1. The table below gives process times for two different systems running a series of computation tasks. A system administrator wishes to utilize a t-test with 95% confidence to assess whether or not the two systems perform differently. Test A Test B Test C Test D Test E System Alpha 45 92 21 33 74 System Beta 56 86 24 42 80 Are these samples independent, dependent, or paired? C a.independent | b.dependent c. paired in the remaining values in the difference table: Test A Test B Test C Test D Test E a-Alpha ference 11 3 9. What is the average difference? 7 2.

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1. The table below gives process times for two different systems running a
series of computation tasks. A system administrator wishes to utilize a t-test
with 95% confidence to assess whether or not the two systems perform
differently.
Test A
Test B
Test C
Test D
Test E
System Alpha
45
92
21
33
74
System Beta
56
86
24
42
80
2. Are these samples independent, dependent, or paired?
C a.independent
O b.dependent
c. paired
Fill in the remaining values in the difference table:
Test A
Test B
Test C
Test D
Test E
Beta-Alpha
Difference
11
3
9.
6.
What is the average difference?
7
Transcribed Image Text:1. The table below gives process times for two different systems running a series of computation tasks. A system administrator wishes to utilize a t-test with 95% confidence to assess whether or not the two systems perform differently. Test A Test B Test C Test D Test E System Alpha 45 92 21 33 74 System Beta 56 86 24 42 80 2. Are these samples independent, dependent, or paired? C a.independent O b.dependent c. paired Fill in the remaining values in the difference table: Test A Test B Test C Test D Test E Beta-Alpha Difference 11 3 9. 6. What is the average difference? 7
What is the t-statistic value for this test?
-0.015
One-Sample Statistics
Std. Error
N
Mean
Std. Deviation
Mean
VARO0001
5
53.0000
29.36835
13.13393
VARO0002
5
57.6000
25.89981
11.58275
53 - 57.6
-4.6
= -0.015
862.6
670.81
+
306.68
What is the standard deviation of the difference?
3.08
One-Sample Statistics
Std. Error
Mean
Std. Deviation
Mean
VAR00003
5
7.0000
3.08221
1.37840
What are the bounds of the 95% confidence interval for difference with
3.17
10.83
values to the nearest tenth:
sd<.
3.08
Df =4= 4, .05 = 2.78. 2.78( = 3.83. 7- 3.83 = 3.17 7 + 3.83 = 10.83
%3D
%3D
V5
If testing the null hypothesis d=0 at 95% confidence, what is the resulting
conclusion?
a. fail to reject null hypothesis
O b.reject null hypothesis
Transcribed Image Text:What is the t-statistic value for this test? -0.015 One-Sample Statistics Std. Error N Mean Std. Deviation Mean VARO0001 5 53.0000 29.36835 13.13393 VARO0002 5 57.6000 25.89981 11.58275 53 - 57.6 -4.6 = -0.015 862.6 670.81 + 306.68 What is the standard deviation of the difference? 3.08 One-Sample Statistics Std. Error Mean Std. Deviation Mean VAR00003 5 7.0000 3.08221 1.37840 What are the bounds of the 95% confidence interval for difference with 3.17 10.83 values to the nearest tenth: sd<. 3.08 Df =4= 4, .05 = 2.78. 2.78( = 3.83. 7- 3.83 = 3.17 7 + 3.83 = 10.83 %3D %3D V5 If testing the null hypothesis d=0 at 95% confidence, what is the resulting conclusion? a. fail to reject null hypothesis O b.reject null hypothesis
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