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Polychlorinated biphenyls (PCB's) are used in the manufacture of electrical transformers and pose a great danger to health when released into the environment. The PCB concentration (in parts per million, ppm) was measured in samples of fish from two rivers:
River A 8.1 7.7 8.3 9.1 7.1 7.8 8.3 6.4 8.1 7.2
River B 6.5 6.3 5.3 4.2 5.6 5.6 5.5 6.0
(a) Test at alpha = .01 if the mean PCB concentration in fish is significantly higher for river A.
(Use Excel to find x, s2 , y, s2 then do the rest by hand)
(b) Estimate the mean difference PCB concentration for the fish in the two rivers using a 99% confidence interval.
Suppose there are two samples of size 6 and 7, with a rank sum of 58 in the sample of size 6. Using the Wilcoxon rank-sum test, evaluate the significance of the results, assuming there are no ties.
To determine monthly rental prices of apartment units in San Francisco Bay area, samples were constructed in the following ways. Identify the technique used to produce each sample.
Find the probability that a randomly selected x-value from the distribution is in the given interval. Between 29 and 37.
If a student is randomly selected what is the possibility that the student is male and from out of state.
A local college requires an English composition course for all freshman. This year they are evaluating a new online version of the course. A random sample of n=16 freshman is selected and the students are placed in the online course.
provide a numerical answer to each of the following questions and also show the calculations you used to find the
Suppose that in NY State, 35% of voters are Democrats, 30% are Republicans, and 11% are independent. You are conducting a poll by randomly calling registered voters. In your first four calls, what is the probability that you talk to:
A local politician wants an estimate of the proportion of the population who support her fiscal policies. She wants the estimate to be within .06 of the true proportion. Assume a 95 percent level of confidence.
a set of 10 data values has a mean and median of 1425 and ranges from a minimum value of 987 to a maximum value of
Carry out an overall test to determine if there is significant evidence of a difference among A; B and C, at the significance level 1%.
How to calculate expected difference between the samples means, and how does larger variability affect the size of the standard error for the sample mean difference?
Household income does not tend to follow a normal distribution in a particular state, yet average income is approximately $45,000/year in this state, with a standard deviation of about $9000.
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