For questions 50-52, 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.LettersA, B, C, D, andEindicate missing numbers from the SAS output.

50.In SAS Output 1, what is the value of the test statistic (C) for the omnibus null hypothesis H₀?

a.302.77

b.153.58

c.21.67

d.17.40

e.4.65

51.Do dominant and nondominant hands differ significantly in their mean FDT speeds? If so, how?

a.Yes, dominant hands were significantly slower than nondominant hands at all ages.

b.Yes, dominant hands were significantly faster than those nondominant hands at all ages.

c.Yes, dominant hands were significantly slower than nondominant hands at younger ages but faster at older ages.

d.Yes, dominant hands were significantly faster than nondominant hands at younger ages but slower at older ages.

e.No, dominant hands and nondominant hands do not differ significantly in their speed.

52.Consider the estimated model from SAS Output 2, which can be written as:

z= age (in years)

x= (1 if dominant hand, 0 otherwise)

What is the mean FDT speed for 12-year-olds using their dominant hands?

a.0.23

b.0.27

c.0.36

d.0.78

e.1.31

AutoSave . OFF HELP Home Insert Draw Design Layout References Mailings Review View ? Tell me Share Comments Times New... ~ 12 A" A Aa Po EEVEEVEE AaBbCcDdE AaBbCcDdE AaBbCcDc AaBbCcDdE AaBb( AaBbCcDdE AqBbCcDdEe Paste BI Ub X x A LA . Normal No Spacing Heading 1 Heading 2 Title Subtitle Subtle Emph Styles Dictate Pane * Office Update To keep up-to-date with security updates, fixes, and improvements, choose Check for Updates. Check for Updates SAS Output 1 Sum of Source DF Squares Mean Square F Value Pr > F Model A B 1.90029775 C <.0001 error e corrected total r-square coeff var root mse speed mean source df type iii ss square f value pr> F Age 1 3.74614560 3.74614560 302.77 <.0001 dominant standard parameter estimate error : value pr.> It| Intercept 0.2309333571 8 0.02726990 8.47 <.0001 age dominant b least squares means adjustment for multiple comparisons: tukey-kramer ho:lsmean1="LSMean" speed lsmean pr> Itl 0.69828145 <.0001 page of words english states focus e . off help home insert draw design layout references mailings review view tell me share comments times new... a aa po aabbccdde aabbccdc aabb aabbccdde: paste biuvabx x normal no spacing heading title subtitle subtle emph styles dictate pane office update to keep up-to-date with security updates fixes and improvements choose check for updates. pubh biostatistical applications public health spring sas output sum source squares mean square f value pr> F Model A B 1.26693001 C <.0001 error m corrected total r-square coeff var root mse speed mean source df type ill ss square fvalue pr> F Age 1 3.22634279 3.22634279 259.25 <.0001 dominant age standard parameter estimate error t value pr> It| Intercept 0.2264932870 B 0.04482257 5.05 <.0001 age dominant b page of words english states focus e>