prove the theorem TheOrem:- Jt, X2, U3, Xy, Mg be The yandom sanmle alsize 5 from normal population.|ta =+X3t,5t3Ú af t3 is an enbalsedfind o.estimater of l Thenvi, show That ti,ta is unbaised estimater ofpopulation mean M.CS Scanned with CamScanner

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Answered: Theorem:- af, X2, 13, Xy , Ng be The…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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What is the purpose of the Intermediate Value Theorem?
Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.

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Theorem:- af, X2, 13, Xy , Ng be The Yandom sample of size 5 from normal papulation. t, to = 2 t3 = ax, + X2+aX3 3 Ús at t3 is an unbalsed estimater of M Then find n. ii) show That ti,ta is unbaised estimater of population mean M.