You wish to test the following claim (Ha) at a significance problem, H = PostTest - PreTest where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your μ₁ and 2 are so that the differences are computed correctly.) Ho: Pd = 0 Ha: Md #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 56.5 44.3 48.6 53.9 44.3 46.3 37.7 45.6 56 43 42.6 61.3 45.8 50.8 50.2 61.3 38.7 52 38.7 77 -1.4 128.3 71.7 44.9 106.4 18 8.1 89 57.4 83.7 102.4 36.1 77.7 29.3 77.4 -7 114.8 85.4

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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You wish to test the following claim (H) at a significance level of a = 0.005. For the context of this
problem, = PostTest - PreTest where the first data set represents a pre-test and the second data set
d
represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when
you enter your data and specify what your u1 and 42 are so that the differences are computed correctly.)
Ho: Pd = 0
Ha: Md 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
56.5
44.3
48.6
53.9
44.3
46.3
37.7
45.6
56
43
42.6
61.3
45.8
50.8
50.2
61.3
38.7
52
38.7
77
-1.4
128.3
71.7
44.9
106.4
18
8.1
89
The p-value is...
57.4
83.7
102.4
36.1
77.7
29.3
77.4
-7
114.8
85.4
What is the test statistic for this sample?
test statistic =
(Report answer accurate to 4 decimal places.)
What is the p-value for this sample?
p-value =
(Report answer accurate to 4 decimal places.)
less than (or equal tó) a
greater than a
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.005. For the context of this problem, = PostTest - PreTest where the first data set represents a pre-test and the second data set d represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your u1 and 42 are so that the differences are computed correctly.) Ho: Pd = 0 Ha: Md 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 56.5 44.3 48.6 53.9 44.3 46.3 37.7 45.6 56 43 42.6 61.3 45.8 50.8 50.2 61.3 38.7 52 38.7 77 -1.4 128.3 71.7 44.9 106.4 18 8.1 89 The p-value is... 57.4 83.7 102.4 36.1 77.7 29.3 77.4 -7 114.8 85.4 What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.) less than (or equal tó) a greater than a
38.7
52
38.7
TOT
-7
The p-value is...
114.8
85.4
What is the test statistic for this sample?
test statistic =
(Report answer accurate to 4 decimal places.)
What is the p-value for this sample?
p-value:
E
(Report answer accurate to 4 decimal places.)
O less than (or equal to) a
Ogreater than a
This test statistic leads to a decision to...
O reject the null
accept the null
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 not equal to 0.
There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test
from pre-test is not equal to 0.
The sample data support the claim that the mean difference of post-test from pre-test is not equal to
0.
There is not sufficient sample evidence to support the claim that the mean difference of post-test from
pre-test is not equal to 0.
Transcribed Image Text:38.7 52 38.7 TOT -7 The p-value is... 114.8 85.4 What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value: E (Report answer accurate to 4 decimal places.) O less than (or equal to) a Ogreater than a This test statistic leads to a decision to... O reject the null accept the null 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 not equal to 0. There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0. The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0. There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0.
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