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You wish to test the following claim (H) at a significance level of a = 0.05. For the context of this problem, a = 2-1 where the first data set represents a pre-test and the second data set represents a post-test. Ho: μd = 0 Ha: d < 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 = 301 subjects. The average difference (post-pre) is d 2.4 with a standard deviation of the differences of sa = 22.7. = -

You wish to test the following claim (H) at a significance level of a = 0.05. For the context of this problem, a = 2-1 where the first data set represents a pre-test and the second data set represents a post-test. Ho: μd = 0 Ha: d < 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 = 301 subjects. The average difference (post-pre) is d 2.4 with a standard deviation of the differences of sa = 22.7. = -

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 (H) at a significance level of a = 0.05. 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: Pd = 0 Ha: d < 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 = 301 subjects. The average difference (post-pre) is d = 2.4 with a standard deviation of the differences of sa = 22.7. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = L What is the P-value for this test? (Report answer accurate to four decimal places.) P-value = The P-value is... O less than (or equal to) a O greater than a This P-value leads to a decision to... O reject the null O accept the null O fail to reject the null
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.05. 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: Pd = 0 Ha: d < 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 = 301 subjects. The average difference (post-pre) is d = 2.4 with a standard deviation of the differences of sa = 22.7. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = L What is the P-value for this test? (Report answer accurate to four decimal places.) P-value = The P-value is... O less than (or equal to) a O greater than a This P-value 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 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: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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