You wish to test the following claim (H) at a significance level of a = 0.01.Ho: 1 = 2Ha: 12You obtain a sample of size n₁ = 13 with a mean of 1 = 62.9 and a standard deviation a= 18 with a mean of$18.7 from the first population. You obtain a sample of size n₂2 59.2 and a standard deviation of s2 = 6.5 from the second population.=Find a confidence interval for the difference of the population means. For this calculation,use the conservative under-estimate for the degrees of freedom as mentioned in thetextbook. (Report answer accurate to three decimal places.)confidence interval =The test statistic is...the confidence interval contains zeroall values in the confidence interval are below zeroall values in the confidence interval are above zeroThis test statistic leads to a decision to...reject the null

Given : n1 = 13 dof1 = n-1 = 13-1 = 12 Mean1 = 62.9 S1= 8.7 n2 = 18 dof2 = n-1 = 18-1 = 17 Mean2…

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 α=0.01. H0:μ1≤μ2Ha:μ1>μ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. You obtain a sample of size n1=18 with a mean of M1=54.9 and a standard deviation of SD 1=7.9. You obtain a sample of size n2=17 with a mean of M2=48.5 and a standard deviation of SD2=18.9. test statistic = p-value = The p-value is...A.less than (or equal to) αB. greater than α This test statistic leads to a decision to...A. reject the null hypothesisB. fail to reject the null hypothesis As such, the final conclusion is that...A. There is sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.B. There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.
You wish to test the following claim (Ha) at a significance level of a 0.01. Ho: 41 Ha: µ1 # µ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain the following two samples of data. Sample #1 Sample #2 52.4 66.6 56.9 44 51.3 49.3 51.6 50.4 58.7 31.3 54.4 26.4 39.9 50.1 48.3 24.9 50.9 36.6 54.7 63.4 61.2 42.3 36.3 32.1 37.7 58.4 67.1 35.4 34.1 56.1 43.1 54.7 69 48 56.1 57.8 43.1 54.1 33.2 49.5 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? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value =
You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho: μ = 57.2 Ha: μ < 57.2You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=106n=106 with a mean of μ=56.2μ=56.2 and a standard deviation of s=9.8s=9.8.What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = ________
You wish to test the following claim (H.) at a significance level of a = = 0.02. H.: 41 Ha: µ1 – µ2 > 0 You obtain a sample of size ị the first population. You obtain a sample of size n2 of s2 57.2 and a standard deviation of s1 85 with a mean of 2 65 with a mean of x1 17.2 from 54.7 and a standard deviation 7.1 from the second population. You will need to determine whether or not to pool so you will use the correct df. What is the critical value for this test? Report answer accurate to three decimal places. critical value =
You wish to test the following claim (Ha) at a significance level of a = 0.10. H.: µ1 – µ2 = 0 Ha: µ1 – µ2 > 0 You obtain a sample of size nị the first population. You obtain a sample of size of s2 = 54.9 and a standard deviation of s1 = 78 with a mean of 2 65 with a mean of x1 17.1 from 46.7 and a standard deviation n2 7.2 from the second population. You will need to determine whether or not to pool so you will use the correct df. What is the critical value for this test? Report answer accurate to three decimal places. critical 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 (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 (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=0.01α=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…
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.6 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 14 samples is 4.9 ppm with a variance of 1.2 Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal. Step 2 of 5 : Find the value of the test statistic. Round your answer to three decimal places.
You wish to test the following claim (Ha) at a significance level of α=0.10. Ho:μ1=μ2 Ha:μ1<μ2 You obtain a sample of size n1=21 with a mean of M1=72.5 and a standard deviation of SD1=18.7 from the first population. You obtain a sample of size n2=22 with a mean of M2=76.2 and a standard deviation of SD2=15.8 from the second population. Use the Theory-based inference applet to conduct the test of significance. (a) What is the t-score for this sample? t-score = (Round to 2 decimal places.) (b) What is the p-value for this sample? p-value = (Round to 4 decimal places.) (c) The p-value is... less than (or equal to) α greater than α (d) This p-value leads to a decision to... strong evidence to support the alternative accept the null null is plausible (e) As such, the final conclusion is that... We conclude that μ1<μ2 . We conclude that μ1=μ2 . We have statistically significant evidence to support the claim that μ1<μ2 ..…
You wish to test the following claim (H) at a significance level of a = 0.05. Ho: = 59.1 Ha:μ > 59.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 70 with mean M = 62.7 and a standard deviation of SD = 18.8. 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) a greater than a 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 59.1. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 59.1. The sample data support the claim that the population mean is greater than…

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