Q. 1 Independent random samples of 15 mid-western and 14 southern households provided the following data for household vehicle miles of travel in thousands. Midwest South 16.2 12.9 17.3 22.2 19.2 9.3 14.6 18.6 10.8 24.6 20.2 15.8 11.2 16.6 16.6 18.0 12.2 20.1 24.4 20.3 20.9 16.0 17.5 18.2 9.6 15.1 18.3 22.8 11.5 At the 5% significance level, does there appear to be a difference in the mean for Midwestern and southern households? Note: X, = 16.23 = 4.06 x = 17.69 2 s, = 4.42 and K = .05 so 2°, n,= 15 X;=16.23 s,=4.06 ng= !4 7,= 17. 69 $2= de c42 Sp Step 1: H,:M,=Mq Hai M, #Mz step 2: d = step 3: t= sp df = n,t ngr2 Stef i4 : cnistical Valuue = ( Two-sided test) Step 5: Compare trst statistic to critical value 2o you rejeet Null or Do not veject Null ? Step 6: Write your conelusion below;

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Q. 1 Independent random samples of 15 mid-western and 14 southern households provided
the following data for household vehicle miles of travel in thousands.
Midwest
South
16.2 12.9 17.3
22.2 19.2 9.3
14.6 18.6 10.8
24.6 20.2 15.8
11.2 16.6 16.6
18.0
12.2 20.1
24.4 20.3 20.9
16.0 17.5 18.2
9.6 15.1 18.3
22.8 11.5
At the 5% significance level, does there appear to be a difference in the mean for Midwestern
and southern households?
Note: x, = 16.23
S, = 4.06
= 17.69
2.
= 4.42
and K = .05
X
>°, n,= 15 ,= 16.23 5, =4.06 M2= 14 7,= 17.69 $2=4.42
Sp
(n,-1) s?+(nz-i)s?
Step I- H, :M,=Mq
Hai M, #Mz
step 2:
L =
df = nit ngrZ
Stet 4 : Cristical Valme =
( Two-sided test)
Step 5: Compare test statistic to coitical value
2o you rejeet Null or Do not veject Null ?
Step 6 :
Wmite your conelusion below;
Transcribed Image Text:Q. 1 Independent random samples of 15 mid-western and 14 southern households provided the following data for household vehicle miles of travel in thousands. Midwest South 16.2 12.9 17.3 22.2 19.2 9.3 14.6 18.6 10.8 24.6 20.2 15.8 11.2 16.6 16.6 18.0 12.2 20.1 24.4 20.3 20.9 16.0 17.5 18.2 9.6 15.1 18.3 22.8 11.5 At the 5% significance level, does there appear to be a difference in the mean for Midwestern and southern households? Note: x, = 16.23 S, = 4.06 = 17.69 2. = 4.42 and K = .05 X >°, n,= 15 ,= 16.23 5, =4.06 M2= 14 7,= 17.69 $2=4.42 Sp (n,-1) s?+(nz-i)s? Step I- H, :M,=Mq Hai M, #Mz step 2: L = df = nit ngrZ Stet 4 : Cristical Valme = ( Two-sided test) Step 5: Compare test statistic to coitical value 2o you rejeet Null or Do not veject Null ? Step 6 : Wmite your conelusion below;
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