As such, the final conclusion is that...O There is sufficient evidence to warrant rejection of the claim that the first population mean isgreater than the second population mean.O There is not sufficient evidence to warrant rejection of the claim that the first populationmean is greater than the second population mean.O The sample data support the claim that the first population mean is greater than the secondpopulation mean.O There is not sufficient sample evidence to support the claim that the first population mean isgreater than the second population mean. You wish to test the following claim (H) at a significance level of a = 0.10.H₂:₁ = 12Ha: 1 > 2You believe both populations are normally distributed, but you do not know the standard deviationsfor either. However, assume that the variances of the two populations are equal. You obtain asample of size n₁ = 21 with a mean of 1 = 65.7 and a standard deviation of SD₁ = 15.5 fromthe first population. You obtain a sample of size n2 = 21 with a mean of 2 = 49.6 and a standarddeviation of SD2 = 12.5 from the second population.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 =The p-value is...O less than (or equal to) aOgreater than aThis test statistic leads to a decision to...O reject the nullO accept the nullO fail to reject the null

The question is about hypo. testing Given : Randomly selected sample from popl. 1 ( n1 ) = 21 Mean…

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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Similar questions

You wish to test the following claim (HaHa) at a significance level of α=0.05      Ho:μ=59.9      Ha:μ>59.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=93n=93 with mean M=62.6M=62.6 and a standard deviation of SD=9.4SD=9.4.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 = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 59.9. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 59.9. The sample data support the claim that the…
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.      Ho:μ=77.3Ho:μ=77.3       Ha:μ≠77.3Ha:μ≠77.3You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=18n=18 with mean M=84M=84 and a standard deviation of SD=10.6SD=10.6.What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
You wish to test the following claim (HaHa) at a significance level of 0.10.      Ho:μ=80.1Ho:μ=80.1      Ha:μ<80.1Ha:μ<80.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=11n=11 with mean M=70.3M=70.3 and a standard deviation of SD=7.7SD=7.7. The test statistic is -4.221 What is the p-value for this sample?
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.      Ho:μ=66.6Ho:μ=66.6       Ha:μ≠66.6Ha:μ≠66.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=19 with mean ¯x=74.3 and a standard deviation of s=11.5.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 =
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.      Ho:μ=58.7Ho:μ=58.7      Ha:μ>58.7Ha:μ>58.7You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=12n=12 with mean M=61.2M=61.2 and a standard deviation of SD=7.8.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 = The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 58.7. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 58.7. The sample data support the…
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.      Ho:μ=63.7Ho:μ=63.7      Ha:μ<63.7Ha:μ<63.7You 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 66.7 56.1 82.1 74.8 60.4 57.5 55.2 52.4 74.8 56.1 83.6 98 49.5 33.7 83.6 44.9 27.3 29.8 39 92.9 42.2 29.8 25.8 42.7 64.5 69.7 58 38.4 76.6 50.9 57.5 69.7 47 43.9 65 67.8 What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.      Ho:μ=81.9      Ha:μ≠81.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=12n=12 with mean M=72.6M=72.6 and a standard deviation of SD=7.5SD=7.5.What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = ______The p-value is... A.) less than (or equal to) αα B.) greater than α This p-value leads to a decision to... A.) reject the null B.) accept the null C.) fail to reject the null As such, the final conclusion is that... A.) There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 81.9. B.) There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 81.9. C.) The sample data support the claim that the population mean is not equal to 81.9. D.) There is not sufficient sample evidence to…
You wish to test the following claim (Ha) at a significance level of α=0.10.      Ho:μ=72.2       Ha:μ≠72.2You 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 102.6 66.5 52 59.2 91.1 100.3 47.4 77.7 70.8 94.7 83.9 107.6 87.7 65.4 82.3 88.2 87.7 68 60 95.3 78.4 72.9 101.4 58.3 59.2 100.3 71.6 76.1 74.9 74.9 56.2 88.2 77.7 72.9 90.6 81.1 55 86.4 78 53.6 57.3 86 94 50 85.1 105.6 92.2 70.3 73.7 59.2 81.9 78 86.4 75.7 86 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 = The p-value is... less than (or equal to) α greater than α
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.      Ho:μ1=μ2      Ha:μ1≠μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n1=20 with a mean of ¯x1=55.2 and a standard deviation of SD1=11.3SD1=11.3 from the first population. You obtain a sample of size n2=18 with a mean of ¯x2=48.3 and a standard deviation of SD2=7.2 from the second population.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 = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to…
You wish to test the following claim (Ha) at a significance level of α=0.002 Ho:μ=81.8 Ha:μ<81.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=22n=22 with mean M=76.5M=76.5 and a standard deviation of SD=14.6SD=14.6.What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = IncorrectWhat is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = CorrectThe p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is less than 81.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 81.8. The sample data support the claim…

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