A random sample of size 12 is taken from a population, and for each individual in...
A random sample of size 12 is taken from a population, and for each individual in the sample measurements on two variables (X and Y) are obtained. The sample correlation of X and Y is calculated to be r2=0.549081. Carry out a hypothesis test on H0:ρ=0against HA:ρ≠0. If the null hypothesis is true, then the test statistic will follow a t distribution with what degrees of freedom? Number Calculate the value of the test statistic t using the appropriate formula. Round your response to at least 3 decimal places. (remember, you were given r2, not r) Number Calculate the P-value for this 2-tailed test using the tcdf command. Round your answer to 4 decimal places. Number Are the results significant at the α=.05 significance level? yes no
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A random sample of size 12 is taken from a population, and for
each individual in...
A random sample of n = 12 individuals is selected from a population with µ =...
A random sample of n = 12 individuals is selected from a population with µ = 70, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M = 74.5 with SS = 297. Use the Distributions tool to help answer the questions that follow. t Distribution Degrees of Freedom = 21 -3.0-2.0-1.00.01.02.03.0x.5000.50000.000 QUESTION: How much difference is there between the mean for the treated sample and the mean for...
A random sample of n = 10 observations from a normal population produced x = 47.8...
A random sample of n = 10 observations from a normal population produced x = 47.8 and s2 = 4.3. Test the hypothesis H0: μ = 48 against Ha: μ ≠ 48 at the 5% level of significance. State the test statistic. (Round your answer to three decimal places.) t = State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t > t <
V. Hypothesis test and confidence intervals. 1. A sample (n) is taken at random from a...
V. Hypothesis test and confidence intervals. 1. A sample (n) is taken at random from a population and produces (the sample) A = 1100, S = 200. Try the following hypothesis: If we assume the following size of sample n = 36 a, Is there evidence that the average μx is less than 1200? α = .10 H0: μx = 1200 H1: μx <1200 * For the previous test (item a) estimate the p-value * Determine the power of the...
A sample of size 100, taken from a population whose standard deviation is known to be...
A sample of size 100, taken from a population whose standard deviation is known to be 8.90, has a sample mean of 51.16. Suppose that we have adopted the null hypothesis that the actual population mean is greater than or equal to 52, that is, H0 is that μ ≥ 52 and we want to test the alternative hypothesis, H1, that μ < 52, with level of significance α = 0.05. a) What type of test would be appropriate in...
A sample of 44 observations is selected from one population with a population standard deviation of 3.1. The sample mean...
A sample of 44 observations is selected from one population with a population standard deviation of 3.1. The sample mean is 101.0. A sample of 56 observations is selected from a second population with a population standard deviation of 5.0. The sample mean is 99.5. Conduct the following test of hypothesis using the 0.10 significance level. H0 : μ1 = μ2 H1 : μ1 ≠ μ2 Is this a one-tailed or a two-tailed test? One-tailed test Two-tailed test State the...
A sample of 35 observations is selected from a normal population. The sample mean is 29,...
A sample of 35 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 2. Conduct the following test of hypothesis using the 0.02 significance level. H0: ? ? 28 H1: ? >28 1. a. Is this a one- or two-tailed test? Two-tailed test One-tailed test 2. b. What is the decision rule? Reject H0 when z ? 2.054 Reject H0 when z > 2.054 3. c. What is the value of...
A sample of 37 observations is selected from a normal population. The sample mean is 29,...
A sample of 37 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level. H0 : μ ≤ 26 H1 : μ > 26 a. Is this a one- or two-tailed test? "One-tailed"-the alternate hypothesis is greater than direction. "Two-tailed"-the alternate hypothesis is different from direction. b. What is the decision rule? (Round your answer to 3 decimal places.)...
A sample of 44 observations is selected from one population with a population standard deviation of...
A sample of 44 observations is selected from one population with a population standard deviation of 3.9. The sample mean is 102.0. A sample of 46 observations is selected from a second population with a population standard deviation of 5.6. The sample mean is 100.3. Conduct the following test of hypothesis using the 0.10 significance level. H0 : μ1 = μ2 H1 : μ1 ≠ μ2 Is this a one-tailed or a two-tailed test? One-tailed test Two-tailed test State the...
A sample of 37 observations is selected from a normal population. The sample mean is 21,...
A sample of 37 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.02 significance level. H0: μ ≤ 20 H1: μ > 20 Is this a one- or two-tailed test? One-tailed test Two-tailed test What is the decision rule? Reject H0 when z > 2.054 Reject H0 when z ≤ 2.054 What is the value of the test statistic? (Round your...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample...
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