Use the given statistics to complete parts (a) and (b). Assume that thepopulations are normally distributed.(a) Test whether μ₁ > μ₂ at the α = 0.01 level of significance for the given sampledata.(b) Construct a 99% confidence interval about μ₁ −μ₂.(a) Identify the null and alternative hypotheses for this test.A. Ho: M₁ µ₂.There is not sufficient suidenan at the ~-004 level of significance to conclude that ..

Followings are the Explanation of the question Use the Two sample independent t test Given that,…

Answered: Use the given statistics to complete…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Physical properties of six flame-retardant fabric samples were investigated in an article. Use the accompanying data and a 0.05 significance level to determine whether a linear relationship exists between stiffness x (mg-cm) and thickness y (mm). State the appropriate null and alternative hypotheses. O Ho: P = 0 H₂: P 0 O Ho: P #O H₂: p=0 O Ho: P = 0 H₁₂ :P #0 8.07 24.69 12.33 6.85 24.22 35.69 y 0.29 0.65 0.31 0.27 0.80 0.57 Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places. r= Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. O Fail to reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Fail to reject Ho. The data indicates that the…
The data in NutritionStudy include information on nutrition and health habits of a sample of 315 people. One of the variables is VitaminUse, indicating whether a person takes a multivitamin pill regularly or occasionally or not at all. Use technology to test whether the data provide evidence that the proportion taking a vitamin pill regularly is different from 35 % given. Clearly state the null and alternative hypotheses. : : 42 : Pi : P2 :: 0.35 : 2 :: P1 : p2 :: :: r Ho: vs Hg: ::
Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether μµ₁ > µ₂ at the α = 0.10 level of significance for the given sample data. (b) Construct a 90% confidence interval about μ₁-12- (a) Identify the null and alternative hypotheses for this test. OA. Ho H₁ H₂ H₁: H₁ H₂ OD. Ho: H1 H₂ H₁: H₁ H₂ OB. Ho: H₁ H₂ H₁: H₁ = H₂ O E. Ho: H1 H₂ H₁: H₁ H₂ OC. Ho H₁ H₂ H₁: H₁ = H₂ OF. Ho: H₁ H₂ H₁: H₁ = H₂ n X S Population 1 Population 2 15 20 48.8 46.3 7.3 11.5
Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether µ, > µ2 at the a = 0.05 level of significance for the given sample data. Population 1 Population 2 15 n 29 (b) Construct a 90% confidence interval about u, - H2. 49.7 46.5 5.8 13.5 (a) Identify the null and alternative hypotheses for this test. O C. Ho: H1 # H2 H1: H1 =H2 A. Ho: H1 = H2 B. Ho: H1 > H2 H1: H1 # H2 H1: H1=H2 O D. Ho: H1 = H2 H1: H1> H2 O E. Ho: H1 µ2. O B. Do not reject Ho. There is not sufficient evidence at the a = 0.05 level of significance to conclude that µ, >µ2. O C. Reject Ho. There is sufficient evidence at the a = 0.05 level of significance to conclude that u, > µ,. O D. Do not reject Ho. There is sufficient evidence at the a = 0.05 level of significance to conclude that u, > µ2. (b) The 90% confidence interval about u, - H2 is the range from a lower bound of to an upper bound of (Round to three decimal places as needed.)
Physical properties of six flame-retardant fabric samples were investigated in an article. Use the accompanying data and a 0.05 significance level to determine whether a linear relationship exists between stiffness x (mg-cm) and thickness y (mm). O Ho: P = 0 H₂: P = 0 O Ho: P = 0 H₂:p>0 State the appropriate null and alternative hypotheses. O Ho: P = 0 Ha: P < 0 O Ho: P = 0 Ha: P = 0 X y r = 7.95 24.63 12.39 7.06 24.17 35.70 0.25 0.64 0.32 0.27 0.80 0.56 Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. O Fail to reject Ho. The data does not indicate that the population correlation coefficient differs from 0. O Reject Ho. The data indicates that the population correlation coefficient differs from 0. O Reject Ho. The data does not…
Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether μ₁ > μ₂ at the α = 0.01 level of significance for the given sample data. (b) Construct a 99% confidence interval about μ₁ - H₂. Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) State the conclusion for this hypothesis test. n (b) The 99% confidence interval about μ₁ −µ₂ is the range from a lower bound of (Round to three decimal places as needed.) X S Population 1 20 48.2 4.1 Population 2 23 45.4 12.7 A. Do not reject Ho. There is sufficient evidence at the x = 0.01 level of significance to conclude that μ₁ > μ₂. B. Reject Ho. There is sufficient evidence at the α = 0.01 level of significance to conclude that μ₁ > μ₂. C. Do not reject Hỏ. There is not sufficient evidence at the x = 0.01 level of significance to conclude that µ₁ >…
Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether mu 1μ1greater than>mu 2μ2 at the alphaα=0.01 level of significance for the given sample data. (b) Construct a 99% confidence interval about mu 1μ1minus−mu 2μ2. Population 1 Population 2 n 24 25 x overbarx 50.8 45.9 s 4.3 11.4 (a) Identify the null and alternative hypotheses for this test. A. H0: mu 1μ1greater than>mu 2μ2 H1: mu 1μ1equals=mu 2μ2 B. H0: mu 1μ1equals=mu 2μ2 H1: mu 1μ1less than<mu 2μ2 C. H0: mu 1μ1less than<mu 2μ2 H1: mu 1μ1equals=mu 2μ2 D. H0: mu 1μ1not≠mu 2μ2 Upper H 1H1: mu 1μ1equals=mu 2μ2 E. H0: mu 1μ1=mu 2μ2 H1: mu 1μ1greater than>mu 2μ2 F. H0: mu 1μ1equals=mu 2μ2 H1: mu 1μ1not equals≠mu 2μ2 Find the test statistic for this hypothesis test. 2.01 (Round to two decimal places as needed.)…
Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether mu 1μ1greater than>mu 2μ2 at the alphaαequals=0.05 level of significance for the given sample data. (b) Construct a 90% confidence interval about mu 1μ1minus−mu 2μ2. Population 1 Population 2 n 26 21 x overbarx 47.2 40.5 s 4.6 11.8 (a) Identify the null and alternative hypotheses for this test. A. Upper H 0H0: mu 1μ1less than<mu 2μ2 Upper H 1H1: mu 1μ1equals=mu 2μ2 B. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H 1H1: mu 1μ1not equals≠mu 2μ2 C. Upper H 0H0: mu 1μ1not equals≠mu 2μ2 Upper H 1H1: mu 1μ1equals=mu 2μ2 D. Upper H 0H0: mu 1μ1greater than>mu 2μ2 Upper H 1H1: mu 1μ1equals=mu 2μ2 E. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H 1H1: mu 1μ1greater than>mu 2μ2 Your answer is correct. F. Upper H 0H0: mu 1μ1equals=mu 2μ2…
A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, µ, of the population from which the sample was drawn. Use the critical- value approach. Sample mean = 7.5 S = 1.8 n = 18 a = 0.01 %3D Họ: µ = 10 H1: µ <10 1. The test statistics is (Round to three decimal places) 2. The critical value(s) is/are (If there are two critical values separate each with a comma.) 3. The decision is to the null hypothesis. (Enter R if you reject and enter Fif you fail to reject)
Two random samples taken from two normal populations yielded the following information: Sample Sample size Sample variance si = 15 s = 42 1 n1 = 8 n2 = 20 i. Find the test statistic F ii. Find the degrees of freedom dfl and df2. Perform the test the hypotheses H,: of = ož vs. H,: of # ož at the 5% level of significance. iii.
Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether mu 1μ1greater than>mu 2μ2 at the alphaαequals=0.01 level of significance for the given sample data. (b) Construct a 99% confidence interval about mu 1μ1minus−mu 2μ2. Population 1 Population 2 n 24 25 x overbarx 50.8 45.9 s 4.3 11.4 (a) Identify the null and alternative hypotheses for this test. A. H0: mu 1μ1greater than>mu 2μ2 H1: mu 1μ1equals=mu 2μ2 B. H0: mu 1μ1equals=mu 2μ2 H1: mu 1μ1less than<mu 2μ2 C. H0: mu 1μ1less than<mu 2μ2 H1: mu 1μ1equals=mu 2μ2 D. H0: mu 1μ1not equals≠mu 2μ2 H1: mu 1μ1equals=mu 2μ2 E. H0: mu 1μ1equals=mu 2μ2 H1: mu 1μ1greater than>mu 2μ2 F. H0: mu 1μ1equals=mu 2μ2 H1: mu 1μ1not equals≠mu 2μ2 Find the test statistic for this hypothesis test. (Round to two decimal places as…
Which of the following would probably NOT be a potential “cure” for non-normal residuals? Select one: a. Transforming two explanatory variables into a ratio. b. Removing large negative residuals. c. Removing large positive residuals. d. Using a procedure for estimation and inference which did not assume normality.

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