Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. assume that x has a distribution that is approximately normal, with mean ? = 6300 and estimated standard deviation ? = 1650. a test result of x < 3500 is an indication of leukopenia. this indicates bone marrow depression that may be the result of a viral infection.
(a) what is the probability that, on a single test, x is less than 3500? (round your answer to four decimal places.)
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(b) suppose a doctor uses the average x for two tests taken about a week apart. what can we say about the probability distribution of x?
the probability distribution of x is approximately normal with ? x = 6300 and ? x = 825.00. the probability distribution of x is not normal. the probability distribution of x is approximately normal with ? x = 6300 and ? x = 1650. the probability distribution of x is approximately normal with ? x = 6300 and ? x = 1166.73.

what is the probability of x < 3500? (round your answer to four decimal places.)
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(c) repeat part (b) for n = 3 tests taken a week apart. (round your answer to four decimal places.)
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(d) compare your answers to parts (a), (b), and (c). how did the probabilities change as n increased?
the probabilities increased as n increased. the probabilities stayed the same as n increased. the probabilities decreased as n increased.

if a person had x < 3500 based on three tests, what conclusion would you draw as a doctor or a nurse?
it would be a common event for a person to have two or three tests below 3,500 purely by chance. the person probably has leukopenia.
it would be an extremely rare event for a person to have two or three tests below 3,500 purely by chance. the person probably has leukopenia.
it would be a common event for a person to have two or three tests below 3,500 purely by chance. the person probably does not have leukopenia.
it would be an extremely rare event for a person to have two or three tests below 3,500 purely by chance.

Study published in the journal of personality and individual differences found that adults with adhd displayed more creative achievement than those who didn't have the disorder. "for the same reason that adhd might create problems, like distraction, it can also allow an openness to new ideas," says holly white, assistant professor of cognitive psychology. "not being completely focused on a task lets the mind make associations that might not have happened otherwise." white and priti shah at the university of michigan gave 60 college students – half of them with adhd – a series of tests measuring creativity across 10 domains. the adhd group scored higher across the board. the adhd group showed more of a preference for brainstorming and generating ideas than the non-adhd group, which preferred refining and clarifying ideas. the adhd status of the participants was established by asking whether the individual had ever been clinically diagnosed with adhd/add. the tests of creativity were pencil-and-paper tasks administered in a laboratory setting. each of the ten scales was comprised of multiple questions, the scores on which were summed (e. g., writing creativity: "how many words can you make from the letters in the word 'psychology' invention creativity: "write down as many uses for a paper clip that you can think of.") this procedure does allow for a participant to be scored as showing no creativity under these conditions. a) state the research question in plain language (i wonder if is related to (1 point) b) state the null hypothesis (1 point) c) state the research hypothesis (1 point) d) is the research hypothesis directional or non-directional (1 point) e) name the predictor / independent variable f) give the operational definition of the predictor / independent variable g) evaluate the construct validity of the predictor / independent variable. (face, procedure, method-match) h) name the outcome / dependent variable i) give the operational definition of the outcome / dependent variable. j) evaluate the construct validity of the outcome / dependent variable. (face, procedure, method-match)