(3) Directions: Solve the following problems and answer the following questions. [COMMENTS & HINTS: Use technology to your advantage. Record your responses according to the coded cells in the organizer and the additional questions. Be precise; do not enter any insignificant or extraneous digits: enter 2 not 2.0 if the answer is two. Please round off precisely if and when necessary and as requested.] Apply the techniques of **two-way ANOVA** to a data sample split into **eight treatments** with total degrees of freedom, \( df = 47 \), testing at the 2.5% level of significance. The Sum of Squares for Treatments is 42; the Mean Square for Blocks is 9, and the Mean Square for Error is 3.### Table Explanation| | SS | df | MS | F test stats ||---|---|---|---|---|| **Treatments** | #1 | #5 | #9 | #12 || **Blocks** | #2 | #6 | #10 | #13 || **Error** | #3 | #7 | #11 | XXXXXXX || **Total** | #4 | #8 | XXXXXXX | XXXXXXX |- **SS (Sum of Squares):** This is used to measure the variability in the data.- **df (degrees of freedom):** Indicates the number of independent values or quantities which can be assigned to a statistical distribution.- **MS (Mean Square):** Calculated by dividing the sum of squares (SS) by the corresponding degrees of freedom (df).- **F test stats:** Used to determine if the variability between group means is greater than within-group variability, indicating a significant effect.### Question**#21:** What is the number of blocks?Record your response to item #21 here. [Textbox for student response]

Solution: Given information: t= 8 treatments Total degree of freedom = DFT = 47 To find the number of block b The degree of freedom associated with total is DFT = tb-1= 47 tb= 47+1= 48 tb =48 b=48tb=488b= 6 The number of block is 6. The value of #21 is 6.