission, what is the probability that the person was really authorized?
What examples (professional, personal, social) can you provide on when we might use each type? What would be the appropriate hypotheses statements for each example?
A random sample of 12 lunch orders at Noodles and Company showed a mean bill of $12.99 with a standard deviation of $4.6. Find the 98 percent confidence interval for the mean bill of all lunch order
Two diseases A and B are spread in a certain population. It is known that 10% of the persons in this population will contract disease A, 15% will contract disease B, and 3% persons will contract bot
If, in 2020, the actual number of Parrots observed turns out to be 1400, which model seems to be a more reliable predictor of the data? Explain how your know this.
You want to determine which kind of die you have, so you rol it 4 times, and get the following: 5,2,5,5, What is the probability of this sequence of rolls if H1 is true? What if H2 is true?
In a recent study on gender differences in education, a sample of 7 boys had a mean score of 15.9 and a standard deviation of 4.1 on a Standardized Math Test. A sample of 11 girls had a mean score o
Let X be the number of teams from SD on Pete's season schedule. What's the probability that none of the Pete's opponents are from SD? What distribution and parameter(s) are you using?
Suppose that it costs $1 to play a game and the stuffed animal in the toy store costs $15. On average is it worthwhile for Lionel to play the crane machine game to get the stuffed animal instead of
The diameter of small Nerf balls manufactured at a factory in China is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of .08 inches. Suppose a r
If the standard deviation for the salaries of both genders is approximately $5200 and the salaries are normally distributed, find the 90th percentile salary for male professors and for female profes
In a class, 20% of the students are male and 80% female. Among male students, 40% wears eye glasses; among female students, 30% wear eye glasses. If we select a student from the class at random, wha
A grocery store is sponsoring a sales promotion where the cashiers give away one of the letters: a, e, l, s, u, v for each purchase. if the customer collects all six, he or she gets $20 worth of gro
What fraction of the pints of blood used do you expect were contaminated? Derive your answer both intuitively and using the algebra of probabilities.
According to a hospital administrator, historical records over the past 10 years have shown that 20 percent of the major surgery patients are dissatisfied with after-surgery care in the hospital.
If engines are randomly selected one at a time and tested, describe the Probaility Mass Function to use if we want to calculate the probaility that the first working engine will be found on the nth
What must be the probability of seven people in a household for this to be a legitimate discrete density? What is the probability that a randomly chosen household contains more than five people?
If the customer collects all six, he or she gets $20 worth of groceries free. What is the expected number of trips to a store a customer needs to make?
An oil exploration firm is formed with enough capital to finance ten explorations. the probability of a particular exploration being successful is .1. Assume the explorations are independent. Find t
If we increase the size of our sample, for ex. the pairs of data that we collect. Will this affect linear correlation coefficient and coefficient of determination? Please explain.
Let T be an exponential random variable for the failure of the screen for a television set, with a mean time to failure of 10,000 hours. If the set is operated an average of 6 hours per day:
Thus, it can end as early as the 4 th game (a "sweep") or as late as the 7 th game, with one team winning its fourth game after having lost three of the ?rst six games. Calculate the probability tha