Consider the hypothesis test H0: σ1 = σ2 against H1: σ^21 ≠ σ^22 with known variances...
Consider the hypothesis test H0: σ1 = σ2 against H1: σ^21 ≠ σ^22 with known variances s1 ^2= 2.3 and s^2 2 = 1.9. Suppose that sample sizes n1 = 15 and n2 = 15. Use α = 0.05.
a. Parameter of Interest
b. Null and Hypothesis
c. test statistic
d. reject Ho if
e. computation
f. conclusion
Homework Answers
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Consider the hypothesis test H0: σ1 = σ2 against H1: σ^21 ≠ σ^22
with known variances...
Consider the hypothesis test H0:μ1=μ2 against H1:μ1<μ2 with known variances σ1=10 and σ2=5. Suppose that sample...
Consider the hypothesis test H0:μ1=μ2 against H1:μ1<μ2 with
known variances σ1=10 and σ2=5. Suppose that sample sizes n1=10 and
n2=15 and that x¯1=14.2 and x¯2=19.7. Use α=0.05.
Font Paragraph Styles Chapter 10 Section 1 Additional Problem 1 Consider the hypothesis test Ho : = 12 against HI : <H2 with known variances = 10 and 2 = 5. Suppose that sample sizes nj = 10 and 12 = 15 and that I = 14.2 and 72 = 19.7. Use a...
Consider the hypothesis test H0: μ1 = μ2 against H1: μ1 > μ2 with known variances...
Consider the hypothesis test H0: μ1 = μ2 against H1: μ1 > μ2 with known variances σ1=10 and σ2=5. Suppose that sample sizes n1=10 and n2=15 and that x-bar1 = 24.5 and x-bar2 = 21.3. Use alpha = .01. Determine the confidence interval. a) =0 b) ≥2.78 c) ≥3.04 d) ≥-4.74
1. Consider the hypothesis test Ho: u1=p2 against H1: u 17 M2. Suppose that sample sizes...
1. Consider the hypothesis test Ho: u1=p2 against H1: u 17 M2. Suppose that sample sizes are n1 = 13, n2 = 10 x1=4.7, x2 =6.8, s1= 2 and s2 =2.5. Assume that the data are randomly drawn from two independent Normal distributions (a) Confirm that it is reasonable to assume 01 2 = 022 by completing the steps i. through v. below. Use a = 0.05. HO: 01 2 = 02 20:01 2 * 022 i. Test Statistic ii....
10-65. Consider the hypothesis test H0: σ_1^2=σ_2^2 against H1: σ_1^2<σ_2^2. Suppose that the sample sizes are...
10-65. Consider the hypothesis test H0: σ_1^2=σ_2^2 against H1: σ_1^2<σ_2^2. Suppose that the sample sizes are n1 = 6 and n2 = 13, and that s_1^2=23.8 and s_2^2=27.8. Use α = 0.05. Test the hypothesis and explain how the test could be conducted with a confidence interval on σ_1^2/σ_2^2.
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 80 n2 = 70 x1 = 104 x2 = 106 σ1 = 8.4 σ2 = 7.2 (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.)...
Consider the test of H0 : σ2-5 against H1 : σ2 < 5. Approximate the P-value...
Consider the test of H0 : σ2-5 against H1 : σ2 < 5. Approximate the P-value for the following test statistic. 215.2 and n 12 0.01 < P-value < 0.05 0.25< P-value 0.75 0.5< P-value < 0.9 0.1 < p-value < 0.5 O 0.05<P-value< 0.09
Consider the test of H0:σ2=10 against H1:σ2>10. What is the critical value for the test statistic...
Consider the test of H0:σ2=10 against H1:σ2>10. What is the critical value for the test statistic X02 for the significance level α=0.005 and sample size n=20? Give your answer with two decimal places (e.g. 98.76).
Consider the hypothesis test Ho: Mi = U2 against HL : M1 <H2 with known variances...
Consider the hypothesis test Ho: Mi = U2 against HL : M1 <H2 with known variances a = 9 and 62 = 5. Suppose that sample sizes nj = 9 and n2 = 15 and that I = 14.3 and 12 = 19.5. Use a = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) if H1 is 4 units less than 2? (c) Assuming equal sample sizes, what...
Consider the following hypothesis test. (a) What is your conclusion if n 21, s,2 - 4.2,...
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 test of H0:σ^2=7 against H1:σ^2>7. What is the critical value for the test statistic...
Consider the test of H0:σ^2=7 against H1:σ^2>7. What is the critical value for the test statistic X02 for the significance level α=0.05 and sample size n=19? Give your answer with two decimal places (e.g. 98.76). Enter your answer in accordance to the question statement Thank you!
Consider the hypothesis test H0:μ1=μ2 against H1:μ1<μ2 with
known variances σ1=10 and σ2=5. Suppose that sample sizes n1=10 and
n2=15 and that x¯1=14.2 and x¯2=19.7. Use α=0.05.
Font Paragraph Styles Chapter 10 Section 1 Additional Problem 1 Consider the hypothesis test Ho : = 12 against HI : <H2 with known variances = 10 and 2 = 5. Suppose that sample sizes nj = 10 and 12 = 15 and that I = 14.2 and 72 = 19.7. Use a...
1. Consider the hypothesis test Ho: u1=p2 against H1: u 17 M2. Suppose that sample sizes are n1 = 13, n2 = 10 x1=4.7, x2 =6.8, s1= 2 and s2 =2.5. Assume that the data are randomly drawn from two independent Normal distributions (a) Confirm that it is reasonable to assume 01 2 = 022 by completing the steps i. through v. below. Use a = 0.05. HO: 01 2 = 02 20:01 2 * 022 i. Test Statistic ii....
Consider the test of H0 : σ2-5 against H1 : σ2 < 5. Approximate the P-value for the following test statistic. 215.2 and n 12 0.01 < P-value < 0.05 0.25< P-value 0.75 0.5< P-value < 0.9 0.1 < p-value < 0.5 O 0.05<P-value< 0.09
Consider the hypothesis test Ho: Mi = U2 against HL : M1 <H2 with known variances a = 9 and 62 = 5. Suppose that sample sizes nj = 9 and n2 = 15 and that I = 14.3 and 12 = 19.5. Use a = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) if H1 is 4 units less than 2? (c) Assuming equal sample sizes, what...
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...
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