From the SAS output, interpret the 95% confidence interval for the true average difference in dental measurements in th

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The following data are on the dental measurements (distance in mm from the center of the pituitary to the pterygomaxillary fissure of 11 girls and 16 boys, all of whom were 16 years of age.

a) From the SAS output, interpret the 95% confidence interval for the true average difference in dental measurements in the population of 16-year-old boy and 16-year-old girls (assume the population variances are equal).

 

The SAS System
The TTEST Procedure
Variable: x
Std Dev Std Err Minimum Maximum
2.4273 0.7676 19.5000
28.0000
31.5000
2.0854 0.5214 25.0000
2.2198 0.8948
Mean 95% CL Mean
23.8500 22.1136 25.5864
27.4688 26.3575 28.5800
Std Dev 95% CL Std Dev
2.4273 1.6696 4.4313
2.0854 1.5405 3.2276
-3.6187 -5.4656 -1.7719 2.2198 1.7333 3.0881
-3.6187 -5.5760 -1.6615
DF t Value Pr > ltl
Method
Variances
Pooled
Equal
Satterthwaite Unequal 17.043 -3.90 0.0011
24 -4.04 0.0005
Equality of Variances
Method Num DF Den DF F Value Pr > F
Folded F
9
15
1.35 0.5795
gender
Female
Male
Diff (1-2)
gender
Method
Female
Male
Diff (1-2) Pooled
Diff (1-2) Satterthwaite
N Mean
10 23.8500
16 27.4688
-3.6187
Transcribed Image Text:The SAS System The TTEST Procedure Variable: x Std Dev Std Err Minimum Maximum 2.4273 0.7676 19.5000 28.0000 31.5000 2.0854 0.5214 25.0000 2.2198 0.8948 Mean 95% CL Mean 23.8500 22.1136 25.5864 27.4688 26.3575 28.5800 Std Dev 95% CL Std Dev 2.4273 1.6696 4.4313 2.0854 1.5405 3.2276 -3.6187 -5.4656 -1.7719 2.2198 1.7333 3.0881 -3.6187 -5.5760 -1.6615 DF t Value Pr > ltl Method Variances Pooled Equal Satterthwaite Unequal 17.043 -3.90 0.0011 24 -4.04 0.0005 Equality of Variances Method Num DF Den DF F Value Pr > F Folded F 9 15 1.35 0.5795 gender Female Male Diff (1-2) gender Method Female Male Diff (1-2) Pooled Diff (1-2) Satterthwaite N Mean 10 23.8500 16 27.4688 -3.6187
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