Tests for tuberculosis like all other diagnostic tests are not perfect. QFT-G is one of suchtests for tuberculosis. Suppose that for the population of adults that is taking the test, 5%have tuberculosis. The test correctly identifies 74.6% of the time adults with a tuberculosisand correctly identifies those without tuberculosis 76.53% of the time. Suppose that POSstands for the test gives a positive result and S means that the adult really has tuberculosis.Represent the "76.53%" using notation.P(S)P(SC)O P(POSC | Sº)O P(POS | C)

The events are defined as follows:: stands for the test that gives a positive result and : means…

Answered: Tests for tuberculosis like all other…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The Bombardier Dash 8 aircraft can carry 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6200 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6200lb/37 = 167.6lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 185.47 lb and a standard deviation of 39 lb. make sure to include pdf
Suppose you are conducting a paired t test to determine whether or not caffeine has an effect on heart rate. You have a sample of 60 participants and they ingest no caffeine each day for a week. At the end of the week, you measure their heart rates and find the mean. Then, the same 60 participants are given 500mg of caffeine every day for a week and again, at the end of the week you measure their heart rates and find the mean. What would the null hypothesis be for this test?
A company makes high-definition televisions and does not like to have defective pixels. Historically,the mean number of defective pixels in a TV is 20. An engineer is hired to make better TV’s that havefewer defective pixels. After his first week of work he claims that he can significantly improve the currentmethod. To check his claim you try his new method on 100 new televisions. The average number ofdefective pixels in those 100 TV’s is 19.1. Assume that the new method doesn’t change the standarddeviation of defective pixels, which has always been 4.(a) Test if the new method is significantly better than the old one at the α = 0.05 level.(b) Using the new method, assume that the mean number of defective pixels is actually 19. What is thechance that your test from part 1 will conclude that the new method is statistically more effective?
Ministry of economic development conducted a survey to determine why people go to trade shows. The respondents were asked to rate a series of reasons on a scale from 1 to 5, with 1 representing little importance and 5 representing great importance. One of the reasons suggested was general curiosity. Responses for 50 people from the electronics industry results in a sample mean of 1.96 and 50 people from the food industry results in a sample mean of 3.02 for general curiosity. Use the data and α = 0.01 to determine whether there is a significant difference between people in these two industries on this question. Assume the variance for the electronics population is 1.0188 and the variance for the food population is 0.9180. Clearly state your null and alternate hypothesis. State the decision rule. Show the calculation of the test statistic. Give your answer to 2 decimal places where appropriate. State the statistical conclusion and explain the result in context of the question.
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A team of researchers working on the development of vaccines conducted a study on two vaccines. Thirty individuals participated in the study and were randomly assigned to two groups and one group received vaccine 1 and the other group vaccine 2. The researchers then measured the amount of antibody in the individuals' blood after ingestion, entered R and calculated some fish sizes that can be seen here below. x̄1 = 494,54, s1 =52,39, x̄2 = 467,93, s2 = 45,20, d = 26,61, sd = 68,69. Blood levels of antibodies can be expected to follow normal distribution. Use α = 0,05. c) What conclusion do you draw from the hypothesis test in point b about the possible difference in the mean amount of antibody after oral administration of the vaccines? d) The researchers also created a 95% confidence interval for the difference between the averages. Will the confidence interval contain the value 0? Justify your answer without calculating the confidence interval.e) Let us now assume that there is in fact…
Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 42 passengers, and a flight has fuel and baggage that allows for the total passenger load of 6,972lb. The pilot sees that the plane is full and all the passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6,972lb/42=166lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that the weights of men are normally distributed with a mean of 176.9lb and a standard deviation of 37.7. THE probability is approximately. ? Round to four decimal places.
Ginny’s professors conspired to all give a test on the same day. She gets an 82 on her psychology exam with μ = 76 and σ = 12. She receives a z-score of -.25 on her management exam. Finally, she scored at the 50th percentile on her normally distributed math exam. Place her test scores in order from lowest to highest score.

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