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Suppose that a random sample of 100 students is drawn from a population of 3000 college students. Among sampled students, the average IQ score is 115 with a standard deviation of 10. What is the 99% confidence interval for the college students' IQ score?
Considering that the average IQ test score at national level for the population in the same age range is 110 (standard deviation of 7), how likely is it that the students admitted at that particular college are randomly selected? Do you think that the school applies some sort of entry selection? If yes, do you think that the selection is efficient? Why? Please provide the details of your calculations.
the umuc daily news reported that the color distribution for plain mampms was 35 brown 20 yellow 20 orange 15 green and
what is the proportion of the total area under the normal curve within plus and minus two standard deviations of the
Newgroveton is a community of 445,000. In the most recent year, there were 750 new cases of disease A in the community.
Suppose we collect a sample of 100 pregnant women from a different antenatal care clinic, what is the probability that the sample mean for that sample is within 1 unit of the true BMI, if the standard deviation for BMI is 3.6?
Construct the 90% confidence interval for the mean sale time for all homes in the neighborhood.
Suppose the probability of the worst-case scenario increases Compute the expected value of perfect information
Assume normality. Find a 99% confidence interval for the population mean penetration depth.- Is there any evidence to suggest the population mean penetration depth is less than 120 feet?
ACME will incur the cost of replacement, but will not receive any additional revenue. What is the profit earned/loss incurred on an all weather tire that exceeds 40,000 miles?
An instructor wanted to know the relationship between his review sessions and passing the final exam. He recorded whether students attended his review session.
Assume that the population standard deviation is 52 seconds. Is there any evidence to suggest the advertising campaign has been successful? Use a = 0.01.
The results are n = 65 and r = 0.37. Is there statistical evidence of a linear correlation between the two variables?
A random variable X has P{X = 0} 0.9. Given X ≠ 0, it has a uniform distribution between 5 and 15. Thus, E(X) = 1. Obtaining uniform random numbers as instructed at the beginning of the Problems section, use simulation to estimate E(X).
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