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Suppose we wanted to simulate the probability of observing at least 15 positive results and 5 negative results in a set of 20 results, when the probability of a positive result was claimed to be .75. Use a random number generator to simulate the running of 20 screening tests.
a. Let a two-digit number represent an individual running of the screening test. Which numbers represent a positive outcome of the screening test? Which numbers represent a negative outcome?
b. If we generate 2,000 sets of 20 two-digit numbers, how can the outcomes of this simulation be used to approximate the probability of obtaining at least 15 positive results in the 20 runnings of the screening test?
Using a significance level of 0.03, carry out a hypothesis test to determine if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court.
the weekly demand for a product is believed to be normally distributed. compute the degrees of freedom. use ?0.10. the
Chlorine concentration in a municipal water supply is a uniformly distributed random variable that ranges between 0.74 ppm and 0.98 ppm.
use the least squares regression line from question 1. 70.509 0.293 circumference one man had his waist circumference
Mr. X invites 15 relatives to a party: his mother, three uncles, two aunts, four brothers, and five cousins. If the chances of any one guest arriving first are equally likely
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Do you think the Poisson distribution, which assumes independent arrivals, is a good estimation of arrival rates in the following queuing systems? Defend your position in each case.
Suppose that in order to satisfy legal requirements, a meat pie manufacturer may only produce .2% of pies below a weight of 750grams. If the preceding holds and if the weight of all pies is normally distributed with a standard deviation of 50 gram..
The exercise problem the following information to figure prevalence and incidence rate:
The mean difference in total cholesterol levels (after - before) was 27.138 mg/dL with a standard deviation of 7.3685 mg/dL. Create a 95% confidence interval for the true average difference in cholesterol levels by the drug.
What values would be appropriate for the performance measures listed in the preceding problem for the case in which two tellers are available?
suppose that a category of world class runners are known to run a marathon 26 miles in an average of 142 minutes with a
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