Consider the following hypothesis test.
H0: σ12 = σ22
Ha: σ12 ≠ σ22
a) what is your conclusion if n1=21 s1^2=2.2 ,n2=26 s2^2=1.0? use α = 0.05 and the p-value approach.
find the p-value (round your answer to four decimal places)
b) repeat the test during the critical value approach
State the critical values for the rejection rule. (Round your answers to two decimal places. If you are only using one tail, enter NONE for the unused tail.)
test statistic ≤
test statistic ≥
Consider the following hypothesis test. H0: σ12 = σ22 Ha: σ12 ≠ σ22 a) what is...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: σ12 = σ22 Ha: σ12 ≠ σ22 (a) What is your conclusion if n1 = 21, s12 = 2.2, n2 = 26, and s22 = 1.0? Use α = 0.05 and the p-value approach. Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. We cannot conclude that...
Consider the following hypothesis test. (a) What is your conclusion if n1-21, s12-82, n,-26, and s2 4.0? Use α 0.05 and the ρ-value approach Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value- State your conclusion. Reject Ho, we cannot conclude that σ12 # σ22 Do not reject Ho, we cannot conclude that σ1z # σ2 O Reject H , we can conclude that σ. # σ 0 D Do not...
Consider the following hypothesis test. H0: μ ≤ 50 Ha: μ > 50 A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use α = 0.05. (Round your answers to two decimal places.) (a)x = 52.5 Find the value of the test statistic. State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the...
Consider the following hypothesis test. (a) What is your conclusion if n 21, s,2 - 4.2, n2 26, and s22 2.0? Use a 0.05 and the p-value approach Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value- State your conclusion Reject H0. We cannot conclude that σ,<p σ2 Do not reject Ho. We cannot conclude that σ14 σ 2 o Reject H , we can conclude that σ. σ Do not...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.28. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. p-value > 0.2000.100 < p-value < 0.200 0.050 < p-value < 0.1000.025 < p-value < 0.0500.010 < p-value < 0.025p-value <...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are from independent samples taken from two populations assuming the variances are unequal. Sample 1 Sample 2 n1 = 35 n2 = 40 x1 = 13.6 x2 = 10.1 s1 = 5.3 s2 = 8.3 What is the value of the test statistic? (Use x1 − x2 .(Round your answer to three decimal places.) ________________. What is the degrees of...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n1 = 35 n2 = 40 x1 = 13.6 x2 = 10.1 s1 = 5.9 s2 = 8.5 (a) What is the value of the test statistic? (Use x1 − x2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t...
Consider the following hypothesis test: H0: μ = 15 Ha: μ ≠ 15 A sample of 50 provided a sample mean of 14.17. The population standard deviation is 4. a. Compute the value of the test statistic (to 2 decimals). b. What is the p-value (to 4 decimals)? c. Using α = .05, can it be concluded that the population mean is not equal to 15? Answer the next three questions using the critical value approach. d. Using α =...
Consider the following hypothesis test. H0: p = 0.45 Ha: p ≠ 0.45 A sample of 200 provided a sample proportion p = 0.443. (a) Compute the value of the test statistic. (b) What is the p-value? (c) At α = 0.05, what is your conclusion? (d) What is the rejection rule using the critical value? What is your conclusion?
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) _______ (b) Use the t distribution table to compute a range for the p-value. a) p-value > 0.200 b) 0.100 < p-value < 0.200 c) 0.050 < p-value < 0.100 d) 0.025 <...