A sample of 38 observations is selected from one population with a population standard deviation of 4.9. The sample mean is 102.0. A sample of 49 observations is selected from a second population with a population standard deviation of 4.8. The sample mean is 100.4. Conduct the following test of hypothesis using the 0.04 significance level. H0 : μ1 = μ2H1 : μ1 ≠ μ2a) State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) The decision rule is to reject Ho is z is________ the interval (__________, _____)b) Compute the value of the test statistic. (Round your answer to 2 decimal places.)c) What is the p-value? (Round your answer to 4 decimal places.)

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Description: A sample of 38 observations is selected from one population with a population standard deviation of 4.9. The sample mean is 102.0. A sample of 49 observations is selected from a second population with a population standard deviation of 4.8. The sampl

The sample means of first and second population are 102.3 and 100.4 respectively. The standard…

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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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A sample of 38 observations is selected from one population with a population standard deviation of 4.9. The sample mean is 102.0. A sample of 49 observations is selected from a second population with a population standard deviation of 4.8. The sample mean is 100.4. Conduct the following test of hypothesis using the 0.04 significance level.

H₀ : μ₁ = μ₂

H₁ : μ₁ ≠ μ₂

_{a) State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) The decision rule is to reject Ho is z is________ the interval (__________, _____)}

_{b) Compute the value of the test statistic. (Round your answer to 2 decimal places.)}

_{c) What is the p-value? (Round your answer to 4 decimal places.)}

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