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QUESTION 1: A population of 1,000 people is monitored for a year for the development of measles. No one has measles at the start of the investigation. Thirty people develop measles on June 30 and twenty people develop measles on September 30. Eight people are lost to follow-up on March 31 and twenty-four people are lost to follow-up on November 30. None of those lost to follow-up had developed measles prior to becoming lost. Assume that you can only get measles once.
QUESTION 2: Consider a group of 1,000 newborn infants. 100 infants were born with serious birth defects and 20 of these 100 died during the first year of life. 90 of the 900 remaining infants without any birth defects also died during the first year of life.
QUESTION 3: Suppose that you are following a group of children for the development of asthma over a one- year period. You identify 100 children on January 1st, screen them for asthma, and set up a monitoring program to check on their status on a monthly basis. Five children are considered prevalent cases because they were diagnosed with asthma before January 1st. Ten children develop asthma on March 1st and another ten children develop asthma on July 1st. Another 10 children who remain healthy were followed for six months and then were lost to follow-up. All of the remaining children did not develop asthma and were not lost to follow-up. Follow-up ended on December 31st.
You plan to conduct a survey to find what proportion of the workforce has two or more jobs. You decide on the 95 percent confidence level and state that the estimated proportion must be within 2 percent of the population proportion.
the probabilities of two events x and y are 0.4 and 0.6 respectively. the conditional probabilities of three other
Probability of passing a student who guesses on every question is less than 0.10. What score should be set as the lowest passing grade if each question is worth one point?
Draw and label the Normal model.- Would it be safe to use these rivets in a situation requiring a shear strength of 750 pounds? Explain.
With a good stopwatch and some practice, you can measure times ranging from approximately 1 second up to many minutes with an uncertainty of 0.1 second or so.
a recent survey was conducted where 431 of 643 males said they thought u.s. air travel is safer now than it was prior
A study is run to estimate the incidence of atrial fibrillation (AF) in men and women over the age of 60. Development of atrial fibrillation was monitored over a 10 year follow-up period. The data are summarized below.
suppose we observe a random variable x having the exponential distribution with parameter a which means that x has
Precisely (that is, using specific numbers) what does the central limit theorem tell us about the sampling distribution of sample means for samples of this size from this population?
Let Y, Y2 denote the order statistics of a random sample of size 2 from a distribution which is N(µ, u2), where u2 is known.(a) Show that Pr ( Y1 µ Y2 ) = !and compute the expected value of the random length Y2 - Y, .
measurements of the diameter of a random sample of 100 ball bearings made by a certain machine during one week showed a
considering that a researcher can test at the ltp .05 95 p .01 99 or p .001 99.9 level for statistical significance
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