*5 - Sugar e. Cannot be determined from the given information For questions 47-53, refer to the following study and the accompanying SAS output: Dexterity, as a measure of hand function, is an important component of a thorough hand evaluation. This is especially true in children, for whom the relationship between the commonly measured parameters of range of motion, sensation, and strength may not reflect actual functional ability. Gogola et al. (2013) conducted a study to document normative values from the Functional Dexterity Test (FTD) for typically developing children and to optimize test administration and interpretation. The FDT is a timed pegboard test consisting of 16 thick cylindrical pegs arranged in 4 rows of 4 pegs each. Patients turn over all pegs in a specified order by manipulating each peg in their hand. A total of 174 typically developing children aged 3 to 17 years participated in the study. Children completed the 16-peg FDT with either their dominant (n=105) or nondominant (n=69) hand, and elapsed time was recorded in seconds. Data were analyzed as 16/time, interpreted as FDT speed (pegs per second). Using a 0.05 significance level and the given computer output, you need to test the claim that the mean FDT speeds for dominant (1) and nondominant (0) hands differ significantly after adjusting for age (in years) by answering the questions that follow. These data were analyzed using two different models. Results from the analysis are provided below labeled SAS Output 1 and SAS Output 2. To answer some of the questions that follow, you need to fill in some critical pieces of information that have been deleted. PubH 6002: Biostatistical Applications for Public Health Model 1.90029775 F Age 1 3.74614560 3.74614560 302.77 It| Intercept 0.2309333571 B 0.02726990 8.47 It| 0.69828145 <.0001 in sas output what is the value of test statistic for omnibus null hypothesis ho a. e. do dominant and nondominant hands differ significantly their mean fdt speeds if so how yes were slower than at all ages b. faster those ages. c. younger but older d. no not speed>