Question 7>You wish to test the following claim (Ha) at a significance level of a =0.05.H.: 41Ha: µ1 7 42You believe both populations are normally distributed, but you do not know the standard deviations foreither. However, you have reason to believe that the variances of the two populations are equal. You obtaina sample of size nį = 14 with a mean of M1first population. You obtain a sample of size n2of SD2 = 7.4 from the second population.= 67.8 and a standard deviation of SD119 with a mean of M215.5 from the61.7 and a standard deviationIn the answer box below insert 2.0395 as the critical value for this test. (Report answer accurate to threedecimal places.)critical valueWhat is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =%3DThe test statistic is...O in the critical regionO not in the critical region

Given critical values are, Critical value=±2.0395 Test statistic: Consider, the pooled variance…

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 = 0.001. t = I1:"H You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample of size n = 20 with a mean of E = 79.7 and a standard deviation of s1 = 11.5 from the first population. You obtain a sample of size nr = 26 with a mean of I2 = 81.7 and a standard deviation of s2 = 10.4 from the second population. a. What is the test statistic for this sample? test statistic = Round to 3 decimal places. b. What is the p-value for this sample? For this calculation, use. p-value = Use Technology, Round to 4 decimal places. c. The p-value is... O less than (or equal to) a O greater than o d. This test statistic leads to a decision to.. O eject the null O accept the null O fail to reject the null e. As such, the final conclusion is that... O There is sufficient evidence to…
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 (Ha) at a significance level of a=0.02. H0: u=83.9 Ha:u<83.9 You believe the population is normally distributed but you do not know the standard deviation. You obtain a sample of size n=119 with the meanM=79.4 and a standard deviation of SD=12.9. What is the test statistic foe this sample? What is the P value for this sample? The p value is less than or greater than a? This test statistic leads to a decision to: reject the null, accept the null, or fail to reject the null?
You wish to test the following claim (Ha) at a significance level of α=0.02α=0.02.      Ho:μ=58.8Ho:μ=58.8      Ha:μ>58.8Ha:μ>58.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 70.9 41.4 73.5 77.6 63.1 53.9
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.      Ho:μ=57.7Ho:μ=57.7       Ha:μ≠57.7Ha:μ≠57.7You believe the population is normally distributed and you know the standard deviation is σ=10.5σ=10.5. You obtain a sample mean of M=60.2M=60.2 for a sample of size n=18n=18.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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Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:μ=52.8Ho:μ=52.8 Ha:μ<52.8Ha:μ<52.8You 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 68.6 49.4 55.1 46.6 37.3 64.7 53.4 56.9 49.1 42.7 59.3 51.5 44.1 44.8 43.8 46 56.9 64.7 51.8 47.7 53.4 50.5 50.2 37.9 41.6 56.6 58.9 35.2 53.4 56.3 50.7 49.9 61.2 75.9 56 42 65.4 48 56.3 51.8 51 45.4 55.4 54.6 59.6 45.7 71.1 61.2 75.9 53.7 51.5 44.8 56.6 26.1 49.1 32.3 75.9 55.1 53.7 75.9 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... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail…
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 (H.) at a significance level of a = 0.001. For the context of this problem, Ha = 42 - 4i where the first data set represents a pre-test and the second data set represents a post-test. H.: Hd = 0 Ha:Ha + 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 40 subjects. The average difference (post - pre) is d = 2.8 with a standard deviation of the differences of sa = 19.9. 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) 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…
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 (HaHa) at a significance level of α=0.05α=0.05. Ho:μ=67.5Ho:μ=67.5 Ha:μ>67.5Ha:μ>67.5You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=10n=10 with mean M=77.3M=77.3 and a standard deviation of SD=19.4SD=19.4.What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =

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