WileyPLUS xeChegg Study! Guided x ME Tables-17FAMATH1703 × \\ D TableV-StNormalD

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WileyPLUS xeChegg Study! Guided x ME Tables-17FAMATH1703 × D TableV-StNormalDist(1).1 x D Tablelll(T-Dist)(1).pdf X CSecure https://edugen.wileyplus.com/ed : Apps D TWU Home Texas EasyBib: Free Bibl og E My Blackboard-Bla Home Q Your Sets Quizlet + Online Texas Defensi-. Texas woman's Uni t D WileyPLUS Login | Assignment Open Assignment FULLSCREEN pRIN TER VERSION BACK NEXT ASSIGNMENT RESOURCES Suppose that the volume in a can of soda is normally distributed with mean 358 milliliters and standard deviation 6 millilite a. Determine the probability that a single randomly selected can has a volume of more than 350liters Exercise 14-10 Unit 3, Topic 1 Round your answer to four decimal places. Unit 3, Topic 14 Now consider taking a random sample of six cans. b. Determine the probability that the average volume in this six-pack is more than 350 milliliters. Rev Round your answer to four decimal places. C. Explain why your calculation in part b is valid even though the sample size ( n = 6 ) is quite small The calculation in part b is valid even though the sample size is small because the population d. Is your answer to part b smaller, larger, or the same as your answer to part a? Explain why this makes sense, without referring to any formulas or calculations. The answer to part b is the answer to part a. This makes sense because the standard deviation of a sample of six cans is Ythe population standard deviation All Rights Reserved. A Division of John Wiley & Sons, Inc. Version 4.24.1.23 Type here to search 925 PM 10/25/2017

Explanation / Answer

Here mean 358 and standard deviation =6

a. p(X>350)=1-P(X<350)=1-P(Z<350-358/6)=1-P(Z<-1.333)=1-0.091212=0.90878 ...use =NORMSDIST(-1.33) to calculatr normal probability in excel

b.P(X bar>350)=1-P(Xbar<350)=1-P(Z<350-358/6/sqrt(6)=1-P(Z<-3.260=1-0.000545=0.99945

c.Not sure.

Hope above all helpful to you Thanks and god bless you.

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