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.GirlsBoys23.031.025.526.526.027.526.527.023.526.022.528.525.026.524.025.521.526.019.531.528.025.0 28.0 29.5 26.0 30.0 25.0A. From the output, what is the standard error for the average difference in dental measurements in the population of 16 year old boy and 16 year old girls (assume the population variances are equal) B. From the output, interpret the 95% confidence interval for the true average difference in dental measurements The SAS SystemThe TTEST ProcedureVariable: xN Mean10 23.850016 27.4688Std Dev Std Err Minimum Maximum2.4273 0.7676 19.5000 28.00002.0854 0.5214 25.0000 31.5000-3.6187 2.2198 0.8948genderMethodFemaleMean 95% CL Mean23.8500 22.1136 25.586427.4688 26.3575 28.5800-3.6187 -5.4656 -1.7719MaleDiff (1-2) PooledDiff (1-2) Satterthwaite -3.6187 -5.5760 -1.6615DF t Value Pr > |t|MethodPooledVariancesEqualSatterthwaite Unequal 17.04324 -4.04 0.0005-3.90 0.0011Equality of VariancesMethod Num DF Den DF F Value Pr > FFolded F9151.35 0.5795genderFemaleMaleDiff (1-2)Std Dev 95% CL Std Dev2.4273 1.6696 4.43132.0854 1.5405 3.22762.2198 1.7333 3.0881

The given data denotes the dental measurements for boys and girls.

re of 11 girls and 16 boys, all of whom were 16 years of age. Girls Boys 23.0 31.0 25.5 26.5 26.0 27.5 26.5 27.0 23.5 26.0 22.5 28.5 25.0 26.5 24.0 25.5 21.5 26.0 19.5 31.5 28.0 25.0 28.0 29.5 26.0 30.0 25.0

re of 11 girls and 16 boys, all of whom were 16 years of age. Girls Boys 23.0 31.0 25.5 26.5 26.0 27.5 26.5 27.0 23.5 26.0 22.5 28.5 25.0 26.5 24.0 25.5 21.5 26.0 19.5 31.5 28.0 25.0 28.0 29.5 26.0 30.0 25.0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

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.

Girls	Boys
23.0	31.0
25.5	26.5
26.0	27.5
26.5	27.0
23.5	26.0
22.5	28.5
25.0	26.5
24.0	25.5
21.5	26.0
19.5	31.5
28.0	25.0
	28.0
	29.5
	26.0
	30.0
	25.0

A. From the output, what is the standard error for the average difference in dental measurements in the population of 16 year old boy and 16 year old girls (assume the population variances are equal)

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

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

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