A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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You wish to test the following claim (H.) at a significance level of a = 0.10. For the context of this
problem, µa = 12 – 41 where the first data set represents a pre-test and the second data set represents
a post-test.
H.: Hd = 0
Ha: Pa > 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 = 49 subjects. The average difference (post -
pre) is d = 16 with a standard deviation of the differences of sa = 46.7.
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
O greater than a
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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Transcribed Image Text:You wish to test the following claim (H.) at a significance level of a = 0.10. For the context of this problem, µa = 12 – 41 where the first data set represents a pre-test and the second data set represents a post-test. H.: Hd = 0 Ha: Pa > 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 = 49 subjects. The average difference (post - pre) is d = 16 with a standard deviation of the differences of sa = 46.7. 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 O greater than a 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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