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Biology and Environmental Science
The water quality in many lakes and rivers is routinely monitored by tracking the turbidity, a measure of the total amount of suspended solids in the water. High turbidity measured in nephelometric turbidity units, or NTUs, suggests murky water. Heavy rains tend to raise river levels and increase turbidity. A sample of weekly rainfall total (x, measured in inches) and turbidity (y, in NTUs) was obtained for the Wide Waters site at Owasco Lake in New York. The data are given in the following table.
a. Find the estimated regression line.
b. Conduct a test of H0: β1 = 0 versus Ha: β1 ≠ 0 with a significance level of 0.05
c. Find an estimate of the expected turbidity if 0.55 inch of rain has fallen within the past week.
d. What proportion of the observed variation in turbidity is explained by this regression model? How do you think this model could be improved?
In the general population, one woman in ten will develop breast cancer. Research has shown that 1 woman in 600 carries a mutation of the BRCA gene. Seven out of 10 women with this mutation develop breast cancer.
the alphacor company experiences some type of failure on its computer network on average once every 4 hours. assume
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ESPN reported in sample of 1000 homes the proportion of people who watched the Texas v. Ohio State college football game this weekend was .6.
a researcher is testing the effect of a new depression pill that may have side effect on reducing physical fitness. a
If the proposed textbook receives a favorable review, how should the editor revise the probabilities of the various outcomes to take this information into account?
For the digital filter of Problem 11.2.6, generate 100 sample paths Y0,..., Y500 assuming the Xi are iid Gaussian (0, 1) random variables and Y(0) = 0. Estimate the expected value and variance of Yn for n = 5, n = 50 and n = 500.
12 fall outside these specifications. construct the 95% confidence interval for the percentage of all boards in this shipment that fall outside the specifications.
How many bad seeds do you expect to get?- What's the standard deviation?- What assumptions did you make about the seeds? Do you think that assumption is warranted? Explain.
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