You wish to test the following claim (Ha) at a significance level of a = 0.001.H₂:₁ = μ₂Η«:μι < μεYou obtain the following two samples of data.Sample #18775.467.8 72.3 74.372.6 77.4 75.28065.5 63.3 77.1 73.984.6 71.6 77.2 61.874.5 73 72.6 68.371.7 67.2 74.3 63.374 77.487 71.770.873 80.274.778 70.9 75.5 68.883.9 78.972.5 68.374.4 74.5 73.9 67.574.3 83.9 80.7 75.577.9 68.6 81.672.3 67.5 71.376.8Sample #28982.273 77.265.6 79.862.269.4 82.279.464.367.973.2 81.769.7 6577.4 84.9 68.27578.676.7 67.17984.5 87.4 67.1 71.4The p-value is...7971.4What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =O less than (or equal to) aO greater than aWhat is the p-value for this sample? For this calculation, use the degrees of freedom reported from thetechnology you are using. (Report answer accurate to four decimal places.)p-value=76.4767669.270.7 85.879.472.276.4 86.8This test statistic leads to a decision to...O reject the nullO accept the nullO fail to reject the nullAs such, the final conclusion is that...O There is sufficient evidence to warrant rejection of the claim that the first population mean is lessthan the second population mean.O There is not sufficient evidence to warrant rejection of the claim that the first population mean isless than the second population mean.O The sample data support the claim that the first population mean is less than the second populationmean.O There is not sufficient sample evidence to support the claim that the first population mean is lessthan the second population mean.

Given: H0:μ1=μ2 Ha:μ1<μ2 (claim) Required: To test the claim at a significance level α=0.001

Answered: You wish to test the following claim…

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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You wish to test the following claim (Ha) at a significance level of a = 0.02. || 74.4 Ha:µ + 74.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D Column E 82.1 86.3 73.9 81.8 66.3 56.6 73.4 74.7 78.5 93.6 60 79.8 71.4 76.3 86.8 60 82.1 69.6 87.7 79.5 96.1 88.2 97.9 81.8 66.7 72 86.3 82.1 78.7 57.9 79.3 62.9 85.5 75 75.5 71.1 64 71.7 62.3 86.3 69.2 80.9 85.2 75.8 88.2 83.7 65.9 63.5 86.3 67.1 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
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You wish to test the following claim (Ha) at a significance level of a = 0.01. H₂:μ₁ = μ₂ Ha:μι > με You obtain the following two samples of data. Sample #1 Sample #2 60 50.1 91.5 89.8 56 44.8 85.6 93.4 58.4 83.8 106.9 73.9 44.8 78.1 70.8 37.7 63.5 82.7 71.7 34.7 90.6 67.7 66.8 61.6 65 65.9 77.6 61.1 111.7 106.9 51.8 88.3 69 80.5 78.1 62.6 99.7 64.5 67.2 52.6 71.2 75.3 76.2 96.8 70.8 49.2 46.1 111.7 51.8 The p-value is... mlm What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 66.2 63.3 60 63.1 61.3 75 62.3 63.3 69.4 57.9 71.2 68.4 74.7 70.6 65.1 68.5 75.8 78.4 73.1 58.6 59.1 66 71.5 67.2 67.3 69 70.9 68.9 73.1 64.4 66.9 71.2 65.6 68.7 60.7 65.3 76.3 74.7 70.1 65.6 59.6 68.2 67.2 69.7 68.9 65.4 66.2 65.6 65.1 62.5 0.7 60.4 68.9 76.8 65.6 76.3 64.7 55.6 71.7 69.7 64.2 72.9 What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to…
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You wish to test the following claim (H₁) at a significance level of a = 0.001. H₂:₁ = ₂ Ha: