numerical method Interpolations The following table gives certain corresponding values of x and log, x.Using Lagrange interpolation, compute the following term, if possible.(a) log, (323.5)7.(b) log,o (353.5)510321.0322.8324.2325.0log,0 x2.5072.5092.5112.512

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Answered: The following table gives certain…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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t Test for TWO DEPENDENT (Related) SAMPLES (Show all work) A manufacturer of a gas additive claims that it improves gas mileage. A random sample of 40 drivers tests this claim by determining their gas mileage for a full tank of gas that contains the additive (X1) and for a full tank of gas that does not contain the additive (X2). The sample mean difference D-Bar equals 2.12 miles (in favor of the additive) and the estimated standard error equals 1.50 miles. Test the Null Hypothesis with t, using the .05 Level of significance and construct a 95 percent confidence interval (whether you reject OR retain the Null Hypothesis)
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Computing the Z-test Statistic The State College is evaluating a new English composition course for freshmen. A random sample of n = 25 freshmen is selected from the State College. All 25 students are placed in the new English composition course during their first semester. One year later, a writing sample is obtained for each student and their writing samples are graded using a standardized evaluation technique. The average score for the sample is M= 76. For the general population of the State College, writing scores form a normal distribution with a mean = 70 and a standard deviation = 20. Please calculate the appropriate hypothesis test using all four steps?
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The following table gives certain corresponding values of x and log, x. Using Lagrange interpolation, compute the following term, if possible. (a) log, (323.5) 7. (b) log,o (353.5) 510 321.0 322.8 324.2 325.0 log,0 x 2.507 2.509 2.511 2.512