Find the length of the unknown side in the right triangle. Leave your answer in simplest radical form. A. B. C. D.  

2. How many independents variable are in 4 x 6 factorial design? How many conditions (cells) are in this design?4. What is the differences between a cell ( Condition) mean ad the means used to interpret a main effect? 6. What is the differences between a complete factorial design and a incomplete factorial design? 8. Explain the difference between a two- story ANOVA and a three-way ANOVA. 10. Complete each of the following ANOVA summary tables. In addition answer the following question for each of the ANOVA summary tables?   a.  What is the factorial notation?  b. How many condition were in the study ?  c. How many subjects were in the study?  d.  Identify significant main effects and Source   df  SS  MS  FA             1  60  B             2  40  A x B       2  90Error        30Total        35  390Source   df  SS  MS  FA            2  40  B            3  60A x B      6  150Error      72Total       83  400Source  df  SS  MS  FA            1  10B            1  60A x B      1  20Error      36Total       39  150A researcher is attempting to determine the effects of a practice and gender on a timed task. Participants in an experiment are given an computerized search task. They search a computer screen of various characters and attempt to find a particular character, they press a button to stop a timer. Their reaction time in seconds on each trial is recorded. Subjects practice for 2, 4, or 6 hours and are either female or male. The reaction time data for the 30 subjects appear here.              Women    Men2 Hours    12    11                  13    12                   12    13                   11    12                     11    11  4 Hours        10  8                       10  8                     8  10                     7  96 Hours        7  5                       5  6                     7  8                     6  6                     7  8Source    df                 SS          MS      FGender                      .027Practice                   140.60Gender x Practice       .073Error                          28.00Total                         168.70a. Complete the ANOVA summary table. b. Are the values of  Fobt significant at a=.05c. What conclusion can be drawn from the F-rationsd. What is the effect size and what does this meane. graph the meansExplain the difference between multiple independent variables and multiple levels of independent variables. Which is better?What is blocking and how does it reduce “noise”? What is a disadvantage of blocking?What is a factor? How can the use of factors benefit a design?Explain main effects and interaction effects.How does a covariate reduce noise?Describe and explain three trade-offs present in experiments.Support your paper with a minimum of 5 resources. In addition to these specified resources, other appropriate scholarly resources, including older articles, may be included.Length: 5-7 pages not including title and reference pagesReferences: Minimum of 5 scholarly resources.Your paper should demonstrate thoughtful consideration of the ideas and concepts that are presented in the course and provide new thoughts and insights relating directly to this topic. Your paper should reflect scholarly writing and current APA standards.