You wish to test the following claim (Ha) at a significance level of α=0.002. 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
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) α
- greater than α
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
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- You wish to test the following claim (Ha) 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=15 subjects. The average difference (post - pre) is d¯=9.3 with a standard deviation of the differences of sd=17.2What 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 =arrow_forwardYou wish to test the following claim (HaHa) 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 the following sample of data: pre-test post-test 47 77.1 52.5 52.7 54.8 80.6 47.4 50.6 49.8 79.1 45.9 55.4 56.2 30.7 57.2 66.3 45.3 46.5 48 56.6 54.1 88 57.9 67.4 53 83.1 54.3 45.8 58.7 87.2 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 = Please help!arrow_forwardYou 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_forward
- You 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=0.002. 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_forward
- You wish to test the following claim (H1) at a significance level of α=0.02 Ho:μ=80.6 H1:μ≠80.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Data 111.9 120.6 109.1 What is the test statistic for this sample? You may round the sample mean and standard deviation to three decimal places when computing the test statistic. (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 =arrow_forwardYou wish to test the following claim (Ha) 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>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-test74.9 107.677.2 80.370.1 62.784.3 64.468.1 97.436.9 42.6 What 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 = The test statistic is...in the critical regionnot in the critical region This test statistic leads to a decision to...reject the nullaccept the nullfail to reject the null As such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that…arrow_forwardYou wish to test the following claim (Ha) at a significance level of α=0.10 Ho:μ=73.8 Ha:μ<73.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=5 with a mean M=64.5 and a standard deviation of SD=10.9 What is the test statistic for this sample? (Report answers accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =arrow_forward
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