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AMU MATH 120 Week 6 Confidence Intervals

Master interval estimation for means and proportions

Week 6 Inferential Statistics

Week 6 begins inferential statistics with confidence intervals—using sample data to estimate population parameters. You'll learn to construct confidence intervals for population means (when σ is known or unknown) and population proportions, interpret margin of error, and determine minimum sample sizes needed for desired precision. This week teaches you to quantify uncertainty in estimates, a critical skill for data-driven decision making.

Common Week 6 Pitfalls

Students often confuse z-intervals (σ known) with t-intervals (σ unknown), or forget to check the conditions required for each method. Another mistake is misinterpreting confidence level—95% confidence doesn't mean 95% probability the parameter is in the interval. Our materials include decision trees for choosing z vs t, condition checklists, and clear explanations of what confidence level actually means.

Week 6 Preparation Package

You receive complete MyStatLab Homework 6 solutions, confidence interval formula sheets, t-table reading guides, sample size calculation examples, and preparation materials for Quiz 3 (Week 6 Critique worth 9% of your grade). We provide forum posts connecting confidence intervals to polling, quality control, and business forecasting applications.

Frequently Asked Questions

❓When do I use z-intervals vs t-intervals for means?

Use z-intervals when population standard deviation (σ) is known. Use t-intervals when σ is unknown and you must use sample standard deviation (s). In practice, σ is rarely known, so t-intervals are more common. Also use t-intervals when sample size is small (n < 30) even if σ is known.

❓What does 95% confidence level really mean?

95% confidence means if you repeated the sampling process many times, about 95% of the resulting confidence intervals would contain the true population parameter. It does NOT mean there's a 95% probability the parameter is in your specific interval—the parameter is fixed, the interval is random.

❓How should I prepare for Quiz 3?

Quiz 3 covers Weeks 5-6 (normal distribution and confidence intervals) and is worth 9% of your grade. Focus on z-score calculations, Central Limit Theorem problems, and constructing confidence intervals for means and proportions. Memorize formulas for margin of error and know when to use z vs t. We provide practice quizzes matching the actual format.

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