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A small town has a population of 20,000 people. Among these, 1,000 regularly visit a popular local bar. A sample of 100 people who visit the bar is surveyed for their annual expenditures in the bar. It is found that on average each person who regularly visits the bar spends about $2000 per year in the bar with a standard deviation of $200. Construct a 99 percent confidence interval around the mean annual expenditure in the bar.
The Weschsler IQ test has a μ =100 and a σ = 15. A vitamin company said if people took vitamin X for 30 days their IQ would improve. A simple random sample of 49 people took the vitamins for 30 days. They then took the IQ test. The mean IQ of the ..
The probability distribution for the possible results of an experiment is given, Determine the mean of the distribution.
Critically discuss why you would or would not expect each of the following variables to be normally distributed.
Give an example of two variables that probably have a significant linear correlation coefficient, but one variable does not necessarily cause the other.
Estimate the area under the Normal Distribution from the mean to a z-score of -2.07. Estimate the z-score that corresponds to an area of 0.5557 under the Normal Distribution.
Assume the chief does not want his officers to cite a car for speeding unless they are 99% sure that it is travelling at 58 miles per hour or faster. What is the minimum estimate of speed at which a car should be cited for speeding?
The Type 1 error states the probability of being wrong whenever:
Test either there is any difference among the given variable also what does the Levene's Test shows. What variable is presented in this table.
The average monthly gasoline purchase for a family with 2 cars is 90 gallons. This statistic has a normal distribution with a standard deviation of 10 gallons. A family is chosen at random.
Make up a scatter diagram with 10 dots for each of the following situations:
Suppose we estimate this model with OLS, and there is a correlation between unobserved student traits (in the error term) with attendance. How does this bias the coefficient of attendance?
Cars pass a certain street location according to a Poisson process with rate λ. A woman who want to cross the street at that location waits until she can see that no cars will come by in the next T time units.
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