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Calcium is essential to tree growth because it promotes the formation of wood and maintains cell walls. In 1990, the concentration of calcium in precipitation in a certain area was 0.15 milligrams per liter (mg/L). A random sample of 10 precipitation dates in 2007 results in the following data table:
0.064, 0.088, 0.072, 0.239, 0.114, 0.184, 0.136, 0.214, 0.315, 0.106
a) Construct a 99% confidence interval about the sample mean concentration of calcium precipitation:
(____,____) (use ascending order, round to four decimal places)
b) Does the sample evidence suggest that calcium concentrations have changed since 1990?
Draw a bell curve for each one of the following normal probability distributions: the standard, the sat and Binet Intelligence scale. Draw a separate bell curve for each one.
A management trainee is selected at random. What is the probability that the person selected is a female who did not attend college?
An exam consists of 10 true or false questions. If a student guesses at every answer, what is the probability that he or she will answer exactly six questions correctly? (Round the answer to three decimal places)
as the number of degrees of freedom for a t distribution increases the difference between the t distribution and the
Decision making using the Transportation method.
X1, X2, X3, ... Xn are n independent, identically distributed random variables with expectation of 5 and variance of 4 (E[Xi] = 5, Var (Xi) = 4) and n is large. Determine Var(Y)?
Determine the probability that Mary obtains exactly one Head.
Let the random variable x represent the number that are not correctly calibrated. Find the mean and standard deviation for the random variable x.
Assume that the distribution is normal. Based on empirical rule how many students scored between 51 and 79.
Find a 95% confidence interval for the proportion p of the inner-city, working-class group who eventually became alcoholics.
A mean score on a standardized test is 50 with a standard deviation of 10. Answer the following:
Do you think the Poisson distribution, which assumes independent arrivals, is a good estimation of arrival rates in the following queuing systems? Defend your position in each case.
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