You wish to test the following claim (Ha) at a significance level of a = 0.02. 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: d = 0 Ha: Ma > 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 298 subjects. The average difference (post- pre) is d= 0.6 with a standard deviation of the differences of sa = 6.3. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0. O 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. O 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.

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 = 0.02. 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:|d = 0
Ha: Md > 0
You believe the population of difference scores is normally distributed, but you do not know the standard
deviation. You obtain pre-test and post-test samples for n = 298 subjects. The average difference (post-
pre) is d = 0.6 with a standard deviation of the differences of sa
6.3.
What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
The test statistic is...
V
O in the critical region
O not in the critical region
This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test
from pre-test is greater than 0.
O 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.
O The sample data support the claim that the mean difference of post-test from pre-test is greater
than 0.
O There is not sufficient sample evidence to support the claim that the mean difference of post-test
from pre-test is greater than 0.
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.02. 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:|d = 0 Ha: Md > 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 298 subjects. The average difference (post- pre) is d = 0.6 with a standard deviation of the differences of sa 6.3. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... V O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0. O 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. O The sample data support the claim that the mean difference of post-test from pre-test is greater than 0. O 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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