You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd>0Ha:μd>0
You believe the population of difference scores is
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) αα
- greater than αα
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.
- 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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- You wish to test the following claim (HaHa) at a significance level of α=0.02 For the context of this problem, μd=μ2−μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0 Ha:μd>0You 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=5 subjects. The average difference (post - pre) is ¯d=47.2 with a standard deviation of the differences of sd=36.4What 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) αα greater than αα 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…arrow_forwardYou wish to test the following claim (Ha) at a significance level of α=0.10. For the context of this problem, μd=μ2−μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0 Ha:μd≠0You 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=−2.6 with a standard deviation of the differences of sd=16.4.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) αα greater than αα 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…arrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.10. For the context of this problem, μd=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 μ1 and μ2 are so that the differences are computed correctly.) Ho:μd=0 Ha:μd≠0You 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 40.3 49.4 35 50.8 36.7 46.1 51.6 62.6 41.7 32.7 42.9 40.7 40.7 42.3 41.9 45.4 32.5 41.9 38.1 44.4 38.8 44.2 27.7 10.8 43.6 29.5 44.7 70.8 46 43 42.2 51.6 47.5 66.7 35.8 37.4 44.4 53.5 38.8 40.4 What is the test statistic for this sample?test statistic = (Report answer accurate to 4 decimal places.)What is the p-value for this…arrow_forward
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- You wish to test the following claim (HaHa) at a significance level of α=0.002. For the context of this problem, μd=μ2−μ1where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0 Ha:μd>0You 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=40subjects. The average difference (post - pre) is ¯d=2 with a standard deviation of the differences of sd=18.5.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) αα greater than αα 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…arrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.05. For the context of this problem, μd=μ2−μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0 Ha:μd<0You 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=254 subjects. The average difference (post - pre) is ¯d=−2.4 with a standard deviation of the differences of sd=14.6What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = Can you please explain how I would solve this free hand and in a TI-83 calculator please.arrow_forwardYou wish to test the following claim (H) at a significance level of a = 0.1. H.:µ = 80.4 Haiu < 80.4 You believe the population is normally distributed, but you do not know the population standard deviation You obtain a sample of sizen = 18 with a mean of M = 61.1 and a standard deviation of SD = 20.5. What is the critical value for this test? critical value = %3D Find the critical value from the ztable (https://ma336.qccmathcs.com/ztable.html) or the ttable(https://ma336.qccmathcs.com/ztable.html) What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = %3D The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null O fail to reject the nullarrow_forward
- You wish to test the following claim (Ha) at a significance level of α=0.10. For the context of this problem, μd=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 μ1 and μ2 are so that the differences are computed correctly.) Ho:μd=0 Ha:μd≠0You 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 48.9 -7.1 47.8 114.8 38.6 -23.8 43.6 10.8 56.7 42.6 30.7 14.1 37.6 44 68.1 5.7 45.5 -27 48.1 86.7 38.1 -15.9 35.9 -2.8 56.4 17.7 43.3 -29.2 27.4 70 59.7 22.5 52.8 11 75.6 83.4 64.7 24.4 69.3 33.6 45.2 87.8 What is the test statistic for this sample?test statistic = (Report answer accurate to 4 decimal places.)What is the p-value…arrow_forwardYou wish to test the following claim (Ha) at a significance level of α=0.01. For the context of this problem, μd=PostTest−PreTestμd=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 μ1 and μ2 are so that the differences are computed correctly.) Ho:μd=0 Ha:μd≠0You 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 41 21.1 26 17.7 56.4 72.5 55 30.3 37.6 37.7 49.8 71.1 30.2 48 23.6 26 49.4 48.4 33.5 25.7 37.6 57.4 44.7 51.2 43.3 63.1 45.4 42 41 40.4 38.8 30.5 39.8 15.1 32 51.1 33.5 16.8 26.8 31.8 45.4 36 41.4 64.3 53.2 46.3 What is the test statistic for this sample?test statistic = (Report answer accurate to 4 decimal…arrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.01. For the context of this problem, μd=μ2−μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0 Ha:μd<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=267 subjects. The average difference (post - pre) is ¯d=−2.6 with a standard deviation of the differences of sd=14.5 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) αα greater than αα 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…arrow_forward
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