a. What is the test statistic for this sample? Round to 4 decimal places. test statistic b. What is the p-value for this sample? Round to 4 decimal places. p-value - c. The p-value is... O less than (or equal to) a O greater than a d. This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null e. 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 less 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 less than 0. O The sample data support the claim that the mean difference of post-test from pre-test is less than 0. O There is not sufficient sample evidence to support the claim that the mean difference of post- test from pre-test is less than 0.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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You wish to test the following claim (Ha) about the difference of means for two matched samples at a
significance level of a = 0.002. For the context of this problem, one data set represents a pre-test and
the other data set represents a post-test.
H.: H4 = 0
H.: Ha < 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 forn = 48 subjects. The average difference (post -
pre) is d = - 6.1 with a standard deviation of the differences of sa = 38.6.
a. What is the test statistic for this sample?
test statistic =
Round to 4 decimal places.
b. What is the p-value for this sample? Round to 4 decimal places.
p-value =
c. The p-value is...
O less than (or equal to) a
O greater than a
d. This test statistic leads to a decision to...
Oreject the null
O accept the null
O fail to reject the null
e. 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 less 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 less than 0.
O The sample data support the claim that the mean difference of post-test from pre-test is less
than 0.
O There is not sufficient sample evidence to support the claim that the mean difference of post-
test from pre-test is less than 0.
Transcribed Image Text:You wish to test the following claim (Ha) about the difference of means for two matched samples at a significance level of a = 0.002. For the context of this problem, one data set represents a pre-test and the other data set represents a post-test. H.: H4 = 0 H.: Ha < 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 forn = 48 subjects. The average difference (post - pre) is d = - 6.1 with a standard deviation of the differences of sa = 38.6. a. What is the test statistic for this sample? test statistic = Round to 4 decimal places. b. What is the p-value for this sample? Round to 4 decimal places. p-value = c. The p-value is... O less than (or equal to) a O greater than a d. This test statistic leads to a decision to... Oreject the null O accept the null O fail to reject the null e. 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 less 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 less than 0. O The sample data support the claim that the mean difference of post-test from pre-test is less than 0. O There is not sufficient sample evidence to support the claim that the mean difference of post- test from pre-test is less than 0.
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