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Suppose you manage a plant that purifies its liquid waste and discharges the water into a local river. An EPA inspector has collected water specimens of the discharge of your plant and also water specimens in the river upstream from your plant. Each water specimen is divided into five parts, the bacteria count is read on each, and the mean count for each specimen is reported. The average bacteria counts for each of six specimens are reported in the following table.
(a) Test, at the significance level of 0.05, whether the mean bacteria count for the plant discharge exceeds that for the upstream location.
Plant Discharge Upstream30.1 29.736.2 30.333.4 26.428.2 27.329.8 31.734.9 32.3
Using Poisson Distribution with u= 4 tumors per eye, determine probability that there are at least four occurrences of tumors per eye?
The cholesterol concentration in the yolks of each of a sample of 22 randomly selected eggs laid by free range chickens were found to have a mean value of 9.38 mg/g of yolk and a standard deviation of 1.62 mg/g.
Use this information to compute a 95% confidence interval for average number of credit cards carried by students.
A newspaper conducted a statewide survey concerning a proposal to raise taxes to prevent budget cuts to education. The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes. Let..
Joe Mauer of the Minnesota Twins had the highest batting average in the 2009 Major League Baseball season. His average was .461. So assume the probability of getting a hit is .461 for each time he batted. In a particular game, assume he batted fou..
Determine the probability in big class that both sections are covered? Only one section? Neither section? Determine the expected number of sections covered?
Think about a real world situation or problem that could be addressed using a single-sample t test. For this situation or problem, clearly identify the independent and dependent variables you would study
a) Under what circumstances can z be greater than one? b) Under what circumstances can a probability be greater than one?
Use the population mean and standard deviation to find the z-score corresponding to 14.5%, the rate offered by the Bar Harbor Bank and Trust Company. Is this above or below the average?
A silver dollar is flipped 100times, with the following results: Heads =57, tails=43. What test should be used to determine if this is a fair coin?
If we repeated this procedure many, many times, only 5 percent of the 95 percent confidence intervals would fail to include the mean Math SAT score of the population of all students at this college.
Construct a 99% confidence interval for the average length of usage time to recharge.
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