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. = -
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- You wish to test the following claim (Ha) at a significance level of a = 0.001. t = I1:"H You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample of size n = 20 with a mean of E = 79.7 and a standard deviation of s1 = 11.5 from the first population. You obtain a sample of size nr = 26 with a mean of I2 = 81.7 and a standard deviation of s2 = 10.4 from the second population. a. What is the test statistic for this sample? test statistic = Round to 3 decimal places. b. What is the p-value for this sample? For this calculation, use. p-value = Use Technology, Round to 4 decimal places. c. The p-value is... O less than (or equal to) a O greater than o d. This test statistic leads to a decision to.. O eject 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…You wish to test the following claim (Ha) at a significance level of a=0.02. H0: u=83.9 Ha:u<83.9 You believe the population is normally distributed but you do not know the standard deviation. You obtain a sample of size n=119 with the meanM=79.4 and a standard deviation of SD=12.9. What is the test statistic foe this sample? What is the P value for this sample? The p value is less than or greater than a? This test statistic leads to a decision to: reject the null, accept the null, or fail to reject the null?PLEASE ANSWER THE QUESTION IN THE PHOTO. TY!
- You wish to test the following claim (H.) at a significance level of a = = 0.02. H.: 41 Ha: µ1 – µ2 > 0 You obtain a sample of size ị the first population. You obtain a sample of size n2 of s2 57.2 and a standard deviation of s1 85 with a mean of 2 65 with a mean of x1 17.2 from 54.7 and a standard deviation 7.1 from the second population. You will need to determine whether or not to pool so you will use the correct df. What is the critical value for this test? Report answer accurate to three decimal places. critical value =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>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…You wish to test the following claim (H1) at a significance level of a = 0.02. For the context of this problem, Hd = µ2 -H1 where the first data set represents a pre-test and the second data set represents a post-test. H.:µa = 0 0 > Prt : 'H 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 = - 2.7 with a standard deviation of the differences of sa = 14.2. 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? (Note: If you do not have a Ti-83/84, then please use the Google Sheet function =TDIST(abs(Test Stat),degrees of freedom, tails), where tails is equal to 1 or 2 depending on the test, to report the answer accurate to four decimal places. Use the rounded test statistic value.) p-value = The p-value is... O less than (or…
- You wish to test the following claim (Ha) at a significance level of a Hd = H2 - H1 where the first data set represents a pre-test and the second data set represents a post-test. 0.05. For the context of this problem, %3D Prl :°H Ha:Hd 70 µa = 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 deviation of the differences of sd = 14.4. 12 subjects. The average difference (post - pre) is d = 6.7 with a standard 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 statisticYou wish to test the following claim (H.) at a significance level of a = 0.001. For the context of this problem, Ha = 42 - 4i where the first data set represents a pre-test and the second data set represents a post-test. H.: Hd = 0 Ha: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 for n = 40 subjects. The average difference (post - pre) is d = 2.8 with a standard deviation of the differences of sa = 19.9. 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... O less than (or equal to) a O greater than a This test statistic 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…You wish to test the following claim (Ha) at a significance level of a = 0.05. H.: H Ha:µ < 57.8 57.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 33.2 51.8 25 25 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
- You wish to test the following claim (H) at a significance level of a = 0.05. Ho: p= 84.3 Ha : μ > 84.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 118 with mean M = 86.2 and a standard deviation of SD = 9.6. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 2.15 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 Ogreater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null F As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 84.3. O There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 84.3. O The sample data support the claim that the population…You wish to test the following claim (H) at a significance level of a = 0.05. Ho: = 59.1 Ha:μ > 59.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 70 with mean M = 62.7 and a standard deviation of SD = 18.8. 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 = 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 population mean is greater than 59.1. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 59.1. The sample data support the claim that the population mean is greater than…You wish to test the following claim (Ha) at a significance level of a = 0.01. For the context of this problem, µa = u2 – Hi where the first data set represents a pre-test and the second data set represents a post-test. 0 + Prl :®H 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 = 4 subjects. The average difference (post - pre) is d = - 14.8 with a standard deviation of the differences of sa = 49.2. 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 = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null 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…