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1. A test indicates the presence of a particular disease 90% of the time when the disease is present and the presence of the disease 2% of the time when the disease is not present. If 0.5% of the population has the disease, calculate the conditional probability that a person selected at random has the disease if the test indicates the presence of the disease.
2. A hospital receives two-?fths of its ?u vaccine from Company A and the remainder from Company B. Each shipment contains a large number of vials of vaccine. From Company A, 3% of the vials are ineffective; from Company B, 2% are ineffective. A hospital tests n = 25 randomly selected vials from one shipment and ?nds that 2 are ineffective. What is the conditional probability that this shipment came from Company A?
The Agency for Healthcare Research and Quality reports that medical errors are responsible for injury in 1 out of every 25 hospital patients in the United States. These errors are tragic and expensive. Preventable health care-related errors cost t..
In relative frequency histogram for a large set of GPAs, the mean and the standard deviation are 2.10 and 0.21 respectively. What proportion of GPAs falls within 1.68 and 2.52?
A rocket fires two engines simultaneously. One produces a thrust of 800N directly forward while the other gives a thrust of 508N at an angle 38.2^circ above the forward direction.
The mean height of a certain plant is 160 centimeters. Suppose a botanist wants to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 160. What is the null hypothesis and the al..
Calculate the sample mean and sample standard deviation.
At significance levels of .05 and .01 test H 0 : the factors A and B are independent.
Formulating null and alternative hypothesis to test the claim averaging about $5000.
Test the equality of the means of three populations.
Last week I used a stopwatch to measure the echo time of my snare drum in the hall outside my classroom, which is 80 meters long. The average echo time was 10 milliseconds.
Mean = 14.2, s² = 5.92 and sum of X squared EX² = 2941.60. What can be concluded about age differences in problem solving ability?
A certain police officer stops cars for speeding. The number of red sports cars she stops in one hour is a Poisson process with rate 4, while the number of other cars she stops is a Poisson process with rate 1.
Utilizing the .05 level, do the results support the psychologists' theory. Elucidate your answer to somebody whom has never had a course in statistics.
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