You wish to test the following claim (H) at a significance level of a = 0.001. 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: a > 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 = 22 subjects. The average difference (post-pre) is d = 1 with a standard deviation of the differences of sa = 8.2. 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 Ogreater than a

You wish to test the following claim (Ha) at a significance level of a = 0.10. Ho: μ = 64.2 Ha: μ < 64.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 12 with mean M = 45.9 and a standard deviation of SD = 17.1. 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 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 less than 64.2. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 64.2. O The sample data support the claim that the population mean is less than…

Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%.  Colby was in his most recent class, and his class’s mean score on the final exam was 82%.  Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population.  α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?

Suppose you are interested in testing whether average monthly gasoline expenditure differs from $50 at the 5% significance level. You take a sample of 30 and calculate a sample mean of 51 and sample standard deviation of 12.  Given this information the null and alternative hypotheses are as follows: H0: μ=50 H1: μ≠50 What is the p-value for this test?   (Round to four decimal places. )

Using an a = 0.05 significance level, what was the evidence for your answer to the previous question? O Because the p-value of the t-test for Experience is greater than 0.05, the analyst should not reject Ho: B₁ 0 so HA B10 is unsupported. This means that there is NO statistically significant relationship between Sales and Experience. = Because the p-value of the t-test for the Intercept is less than or equal to 0.05, the analyst should reject Ho: Bo 0 and accept HA Bo 0. This means that there is a statistically significant relationship between Sales and Experience. - O Because the p-value of the t-test for Experience is less than or equal to 0.05, the analyst should reject Ho: B1 = 0 and accept HA B1 0. This means that there is a statistically significant relationship between Sales and Experience. : O Because the p-value of the t-test for Experience is less than or equal to 0.05, the analyst should reject Ho: B1 = 0 and accept HA B1 0. This means that there is NO statistically…

You 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 (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 (Ha) at a significance level of a = 0.02. For the context of this problem, d 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 x1 and x2 are so that the differences are computed correctly.) H.: Hd Ha: Hd + 0 %3| 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 50.8 42.8 57.6 46.5 59.5 52.9 62.4 49.2 57.5 55.8 52.3 54.3 62.2 49.7 58.5 56.7 61.1 60.3 60.8 54.5 65.1 64 62.9 59 55.9 49.3 60.9 51.1 64.4 62.9 50.8 41.3 59 56.4 56.1 49 66 54 60.1 52.9 62.1 59.9 55.6 46.8 56.5 53 60.3 55 55 48.4 What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.)

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…

You wish to test the following claim (Ha) at a significance level of α=0.002      Ho:μ=81.8      Ha:μ<81.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=22n=22 with mean M=76.5M=76.5 and a standard deviation of SD=14.6SD=14.6.What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = IncorrectWhat is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = CorrectThe 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 population mean is less than 81.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 81.8. The sample data support the claim…