A.) More than 22.7 minutes Round your answer to three decimal places. proportion

Question

A.) More than 22.7 minutes
Round your answer to three decimal places.

proportion =

B.) Less than 19.6 minutes
Round your answer to three decimal places.

proportion =

C.) Between 21.4 and 22.6 minutes
Round your answer to three decimal places.

User Dashboard C Heights of Me Wiley US Random Samples nd The specified It h been found th C Secure https edugen wiley plus.com/edugen/student/mainfr uni Wiley PLUS Statistics: Unlocking the Power of Data, 1st Edition, WileyPLUS Custom Course for Universi of Kentucky ty Statistical Methods And Motivations (SIA 296) Home Read, Study & Practice Assignme Gradebook Assignment Open Assignment MESSAGE NY INSTRUCTOR FULL scREEN PRINTER VERSEoN BACK Chapter 5, Section 1r Exercise 030 Commuting Times in St. Louis hach 500 sL Louis workers stored in C Lee SUL is shown in Figure 1 A bootstrap distribution of mean corrirnule Limes (in minutes) Lased on a sample of Chanter 5, smtinn 1 0 000 00 20.0 20.5 21.0 21.5 22.0 22.5 23.0 23.5 24.0 xbar Figure 1 Bootstrap means for commute times The PatLerni in this dotplot is bly bell-shap sa we use a nurmial curve model this distribution of buutstrap mearls. The mean iur this distribution is 21,97 rrniriutes and th- standard deviatiar is 0.65 Rewi ts by minute Based on this n distribution, what proportion of bootstrap means should be in each of the following regions? omal Sturdy Click here for the dataset associated with this question. version 4.22.3.5 LIcan s Agreement l mwacy rally 2017 lohn Wlloy & Sons Insa All RIghts Reserved. A DIvlslon of lohn WIloy & Sons Inca 8 PM a

Explanation / Answer

here mean=21.97 and standard deviation=sd=0.65

we use standard normal variate z=(x-mean)/sd

A.) More than 22.7 minutes
Round your answer to three decimal places.

proportion = 0.131

for x=22.7, z=(22.7-21.97)/0.65=1.1231

P(x>22.7)=P(z>1.1231)=1-P(z<1.1231)=1-0.8693=0.1307

P(z<1.1231)=0.8693 ( using ms-excel command=normsdist(1.1231)

B.) Less than 19.6 minutes
Round your answer to three decimal places.

proportion = 0

for x=19.6, z=(19.6-21.97)/0.65=-3.6462

P(x<19.6)=P(z<-3.646)=0.0001

C.) Between 21.4 and 22.6 minutes

Round your answer to three decimal places.

proportion = 0.644

for x=21.4, z=(21.4-21.97)/0.65=-0.8769

for x=22.6, z=(22.6-21.97)/0.65=0.9692

P(21.4<x<22.6)=P(-0.8789<z<0.9692)=P(z<0.9692)-P(z<-0.8798)=0.8338-0.1903=0.6435

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