You wish to test the following claim (H) at a significance level of a = 0.10.Ho: 1 = 2Ha: 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 = 13 with a mean of ₁ = 60.2 and a standard deviation of SD₁ = 11.2 fromthe first population. You obtain a sample of size n₂ = 25 with a mean of 2 = 50.9 and a standarddeviation of SD2 = 9.5 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) aO greater than aThis test statistic leads to a decision to...O reject the nullO accept the nullO fail to reject the null As such, the final conclusion is that...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.

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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 = 0.01. 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 = 26 with a mean of E = 65.1 and a standard deviation of s1 = 20.3 from the first population. You obtain a sample of size ny = 27 with a mean of ī2 = 81.8 and a standard deviation of s2 = 14.9 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 reater than a d. This test statistic leads to a decision to... O reject 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 warrant…
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You wish to test the following claim (HaHa) at a significance level of α=0.05 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=23 with a mean of ¯x1=74.5 and a standard deviation of SD1=20.4 from the first population. You obtain a sample of size n2=11with a mean of ¯x2=89.8and a standard deviation of SD2=7.3 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 warrant rejection of…
A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72 116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =
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