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1. A True-False test was developed for a Risk Management class. A student, who didn't study, decided to randomly guess the answer on each question. Assume that the probability that the student guess correctly on each question is 50%. The exam has 20 questions. A correct answer adds 1 to the test score, an incorrect answer adds 0.
a) What is the probability that the student has 3, 5, 12, 15, 18 and 20 correct answers?
b) What is the probability that the student has between 5 and 12 correct answers (including 5 and 12)?What is the probability that the student scores 17 and above ?
c) What is the probability that the student answers correctly more than 70% of the questions ? Compared with the case that the exam has 40 or 80 questions.
d) Formulate similar questions as (a) above for the case of multiple-choice test, in which the answers could be either A, B, C or D
A state meat inspector in lowa has been given the assignment of estimating the mean net weight of packages of ground chuck labeled " 3 pounds." Of course, he realizes that the weights cannot be precisely 3 pounds.
Assume the population standard deviation (s) is 0.5 and the sample size (n) is 100. Calculate the values for alpha, a type I error and beta, a type II error. (To calculate Beta, consider a mean that is 1 standard error away from the lower end valu..
Find the probability that at least one subject experiences headaches. Is it unusual to have at least one of six subjects experience headaches?
If only one bolt is chosen, determine the probability that it will be found defective for only 1 reason (that is. it is either too large or has poor workmanship, but not both.)
One normal curve has mean 23 and standard deviation 1, a second normal curve has mean 5 and standard deviation 10. The curve that is more dispersed, or spread out, is
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Kind of examination produced significant main effects on both mean mark and time taken to complete the examination.
No, there is not enough information to refuse hypothesis that proportion of male students who live on campus and proportion of female students who live on campus are same as the test value -1.65 is inside acceptance region (-1.96,1.96).
Is it true that one of the important properties of time series models is that some sort of pattern in the data over time should be detected first and then used within the model?
Compute the indicated confidence interval for the differenciate in proportions. Suppose that the samples are independent and that they have been randomly selected.
For an examination in which grades of 70 and 88 correspond to standard scores of -0.6 and 1.4 respectively. Find:
In general how is the magnitude of the standard error of estimate related to the value of correlation?
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