Lesson1 - Review Basic Terminologies • Population and...

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Unformatted text preview: Review Basic Terminologies • Population and Sample • Parameter and Statistic • Discrete and Continuous Random Variables • Quantitative and Qualitative variables • Means and Proportions Review Ctd… Graphical Techniques • Histograms • Bar charts • Scatter plots Distributions • Normal Review Ctd… Statistical Tables • Normal, t, F • Sampling Distributions • Central Limit Theorem Review Ctd… Confidence Intervals • for Population Mean, μ σ known x ± zα / 2 σ n σ unknown x ± tα / 2 s n • for Population Proportion, P p ± zα / 2 p (1 − p ) n Review Ctd… Type I and Type II Errors Type Population Condition Conclusion Accept H0 (Conclude µ < 12) Reject H0 (Conclude µ > 12) H0 True (µ < 12) Correct Decision Type I Error H0 False (µ > 12) Type II Error Correct Decision Review Ctd… • Hypothesis Testing Steps of Hypothesis Testing Step 1. Develop the null and alternative hypotheses. Step 2. Specify the level of significance α. Step 3. Collect the sample data and compute the test statistic. p­Value Approach Step 4. Use the value of the test statistic to compute the p­value. Step 5. Reject H0 if p­value < α . Review Ctd… Critical Value Approach Step 4. Use the level of significance to determine the to determine the critical value and the rejection rule. Step 5. Use the value of the test statistic and the rejection rule to determine whether to reject H0. Review Ctd… • ANOVA Table Hypotheses H0: µ 1 = µ 2 = µ 3 = . . . . . . = µ k Ha: Not all population means are equal Source of Variation Treatment Error Total Sum of Squares SSTR SSE SST Degrees of Freedom k – 1 nT – k nT ­ 1 Mean Squares MSTR MSE F MSTR/MSE ...
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