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1) When is the correlational research method appropriate? Describe an example of an actual research study from a credible source or the news that illustrates the use of the correlational method.
(2) Why did the researchers use this method?
(3) What are the limitations to the correlational method in terms of the conclusions that can be made?
(4) What is a positive correlation? Negative? Zero? What does the number itself signify? Give several examples from the article you selected to illustrate your point.
(5) How can a non-linear relationship among two variables influence the correlation coefficient? For example, ability to pay attention and the level of stimulation in the environment do not demonstrate a linear relationship. At some point, too much stimulation will limit the ability to focus and pay attention. What would happen to the size and the sign of the correlation coefficient if we correlated these two variables? How can researchers work around this issue?
(6) What about floor and ceiling effects? How can these issues preclude a significant correlation coefficient from being discovered?
Find the probability density function of U + V. Let P = 2U + 3V and Q = 2U - 3V. Given that the variances of U and V are 1/4 and 1/9 respectively, show that P and Q are uncorrelated.
A store manager wishes to find out whether there is a relationship between the age of her employees and the number of sick days they take each year. The data for the sample are shown below:
Mean caffeine content of 146 milligrams and a standard deviation of 22 milligrams. At α = .10, do you have enough evidence to reject the shop's claim?
Martin Motors has in stock three cars of the same make and model. The president would like to compare the gas consumption of the three cars (labeled car A, car B, and car C) using four different types of gasoline.
Why are samples studied when we want to know about populations? Why are random samples used instead of just any sample? How would you determine an appropriate sample size?
Using your own experience, estimate the probability the local weather forecast is correct. Explain the rationale behind your estimate.
If the oven gets hotter than 475 degrees F, the core is defective. What is the probability that the oven will cause a core to be defective?
Assume Nick doesn't know how his received he suppose that all three states of nature are equally likely to occur. If Nick uses the equally likely criterion illustrate what decision would he make.
This result prompts a test administrator to claim that standard deviation for eighth graders on examination is less than 29.At a = 0.10, is there sufficient evidence to support administrator's claim?
What is the maximum water producing capacity that the station should keep on line for this hour so that the demand will have a probability of only 0.01 of exceeding this production capacity?
The sample correlation coefficient between x and y is 0.375. It has been found out that the p-value is 0.256 when testing H0: ρ = 0 against the two-sided alternative H1: ρ ≠ 0. To test H0: ρ = 0 against the one-sided alternative H1: ρ > 0 at a sig..
People in a large population average 60 inches tall. You will take a random sample and will be given a dollar for each person in your sample who is over 65 inches tall. Does the law of average relate to the answer you give?
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