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The variable the school board is most interested in understanding/explaining is the change in schoolwide standardized test scores. You were also given variables that indicated the curriculum type and the income of the households of students from each school. If this were a real research project, what other data would you collect to use as control variables? Why? In other words, what other variables might you collect that you might plausibly expect to have an impact on the change in test scores aside from income and the curriculum type? Give at least 4 examples and in each case explain why you would include them.
A shipment of 150 television sets contains three defective units. If a vending company buys three of the units in the shipment, what is the probability that at least one of the units is defective?
At the end of 24 weeks of treatment, subjects were classified as responders or non-responders to treatment based on a battery of psychological tests.
Let X bar be the average of n such independent measurements. Use Chebychev's inequality to estimate how large n should be such that P(|X bar - M |
Discuss the strengths and weaknesses of correlational and regression studies; discuss concepts such as positive and negative correlations, correlation coefficients, confounding, and causality.
Determine whether the sampling method is independent or dependent for the following example. A researcher wants to know whether the newly issued "state" quarters have a mean weight that is different from "traditional" quarters.
A sample of 350 hats is selected and the sample mean is 3.25 pounds. Using a level of significance of .10, is there evidence that the population mean weight of the hats is greater than 3.5 pounds? Fully explain your answer.
What is the difference between dependent and independent samples? Discuss differences is statistical treatment, statistical power, and data management.
Solve by completing the square: Solve using the square root property:
Test whether there is a statistical difference between the two proportions at the 5% significance level.
A marketing survey involves product recognition in New York and California. Of 600 New Yorkers surveyed, 195 knew the product while 150 out of 614 Californians knew the product.
Based on anthropological reports in which the status of women is scored on a 10-point scale, the mean and standard deviation across many cultures are known. A new culture is found in which there is an unusual family arrangement.
Metal stamping machine is producing 10 defective parts per hour. Determine the probability that three or fewer defective parts will be output in a randomly chosen hour, by using the Poisson distribution?
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