Stat303: Statistical MethodsHomework 06 (due 07/25/2009)Instructor: Anh DaoHint for Homework 06The number used in this hind can be changed by your homework set.4. Confidence Interval for a Population Mean, Sample Size(a) Confidence Interval¯x ± Zα/2s√n= 10.0038 ± Zα/2.0004√5(b) Sample SizeZα/2s√n= 0.0001 ⇒ n =Zα/2· s0.00012⇒ n =Zα/2· 0.00040.000126. Statistical Significance and Tests for a Population Meanp-Value < α ⇒ Reject H0, p-Value > α ⇒ Fail to reject H0.The P-ValueIf HA: µ 6= µ0, then p − V alue = 2 · 0.035 > 0.05If HA: µ > µ0, then p − V alue = 0.035 < 0.057. Statistical Significance and Tests for a Population MeanFor HA: µ > µ0, p-Value = P (Z > −2.62)For HA: µ < µ0, p-Value = P (Z < −2.62)For HA: µ 6= µ0, p-Value = P (Z > |2.62|)13. Statistical Significance and Tests for a Population MeanTest Statistic:Z =¯X − µ0σ/√n=11.07 − 8.792.6/√5p-Value:p − V alue = P (Z > z)16. Statistical Significance and Tests for a Population MeanTest Statistic:Z =¯X − µ0σ/√n=0.419 − 0.50.2887/√100p-Value:p − V alue = 2P (Z > |z|)12 Homework 0617. Confidence Interval:¯X ±
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