Assume that both 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.(a) Test whether μ₁ μ₂ at the α = 0.01 level of significance for the given sample data.Determine the null and alternative hypothesis for this test.OA. Holl #U2H₁ H1 H2OB. Ho H₁ H₂H₁:1₁ > H₂O C. Ho H₁ = μ¹2H₁ H₁ > H₂O D. Ho H₁ H2H₁ H1 H₂nXSPopulation 1 Population 2181819.223.45.34.3 To illustrate the effects of driving under the influence (DUI) of alcohol, a police officer brought a DUI simulator to a local high school. Student reaction time in an emergency was measured withunimpaired vision and also while wearing a pair of special goggles to simulate the effects of alcohol on vision. For a random sample of nine teenagers, the time (in seconds) required to bring the vehicleto a stop from a speed of 60 miles per hour was recorded. Complete parts (a) and (b).Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.Click the icon to view the data table.(a) Whether the student had unimpaired vision or wore goggles first was randomly selected. Why is this a good idea in designing the experiment?O A. This is a good idea in designing the experiment because the sample size is not large enough.B. This is a good idea in designing the experiment because it controls for any "learning" that may occur in using the simulator.C. This is a good idea in designing the experiment because reaction times are different.(b) Use a 95% confidence interval to test if there is a difference in braking time with impaired vision and normal vision where the differences are computed as "impaired minus normal."The lower bound isThe upper bound is(Round to the nearest thousandth as needed.)

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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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Assume that both populations are normally distributed. (a) Test whether µ, + µ, at the a = 0.01 level of significance for the given sample data. Population 1 Population 2 n 11 11 (b) Construct a 99% confidence interval about µ, - H2. 18.8 26.7 S 3.8 5.3 (a) Test whether µ, # µ2 at the a = 0.01 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. A. Ho:H1 = H2 B. Ho:H1 = H2 H1:H1> H2 Ho:H1 # H2 H1:H1 = H2 D. Ho:H1 # H2 Detemine the P-value for this hypothesis test. P= (Round to three decimal places as needed.)
Assume that both populations are normally distributed. (a) Test whether u, # µ, at the a = 0.05 level of significance for the given sample data. Population 1 Population 2 16 16 (b) Construct a 95% confidence interval about u, - H2. 12.9 11.2 2.9 2.8 (a) Test whether u, # µ, at the a = 0.05 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. O A. Ho:H1 # H2 H1:H1 =H2 VB. Ho:H1 =H2 H1:H1 # H2 O C. Ho:H1 # H2 H1:H1> H2 O D. Ho:H1 = H2 H1:H1 > H2 Detemine the P-value for this hypothesis test. P= 0.102 (Round to three decimal places as needed.) Should the null hypothesis be rejected? O A. Do not reject Ho, there is not sufficient evidence to conclude that the two populations have different means. O B. Do not reject Ho, there is sufficient evidence to conclude that the two populations have different means. O C. Reject Ho, there is sufficient evidence to conclude that the two populations have different means. O D. Reject Ho, there is…
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−μ2. Population 1 Population 2 n 21 18 x 45.8 43.5 s 5.7 11.8
Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ≠6000; α=0.08; σ=391. Sample statistics: x=5900, n=49 Determine the outcome and conclusion of the test. Choose from the following. A. Reject H0. At the 8% significance level, there is enough evidence to support the claim. B. Fail to reject H0. At the 8% significance level, there is not enough evidence to support the claim. C. Fail to reject H0. At the 8% significance level, there is not enough evidence to reject the claim. D. Reject H0. At the 8% significance level, there is enough evidence to reject the claim.
The data for a random sample of six paired observations are shown in the table. a. Calculatex and s b. Express μ in terms of μ, and μ₂- c. Form a 90% confidence interval for Hd. d. Test the null hypothesis Ho: H = 0 against the alternative hypothesis H₂: #0. Use α=0.10. a. Calculate the difference between each pair of observations by subtracting observation from observation 1. Find X- (Round to two decimal places as needed.) (-) Pair 1 2 5 6 Population 1 Sample (Observation 1) 5 12 11 6 3 3 Population 2 Sample (Observation 2) 3 Q
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You wish to conduct a hypothesis test to determine if a bivariate data set has a significant correlation among the two variables. That is, you wish to test the claim that there is a correlation (Ha : p ‡ 0). You have a data set with 7 subjects, in which two variables were collected for each subject. You will conduct the test at a significance level of a = 0.05. Find the critical value for this test. rc.v. = ± Report answers accurate to three decimal places.
Assume that both populations are normally distributed. (a) Test whether H1 #H2 at the a = 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about u, - H2. Population 1 Population 2 13 13 14.1 11.8 4.2 3.1 (a) Test whether u, # H, at the a = 0.05 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. O A. Ho:H1 # H2 H1:H1 = H2 O B. Ho:H1 = H2 H1:41 > H2 OC. Ho:H1 H2 H1:H1> H2 D. Ho:H1 = H2 H1:41 # H2 Detemine the P-value for this hypothesis test. P = (Round to three decimal places as needed.)
Assume that both populations are normally distributed. (a) Test whether μ₁ #₂ at the α = 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about μ₁ − P2. H₁₁P2 OB. Ho P1 P2 H₁P₁ P₂ C. Ho H₁ xample H2 H₁ P₁ P2 D. Ho H₁ H2 H₁ H₁ H2 Detemine the P-value for this hypothesis test. P= (Round to three decimal places as needed.) Get more help. E n X S Population 1 12 10.2 2.6 Clear all Population 2 12 7.5 3

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