You wish to test the following claim (H) at a significance level of a = 0.002. For the context of this problem, d = ₂-₁ where the first data set represents a pre-test and the second data set represents a post-test. Ho: Pd=0 H₂:d>0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 42.5 42.5 41.5 31.9 40.4 33.4 37.8 36.2 45.7 37.5 52.1 36.2 38 46.5 41.5 49.3 44.3 42.9 43.1 40.9 44 47.5 84.7 56.2 66.2 54.2 88.1 43.1 70.7 62.5 93.4 16.8 85 57.7 65.1 138 68.6 53.1 21.8 51 76 68.8 62.4 53.9 What is the test statistic for this sample? test statistic =-4897.30 x 4.6975 (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value = .99997899 × 0.0001 (Report answer accurate to 4 decimal places.)
You wish to test the following claim (H) at a significance level of a = 0.002. For the context of this problem, d = ₂-₁ where the first data set represents a pre-test and the second data set represents a post-test. Ho: Pd=0 H₂:d>0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 42.5 42.5 41.5 31.9 40.4 33.4 37.8 36.2 45.7 37.5 52.1 36.2 38 46.5 41.5 49.3 44.3 42.9 43.1 40.9 44 47.5 84.7 56.2 66.2 54.2 88.1 43.1 70.7 62.5 93.4 16.8 85 57.7 65.1 138 68.6 53.1 21.8 51 76 68.8 62.4 53.9 What is the test statistic for this sample? test statistic =-4897.30 x 4.6975 (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value = .99997899 × 0.0001 (Report answer accurate to 4 decimal places.)
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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Homework: Matched or Paired Samples
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd>0Ha:μd>0
You believe the population of difference scores is
| pre-test | post-test |
|---|---|
| 42.5 | 84.7 |
| 42.5 | 56.2 |
| 41.5 | 66.2 |
| 31.9 | 54.2 |
| 40.4 | 88.1 |
| 33.4 | 43.1 |
| 37.8 | 70.7 |
| 36.2 | 62.5 |
| 45.7 | 93.4 |
| 37.5 | 16.8 |
| 52.1 | 85 |
| 36.2 | 57.7 |
| 38 | 65.1 |
| 46.5 | 138 |
| 41.5 | 68.6 |
| 49.3 | 53.1 |
| 44.3 | 21.8 |
| 42.9 | 51 |
| 43.1 | 76 |
| 40.9 | 68.8 |
| 44 | 62.4 |
| 47.5 | 53.9 |
What is the test statistic for this sample?
test statistic = Incorrect4.6975 (Report answer accurate to 4 decimal places.)
What is the p-value for this sample?
p-value = Incorrect0.0001 (Report answer accurate to 4 decimal places.)
The p-value is...
- less than (or equal to) αα
- greater than αα
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
As such, the conclusion is that...
- There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0.
- There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0.
- The sample data support the claim that the mean difference of post-test from pre-test is greater than 0.
- There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is greater than 0.
PLEASE INCLUDE CALCULATOR STEPS ON TI 84
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.002. For the context of this
problem, d = 2-μ₁ where the first data set represents a pre-test and the second data set represents
a post-test.
Ho: Pd=0
Ha: pd>0
You believe the population of difference scores is normally distributed, but you do not know the standard
deviation. You obtain the following sample of data:
post-test
pre-test
42.5
42.5
41.5
31.9
40.4
33.4
37.8
36.2
45.7
37.5
52.1
36.2
38
46.5
41.5
49.3
44.3
42.9
43.1
40.9
44
47.5
84.7
56.2
66.2
54.2
88.1
The p-value is...
43.1
70.7
62.5
93.4
16.8
85
57.7
65.1
138
68.6
53.1
21.8
51
76
What is the test statistic for this sample?
test statistic = -4897.39 X
68.8
62.4
53.9
What is the p-value for this sample?
p-value = .99997899 X 0.0001 (Report answer accurate to 4 decimal places.)
less than (or equal to) a
O greater than a
✓
Submit Question
4.6975 (Report answer accurate to 4 decimal places.)
This test statistic leads to a decision to...
Ⓒreject the null
O accept the null
O fail to reject the null
As such, the final conclusion is that...
There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test
from pre-test is greater than 0.
There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-
test from pre-test is greater than 0.
The sample data support the claim that the mean difference of post-test from pre-test is greater
than 0.
There is not sufficient sample evidence to support the claim that the mean difference of post-test
from pre-test is greater than 0.
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