Question description

Random sampling importance

Hello, I need these questions answered with a reference for each one. Please no plagiarism. I appreciate it. thank you.

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1. Explain the importance of random sampling. What problems/limitations could prevent a truly random sampling and how can they be prevented?

2. Explain when a z-test would be appropriate over a t-test.

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3. Researchers routinely choose an alpha level of 0.05 for testing their hypotheses. What are some experiments for which you might want a lower alpha level (e.g., 0.01)? What are some situations in which you might accept a higher level (e.g., 0.1)?

4. How would you explain the analysis of variance, assuming that your audience has not had a statistics class before?

5. What is an interaction? Describe an example and identify the variables within your population (work, social, academic, etc.) for which you might expect interactions?

6. Describe the error in the conclusion. Given: There is a linear correlation between the number of cigarettes smoked and the pulse rate. As the number of cigarettes increases the pulse rate increases. Conclusion: Cigarettes cause the pulse rate to increase

7. Now that you are familiar with the basic concepts of statistics, what are some examples of when you have seen or heard statistics used inappropriately?