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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?
An instructor claims the average time to take a statistics test is greater than 39 min. As, if a sample of 33 students took 43 min. is the instructor's claim true?
Prepare the confidence interval of 95% for the welders' proportion that graduated in the school of welding.
Assuming that the dogs did better than what would be expected with random guessing, did they do well enough to be used for actual medical diagnoses? Why or why not?
elizabeth has just put 4 new spark plugs in her car. for each spark plug the probability that it will fail in the next
He also knows that the number has 7 digits and the last digit is not a zero. if jay were to dial all of the possible numbers and it takes him 21 seconds to try each one, how long will it take him to try each possibility?
suppose the number of radios in a household has a binomial distribution with parameters n 12 and p 80 . find the
the quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes
If 45% of the residents play poker and garden and 50% of the residents play both shuffleboard and poker, find the probability that a resident plays poker, given that they garden (that is, find P(poker | garden)
Determine if the null hypothesis should be rejected or retained based on the results
The State Transportation Department is interested in estimating the proportion of vehicle owners that are operating vehicles without the required liability insurance.
1. What is the current status of the housing stock in the county?
at a track and field tournament freds long jumps vary evenly from 6.5 to 7.2 meters. let x be the length of freds long
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