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Suppose that each student has a probability p of correctly answering a question chosen at random from a universe of possible questions. (A strong student has a higher p than a weak student.) The correctness of answers to different questions are independent. A student has p = .75.
a. Use the normal approximation to find the probability that the student scores 70% or lower on a 100-question test.b. If the test contains 250 questions, what is the probability that the student scores 70% or lower?c. How many questions must the test contain in order to reduce the standard deviation of the student's proportion of correct answers to half its value for a 100-item test.d. A weaker student has p = .6. Does the answer you gave in (c) apply to this case also?
At the .01 significance level, is there a relationship between job pressure and age?
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A driver hired at the beginning of a year can be used to meet the current year's requirements and is paid full salary for the current year. Determine how to minimize the bus company's salary, hiring, and firing costs over the next 5 years.
Find the z score corresponding to a score of X = 60 for each of the following distributions:
The heights were measured for nine supermodels. They have a mean of 67.1 and a standard deviation of 2.3 in. Use the traditional method and a 0.01 significance level to test the claim that supermodels have heights with a mean that is greater than ..
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A jar contains 2 black marbles and 8 white marbles. If you randomly pick 2 marbles without replacement, what is the probability that you get one marble of each color?
The symbol beside the x should be a straight line, and the less than sign should have a bar under it. I did not know how to key these symbols.
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