You wish to test the following claim (Hat a significance level of a 0.02. For the context of this problem, Hd H2 - 1 where the first data set represents a pre-test and the second data set represents a post-test. Ho: Hd0 0 Pr:H 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 6 subjects. The average difference (post - pre) is d 17.2 with a standard deviation of the differences of sd 32.5. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... Oreject the null accept the null fail to reject the nul 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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You wish to test the following claim (Hat a significance level of a 0.02. For the context of this
problem, Hd H2 - 1 where the first data set represents a pre-test and the second data set
represents a post-test.
Ho: Hd0
0 Pr:H
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 6 subjects. The average
difference (post - pre) is d 17.2 with a standard deviation of the differences of sd 32.5.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value
The p-value is...
less than (or equal to) a
greater than a
This test statistic leads to a decision to...
Oreject the null
accept the null
fail to reject the nul
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.
Transcribed Image Text:You wish to test the following claim (Hat a significance level of a 0.02. For the context of this problem, Hd H2 - 1 where the first data set represents a pre-test and the second data set represents a post-test. Ho: Hd0 0 Pr:H 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 6 subjects. The average difference (post - pre) is d 17.2 with a standard deviation of the differences of sd 32.5. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... Oreject the null accept the null fail to reject the nul 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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