You wish to test the following claim (Ha) at a significance level of a = 0.005.Ho: μ = 74.6Ha: μ < 74.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain asample of size n = 34 with mean M 72.9 and a standard deviation of SD = 13.9.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...Oreject the nullo accept the nullo fail to reject the nullAs such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the population mean is less than74.6.There is not sufficient evidence to warrant rejection of the claim that the population mean is less than74.6.The sample data support the claim that the population mean is less than 74.6.There is not sufficient sample evidence to support the claim that the population mean is less than 74.6.

Given information Population mean μ=74.6, level of significance ɑ=0.005, sample mean x̄=M=72.9,…

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 = 0.002. Ha:µ < 78.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 19 with mean = 70.4 and a standard deviation of s = 19.8. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is. Oless than (or equal to) a Ogreater than a This p-value leads to a decision to. Oreject the null Oaccept the null Ofail to reject the nul As such, the final conclusion is that. OThere is sufficient evidence to warrant rejection of the claim tha: the population mean is less than 78.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 78.6. OThe sample data support the claim that the population mean is less than 78.6. OThere is not sufficient sample evidence to support the claim that the population mean is less than 78.6.
You wish to test the following claim (Ha) at a significance level of a = 0.10. Ho: μ = 64.2 Ha: μ < 64.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 12 with mean M = 45.9 and a standard deviation of SD = 17.1. 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 = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O 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 64.2. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 64.2. O The sample data support the claim that the population mean is less than…
You wish to test the following claim (H,) at a significance level of a = 0.10. H.:u = 53.6 Ha:u + 53.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 105 with mean M = 55.6 and a standard deviation of SD = 14.4. 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.. O less than (or equal to) o O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that.. O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 53.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 53.6. O The sample data support the claim that the population mean…
You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: μ = 55.6 H@μ < 55.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 38.7 63.5 49.1 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= The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... Oreject 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 55.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 55.6. The sample data support the claim that the population mean is less than 55.6. There is not sufficient sample…
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 =
You wish to test the following claim (H) at a significance level of a = 0.001. Ho:μ = 59.6 Ha: μ < 59.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 723 with mean M 59.2 and a standard deviation of SD = 5.2. 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) a Ogreater than a This test statistic leads to a decision to... o reject the null o accept the null o 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 59.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 59.6. The sample data support the claim that the population mean is less than…
You wish to test the following claim (Ha) at a significance level of α=0.02 Ho:μ=54.6 Ha:μ>54.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=87 with mean M=55.8and a standard deviation of SD=7.7What 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... A-less than (or equal to) αα B-greater than αα This test statistic 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 greater than 54.6. B-There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 54.6. C-The sample data support the claim that the population…
You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 68.6 Ha:u # 68.6 You believe the population is normally distributed and you know the standard deviation is a= 16.5 .You obtain a sample mean of M = 72.9 for a sample of size n = 25. 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) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 68.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 68.6. O The sample data support the claim that the population mean is not equal to 68.6.…
You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:µ = 79.2 Ha:µ < 79.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 27 with mean M = 74.8 and a standard deviation of SD = 12.8. 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... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is less than 79.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 79.2. O The sample data support the claim that the population mean is…
You wish to test the following claim at a significance level of a=0.10. H0:U=81.8 H1:U<81.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size 90 with mean 77.6 and a standard deviation of 14.8.What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)What is the p-value for this sample? (Report answer accurate to 4 decimal places.)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 conclude that the population mean is equal to 81.8. there is not sufficient evidence to conclude that the population mean is equal to 81.8. there is sufficient evidence to conclude that the population mean is less than 81.8. there is not sufficient evidence to conclude that the population mean is less than 81.8.
You wish to test the following claim (H) at a significance level of a = 0.05. Ho: p= 84.3 Ha : μ > 84.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 118 with mean M = 86.2 and a standard deviation of SD = 9.6. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 2.15 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) a Ogreater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null F As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 84.3. O There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 84.3. O The sample data support the claim that the population…

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