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The following enthymemes were originally submitted in letters to the editors of various magazines and newspapers. Convert them into valid standard-form syllogisms. In some cases two syllogisms may be required.
College students of today are the higher-income taxpayers of tomorrow. Congress should consider financial aid as an investment in the financial future of our country.
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?
Construct a 95% confidence interval estimate for the population proportion of adults who report that e-mails are easy to misinterpret.
35 people that spend on average less than 62 minutes per day on facebook? Assume this is normally distributed. Find the chances of each to decide which is more likely, and by how much.
A box contains four 40-W bulbs, five 6-W bulbs and six 70-W bulbs, if three bulbs are selected without replacement randomly. What is the probabilty that three are 70-W bulbs?
How does the sample size influence the extent to which the sample data can be used to accurately estimate population parameters?
A multiple linear regression has been performed using four independent random variables, X1, X2, X3 and X4. The regression output is:
List as many sources of archival data as you can.- What four kinds of research questions are particularly suited for the use of archival data?
Find a 95% confidence interval estimate of the average salary for all chemists at the Dull Chemical Company. Assume that chemists' salaries are normally distributed.
Simple random sample of 100 elements is taken: (a) What is the chance of an element being included in the sample? (b) What is this chance called (hint: not probability)?
Generalize the above result to show that if {fi; i ∈ I} is a family of convex functions and supi ∈ I fi(x) ∞ for every x then supi∈I fi is also a convex function.
What are the implications to a business if the forecast is too high - show a graph of the historical and forecasted sales in one graph
Discovering that 12 will return to summer school. Construct a 90% confidence interval estimate for the fraction of current spring students who will return to summer school.
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