Given a test for a virus with sensitivity = 0.94 and specificity = 0.98 is administered to a population where 25% actually has the virus. ) Determine the probability of: i) a false positive (positive test, but no virus) ii) a false negative (has the virus, but negative test) iii) a correct diagnosis (either virus and positive or no virus and negative) ) Determine the PPV (positive predictive value) for the test.

Number 1, Letters a, b, and c

Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 87 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 87 tons and standard deviation o = 1.1 ton. (a) What is the probability that one car chosen at random will have less than 86.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 20 cars chosen at random will have a mean load weight x of less than 86.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 86.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? O Yes O No Suppose the weight of coal in 20 cars selected at random had an average x of less than 86.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability that this…

Please do the following questions with full handwritten working out. Mean= 0.177911 Variance=0.057632

Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about u = 28 ml/kgt. Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 31 26 43 37 32 38 29 Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and o = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from u = 28 ml/kg? Use a 0.01 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 28 ml/kg; H,: µ > 28 ml/kg; right-tailed O Ho: H = 28 ml/kg; H,: u < 28 ml/kg; left-tailed O Họ: H + 28 ml/kg; H,: µ = 28 ml/kg; two-tailed O Ho: H = 28 ml/kg; H,: µ + 28 ml/kg; two-tailed (b) What sampling distribution will you…

Indrilling a vertical wellbore, the spacing between major fractures are recorded. It has been found that this spacing is having a mean of 180o ft and a variance of 3,240,000 ft In the first 2000 ft drilling, there was no present of major fracture in the well. Determine the probability that there is a major fracture at the depth of 2000-3500 ft. Select one: a.0.57 b.o.43 C. O.19 do 82

The Kyoto Protocol was signed in 1997, and required countries to start reducing their carbon emissions. The protocol became enforceable in February 2005. In 2004, the mean CO2 emission was 4.87 metric tons per capita. In 2010, the CO2 emissions for a random sample of 31 countries were collected. Is there enough evidence to show that the mean CO2 emission is lower in 2010 than in 2004? State the random variable, population parameter, and hypotheses. The symbol for the random variable involved in this problem is            The wording for the random variable in context is as follows:          The symbol for the parameter involved in this problem is            The wording for the parameter in context is as follows:          Fill in the correct null and alternative hypotheses:�0:                    ��:                     A Type I error in the context of this problem would be                A Type II error in the context of this problem would be