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An economist wishes to estimate the average family income in a certain population. The population standard deviation is known to be $4,500, and the economist uses a random sample of size = 225. What is the probability that the sample mean will fall within $800 of the population mean?
Plot Kaplan-Meier Survival curve estimates along with true survival curve for n=25,100,1000
Decision making under risk is the same as decision making under uncertainty because in both the probabilities are unknown.
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.
A population is normally distributed with the mean of 100 and a standard deviation of Would it be unusual for mean of sample of 3 to be 115 or more? Why or why not?
A manufacturer of batteries is considering three new battery designs. An attempt was made to determine whether the mean lifetime in hours is the same for each of the three designs.
The resistances of carbon resistors of 1500 ohm nominal value are normally distributed with µ = 1500 and standard deviation = 200. What proportion of resistors is expected to have resistance greater than 1150 ohm?
Use the binomial distribution in the Data Analysis add - in to simulate the distribution of men and women among the next ten arrivals at an emergency room, assuming that, on average, six people out of ten who arrive are men.
Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture.
Assuming that the Poisson distribution is a plausible model in describing variability of asbestos fiber counts in filters; derive a 95% confidence interval indicating the variability in the average number in asbestos fibers.
When trying to understand the stroke data, what would be the advantage of looking at a histogram instead of this frequency distribution?
The reason why we finish our calculation by dividing range by 4 is that in most data sets 95% of the data values fall within two standard deviations of the mean.
Based on this information, confidence level would be 90% that population mean is somewhere between?
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