The data for a random sample of six paired observations are shown in the table.a.Calculatex and sb. Express μ in terms of μ, and μ₂-c. Form a 90% confidence interval for Hd.d. Test the null hypothesis Ho: H = 0 against the alternative hypothesis H₂: #0. Use α=0.10.a. Calculate the difference between each pair of observations by subtracting observation from observation 1. Find X-(Round to two decimal places as needed.)(-)Pair1256Population 1 Sample(Observation 1)51211633Population 2 Sample(Observation 2)3Q

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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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The following table shows the weights (in pounds) and the number of hours slept in a day by a random sample of infants. 1. Calculate the test statistic. t = ____. 2. Calculate the P-value. P=____.
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You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ1=μ2 Ha:μ1≠μ2You believe both populations are normally distributed and that the population standard deviations are known. You obtain a sample of size n1=42 with a mean of ¯x1=69.5 and a population standard deviation of σ1=16.2 from the first population. You obtain a sample of size n2=55 with a mean of ¯x2=75.4 and a population standard deviation of σ2=17.9 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 the claim that the first population…
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Given the following null and alternative hypotheses, conduct a hypothesis test using an alpha equal to 0.05. (Note: The population standard deviations are assumed to be known.) H0: µ1 ≤ µ2 HA: µ1 > µ2 The sample means for the two populations are shown as follows: sample mean 1 = 144, sample mean 2 = 129 population standard deviation 1 = 11, population standard deviation 2 = 16 sample size 1 = 40, sample size 2 = 50 Answer: Decision Rule : Reject H0 if Zcal > citical value Z = Test statistic: (Z calculated) Zcal = (use 4 decimal places)Conclusion: H0.
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