Ask Your Teacher My Notes 4-6 points suppose that you theorize that the average

Question

Ask Your Teacher My Notes 4-6 points suppose that you theorize that the average ages of white oaks, Quercus alba, in the following three locations. Site 1 Lower peninsula, MI, MI, Lake Superior and Bay (are not same) To test this theory, you take 3 simple random samples of 35 trees from each site, and record the ages of each White oak in each sample. Hisegam of Age sogamor Age Site 20 HItogram Age site Box Plot of Comparison of Age Site 3 888 88 88 8 L Site 2 o-o Normal Plot Agersite Normal Plot of Agetsite 20 Site 1 06 48 -18 26 -26 NOVA S Total Sample Size 107 84 and Mean 45.44 ooled Std Dev ooled Variance Number of Samples dence Level ANOVA Sample Stats Site 1 Site 2 Site 3 ample size 101 80 10297 11874 Sample Mean Sample Stel Dev 1845.06 Sample Variance 03333 03333 03333 ooling Weight Sum of Degrees of Mean F-Ratio P-value ay ANOVA Table Squares Freedom Within Variation 210589 26 102 2064 60

Explanation / Answer

A.a) null hypothesis H0: µ1= µ2= µ3

Alternate Hypothesis Ha : at least 2 of the means differ

A.b) Independence, Equal Standard Deviations, X is normally distributed for each group

A.c) the p-value for ANOVA test 0.2241

A.d) alpha=0.05

p-value from table=0.2241

clearly, p-value>alpha

hence, we fail to reject or accept the null hypothesis

there is insufficient evidence at alpha=0.05 to conclude that the mean age differs between at least 2 sites

A.e) Yes, because we failed to reject the null

A.f) mean A=200

mean B=300

mean C=200

clearly the mean age is not same in all 3 cases, but we failed to reject the null hypothesis

hence this is an example of type 2 error (retaining a false null hypothesis)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.