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Question
When testing subjects for HIV in surveillance studies WHO protocol states that subjects whose test result is negative on the first test should be classified as 'HIV negative'. Subjects whose test result is positive on a first test should be retested twice and classified as 'HIV positive' if one or both of these retests are positive. If both of the retests are negative then the subject is classified as 'HIV negative'.
Let the sensitivity of a single test be x and the specificity be y. Write down, in terms of x and y the sensitivity and specificity of the tests carried out under the WHO protocol. Use these expressions to compare the effects of using the WHO protocol as opposed to using a single test. Discuss some of the advantages and disadvantages of the WHO protocol versus the single test. Give the assumptions that you have made in carrying out calculations.
Simulate arrival of cars at service station for one hour using different stream of random numbers from those used in (a), and calculate average time between arrivals.
Public transportation and the automobile are two methods an employee can use to get to work each day. Samples of times recorded for each method are shown. Times are in minutes.
The probability that 0, 1, 2, 3 or 4 people will seek treatment for the flu during any given hour at any given emergency room is shown in the following distribution. What are the variance and standard deviation of X?
The dying rate in an industrial process is department of many factors and varies according to the following distribution.
Using Binomial approximation, find the proportion of the days that will be rejected.
The average for the test is a 1700 and the population's standard deviation is 50. what percentile rank of students is Logan in based on her SAT score.
Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.) State the decision rule for .05 significance level. (Round your answer to 3 decimal places.)
The overall average for the samples is 17 ounces. The range is only 0.5 ounce. Determine the upper and lower control-chart limits for averages for the boxes of cereal.
Plot the data on fruit and vegetable consumption. Discuss the underlying causes that might explain the trend or pattern. Fit a linear trend to the data.
He measures the heights of 25 men from this century and finds the mean and standard deviation for his sample.
The heights in centimeters of 5 students are: 165, 175, 176, 159, 170. The sample median and sample mean are respectively:
By using the age midpoints x and the percentages of nurses, do we have a valid probability distribution? Describe.
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