The following data are from a completely randomized design. Compute the sum of s

Question

The following data are from a completely randomized design.

Compute the sum of squares between treatments.

Compute the mean square between treatments.

Compute the sum of squares due to error.

Compute the mean square due to error (to 1 decimal).

Set up the ANOVA table for this problem. Round all Sum of Squares to nearest whole numbers. Round all Mean Squares to one decimal places. Round F to two decimal places.

At the  = .05 level of significance, test whether the means for the three treatments are equal.

The p-value is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 14

What is your conclusion?
SelectConclude that not all treatment means are equalDo not reject the assumption that the means for all three treatments are equalItem 15

Treatment A B C 163 146 125 142 156 122 166 124 134 145 146 141 149 134 154 189 146 128 Sample mean 159 142 134 Sample variance 310 126.4 142

Explanation / Answer

The statistical software output for this problem is:

ANOVA table

Hence,

Sum of squares between treatment= 1956

Mean square between treatment = 978

Sum of squares within treatment = 2892

Mean square within treatment = 192.8

ANOVA table:

ANOVA table

The p - value is between 0.01 and 0.025.

Conclusion: Not all treatment means are equal. Do not reject the assumption that the means for all three treatments are not equal to 15.

Source DF SS MS F-Stat P-value Columns 2 1956 978 5.0726141 0.0208 Error 15 2892 192.8 Total 17 4848

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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