5:10 l Unit 7 Section 9.2: 2 Sample Hypothesis Test - Paired Mean Assessment Score: 0/10 0/10 answered Progress saved Done < > 47 Question 1 0/1 pt 4 Details You wish to test the following claim (Ha) at a significance level of = 0.05. For the context of this problem, a - d = 2 1 where the first data set represents a pre-test M2 and the second data set represents a post-test. Hod = 0 Had > 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 = 129 subjects. The average difference (post-pre) is a = 8.7 with a standard deviation of the differences of s = 46.9. 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 = AA myopenmath.com 5:10 test statistic = Il 47 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... reject the null accept the null fail to reject the null 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. 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. 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. Submit Question myopenmath.com 5:11 Question 2 < > ill 47 0/1 pt 4 Details Quick note for SPSS users: To get SPSS to run the analysis in the correct "direction" from the Analyze > Compare Means > Paired-Samples T Test... protocol, please enter the after variable first, and the before variable second. (SPSS analyzes using first variable minus second variable.) You wish to test the following claim (H) at a significance level of a = 0.10. 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. Hod = 0 Ha d <0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: post-test pre-test 44.1 40.2 50.4 49.3 50.4 53.2 55.4 54.1 53.3 47.1 56.6 49.1 39.9 29.5 75.7 69.5 51.7 55.9 61.6 55.4 56.3 45.5 56.6 60.6 55.4 67.3 83.9 76.4 49.4 58.4 43 41.5 72.1 73.6 myopenmath.com 5:11 ull 47 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... O less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null accept the null fail to reject the null 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 less than 0. 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. The sample data support the claim that the mean difference of post-test from pre-test is less than 0. There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is less than 0. Submit Question myopenmath.com .... 47 5:11 Unit 7 Section 9.2: 2 Sample Hypothesis Test - Paired Mean Assessment Score: 0/10 0/10 answered Progress saved Question 3 Done o < > 0/1 pt 4 Details You wish to test the following claim (Ha) at a significance level of a = 0.05. For the context of this problem, - d = 2 where the first data set represents a pre-test and the second data set represents a post-test. Ho : d = 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 = 40 subjects. The average difference (post-pre) is a = 9.1 with a standard deviation of the differences of sd 30.4. = 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 AA myopenmath.com 5:11 This test statistic leads to a decision to.. reject the null accept the null fail to reject the null . ull 47 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. Submit Question myopenmath.com ill 47 5:11 Hypothesis Test - Paired Mean Assessment Score: 0/10 0/10 answered Progress saved Done Question 4 o < > 0/1 pt 4 Details You wish to test the following claim (H) at a significance level of a = 0.01. For the context of this problem, - d = 2 where the first data set represents a pre-test and the second data set represents a post-test. Hod = 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 = 25 subjects. The average difference (post-pre) is d with a standard deviation of the differences of sd = 6.8 = 26.3. 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 AA myopenmath.com 5:11 The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null accept the null fail to reject the null l 47 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 not equal to 0. There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0. The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0. There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0. Submit Question AA myopenmath.com 5:11 Il 47 Unit 7 Section 9.2: 2 Sample Hypothesis Test - Paired Mean Assessment Score: 0/10 0/10 answered Progress saved Done Question 5 0/1 pt 4 Details < > You wish to test the following claim (H) at a significance level of a = 0.005. For the context of this problem, d = 2 where the first data set represents a pre-test - M1 and the second data set represents a post-test. Hod = 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 = 17 subjects. The average difference (post-pre) is a = -25.3 with a standard deviation of the differences of s = 35.9. 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 myopenmath.com 5:11 The p-value is less than (or equal to) a greater than a This test statistic leads to a decision to.. reject the null accept the null O fail to reject the null l 47 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 less than 0. 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. The sample data support the claim that the mean difference of post-test from pre-test is less than 0. There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is less than 0. Submit Question myopenmath.com 5:11 l 47 = You wish to test the following claim (H) at a significance level of a = 0.10. For the context of this problem, Md PostTest - PreTest where the first data set. represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your and are so that the differences are computed correctly.) Hod = 0 Ha d 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 53.3 36.4 38.7 -73.4 58.7 -7.3 37 -90.4 40 34.9 39.1 24.7 50.6 -32.3 32.1 -32.1 33.9 -93.5 31.6 10.8 46.4 -19.6 54.5 6.1 27.1 20.6 51 27.7 52.9 147.5 32.5 -5 28.6 -10.2 33 37.8 42.2 67.3 29.9 30.3 35.1 13.1 44.3 26.1 44.3 73.5 myopenmath.com 5:12 l 47 What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.) The p-value is.. less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null accept the null fail to reject the null 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 not equal to 0. There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0. The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0. There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0. Submit Question myopenmath.com 5:12 . ull 47 Unit 7 Section 9.2: 2 Sample Hypothesis Test - Paired Mean Assessment Score: 0/10 0/10 answered Progress saved Done Question 7 0/1 pt 4 Details < > You wish to test the following claim (Ha) at a significance level of a 0.002. For the context of this problem, = d = 2 where the first data set represents a pre-test M2 1 - and the second data set represents a post-test. = Hod 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 = 171 subjects. The average difference (post pre) is a = 6.5 with a standard deviation of the differences of s = 42.8. - 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 = AA myopenmath.com 5:12 . 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... reject the null accept the null fail to reject the null 47 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. Submit Question myopenmath.com 5:12 47 You wish to test the following claim (Ha) at a significance level of a 0.02. For the context of this problem, = = - PostTest PreTest where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your and are so that the differences are computed correctly.) Hod = 0 Ha d #0 : You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: post-test pre-test 38.5 27.8 48.7 34.2 29.7 69.8 25.5 21.2 26.2 -3.7 57.4 77.3 54.4 37.6 46 50.1 51.8 62.7 41.3 30 47.1 58 24.6 13.9 50.5 69 43.8 41.9 45.1 48.3 28.2 17.5 43 41.6 26.9 13 39.7 -0.8 30.2 50.1 31.5 23.1 56.5 30.2 30.6 20.5 47.7 30.9 myopenmath.com 5:12 al 47 What is the test statistic for this sample? test statistic: = (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.) The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null accept the null fail to reject the null 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 not equal to 0. There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0. The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0. There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0. Submit Question myopenmath.com 5:12 47 the after variable first, anu he before variable second. (SPSS analyzes using first variable minus second variable.) You wish to test the following claim (Ha) at a significance level of a = 0.10. For the context of this problem, - d = 2 where the first data set represents a pre-test M2 and the second data set represents a post-test. Hod = 0 Ha d #0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 26 71.7 75.3 53.2 33.9 99.1 57.2 39 54.8 75.6 66.9 76.3 49 -5.4 65.4 101.1 37.2 71.8 31.8 30.4 42.1 73.5 41.7 44 42.1 55.8 54.4 43.1 50.4 33.4 47.2 1.1 37.7 24.2 52.9 6.8 45.1 89.4 61.3 101.7 67.8 68.3 45.8 69.4 20.2 -1.9 69.7 114 30.2 36 myopenmath.com 5:12 Il 47 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... reject the null accept the null fail to reject the null 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 not equal to 0. There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0. The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0. There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0. Submit Question myopenmath.com 5:12 l Unit 7 Section 9.2: 2 Sample Hypothesis Test - Paired Mean Assessment Score: 0/10 0/10 answered Progress saved Done Question 10 0/1 pt 4 Details < > 47 You wish to test the following claim (Ha) at a significance level of a = 0.005. 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. = Hod 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 = 41 subjects. The average difference (post - pre) is d a standard deviation of the differences of sd = 32.1. = 4 with 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 = AA myopenmath.com 5:13 p-value = The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null accept the null fail to reject the null l 47 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. Submit Question myopenmath.com