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We seek evidence that supports the statement of the


a. null hypothesis

b. alternative hypothesis

c. level of significance

d. Type I error


The level of significance is always equal to .05

a. true

b. false


.A certain federal agency employs three consulting firms (A, B and C) with probabilities 0.4, 0.35, 0.25, respectively. From past experience, it is known that the probabilities of cost overrun for the firms are 0.05, 0.03, and 0.15 respectively. Suppose a cost overrun is experienced by the agency. a) What is the probability that the consulting firm involved is company C? b) What is the probability that it is company A?


In a certain federal prison, it is known that 2/3 of the inmates are under 25 years of age. It is also known that 3/5 of the inmates are male and that 5/8 of the inmates are female or 25 years of age or older. What is the probability that a prisoner selected at random from this prison is female and at least 25 years old?


In a certain federal prison, it is known that 2/3 of the inmates are under 25 years of age. It is also known that 3/5 of the inmates are male and that 5/8 of the inmates are female or 25 years of age or older. What is the probability that a prisoner selected at random from this prison is female and at least 25 years old?


.The probability that a patient recovers from a delicate heart operation is 0.8. What is the probability that: a) exactly 2 of the next 3 patients who have this operation will survive? b) all of the next 3 patients who have this operation survive?


If the probability is 0.1 that a person will make a mistake on his or her state income tax return, find the probability that: a) four totally unrelated persons each make a mistake b) Mr. Jones and Ms. Clark both make a mistake and Mr. Roberts and Ms. Williams do not make a mistake.


.In 1970, 11% of Americans completed four years of college, 43% of them were women. In 1990, 22% of Americans completed four years of college; 53% of them were women. (Time, Jan.19, 1996). a) Given that a person completed four years of college in 1970, what is the probability that the person was a woman? b) What is the probability that a woman would finish four years of college in 1990? c) What is the probability that in 1990 a man would not finish college?


. For married couples living in a certain suburb, the probability that the husband will vote on a bond referendum is 0.21, the probability that his wife will vote in the referendum is 0.28, and the probability that both the husband and wife will vote is 0.15. What is the probability that: a) at least one member of a married couple will vote? b) a wife will vote, given that her husband will vote? c) a husband will vote, given that his wife does not vote?


A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue? 


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