Use a t-distribution and the given matched pairsample results to complete the test of the givenhypotheses. Assume the results come fromrandom samples, and if the sample sizes aresmall, assume the underlying distribution of thedifferences is relatively normal. Assume thatdifferences are computed using d=x₁-x₂.Test Ho: a = 0 VS Ha : µd ‡ 0sample results x, = 16.97, sa = 14.0, na = 25.Part 1Give the test statistic and the p-value.Round your answer for the test statistic totwo decimal places and your answer for the p-value to three decimal places.test statistic =using the paired differencep-value=Part 2Give the conclusion using a 5 % significance level.Reject Ho.Do not reject Ho. Part 2Your answer is correct.(b) What is the margin of error?Round your answer to one decimal place.margin of error = 24eTextbook and MediaHintPart 3Your answer is incorrect.(c) If we want a margin of error of only 1% (with90% confidence), what sample size is needed?sample size =%Round your answer up to the nearest integer.iAttempts: unlimited!

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Show that the t-distribution with r = 1 degree of freedom and the Cauchydistribution are the same.
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Suppose X, Y, Z are iid observations from a Poisson distribution with parameter λ, which is unknown. Consider the 3 estimators T1 = X + Y − Z, T2 = 2X + Y + Z 4 , T3 = 3X + Y + Z 5 . (a) Which among the above estimators are unbiased? (b) Among the class of unbiased estimators, which has the minimum variance?

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