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In each of the following data problems there is some potential violation of one of the independence assumptions. State whether there is a cluster effect or serial correlation, and whether the questionable assumption is the independence within groups or the independence between groups.
(a) Researchers interested in learning the effects of speed limits on traffic accidents recorded the number of accidents per year for each of 10 consecutive years on roads in a state with speed limits of 90 km/h. They also recorded the number of accidents for the next 7 years on the same roads after the speed limit had been increased to 110 km/hr. The two groups of measurements are the number of accidents per year for those years under study. (Notice that there is also a potential confounding variable here!)
(b) Researchers collected intelligence test scores on twins, one of whom was raised by the natural parents and one of whom was raised by foster parents. The data set consists of test scores for the two groups, boys raised by their natural parents and boys raised by foster parents.
(c) Researchers interested in investigating the effect of indoor pollution on respiratory health randomly select houses in a particular city. Each house is monitored for nitrogen dioxide concentration and categorized as being either high or low on the nitrogen dioxide scale. Each member of the household is measured for respiratory health in terms of breathing capacity. The data set consists of these measures of respiratory health for all individuals from houses with low nitrogen dioxide levels and all individuals from houses with high levels.
The owner was interested in the mean time required to service this model, and decided not to carry the model if the mean repair time appeared to be more than 40 minutes.
What is the probability the number of fatal crashes will be between 1000 and 2000 for a year?
Jim owns three real estate offices in Anytown. He has decided to open one more office, but cannot decide between hometown or uptown as the towns where he wants to locate.
Thirty-six percent of women consider themselves basketball fans. You randomly select six women and ask each if she considers herself a basketball fan. a) construct a binomial distribution.
Estimate the population in 1600 and graph the population trend from 1600 through to 2000
a medical treatment has a success rate of 0.8. two patients will be treated with this treatment. assuming the results
a box contains 4 red balls 3 orange balls and 2 yellow balls and each ball has the same size. in how many ways can you
Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance.
in a study of redgreen color blindness 950 men and 2000 women are randomly selected and tested. among the men 83 have
The Palace Hotel believes it's customers may be waiting too long for room service. The hotel operations manager knows that the time for room service orders is normally distributed and he sampled 10 room service orders during a 3-day period
verify that the function fx 3414x x 0 1 2... is a probability mass function. determine the requested probabilitiesa
What reason would you give for supposing that the distribution is approximately normally distributed for large n?
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