9. A trainer decides to do a study because he wants to estimate the population mean completiontimes for both male and female runners within 1/4 minute (0.25 minute). How many runners ofeach sex does he need for his study? Determine the minimum sample size required toconstruct a 99% confidence interval for the population mean completion times ofa. male runners. Assume the population standard deviation is 0.64 minutes.b. female runners. Assume the population standard deviation is 1.12 minutes. CountryMen's NameTime inMinutesGBRMohamed FARAH27.09Tamirat TOLAGalen RUPPBedan Karoki MUCHIRINguse AMLOSOMЕTH27.11USA27.15KEN27.38ERI27.51KENGeoffrey Kipsang KAMWOROR27.53TÜRPolat Kemboi ARIKAN27.59ЕTHAbadi HADIS27.61JPNSuguru OSAKO27.87USAShadrack KIPCHIRCHIR27.97PERLuis OSTOS28.03UGATimothy TOROITICH28.08GBRAndrew VERNON28.32BDIOlivier IRABARUTA28.55JPNYuta SHITARA28.92GBRRoss MILLINGTON29.25CountryWomen's NameTime in minutesETHAlmaz AYANA29.29ЕTHTirunesh DIBABA29.71KENBetsy SAINA30.13TURYasemin CAN30.44NORKaroline Bjerkeli GROVDAL31.24USAEmily INFELD31.45BDIDiane NUKURI31.48GBRJoanne PAVEY31.56GREAlexi PAPPAS31.60Darya MASLOVADominique SCOTTKGZ31.62RSA31.86UAEAlia Saeed MOHAMMED31.95CANLanni MARCHANT32.07wwRWASalome NYIRARUKUNDO32.13ESPTrihas GEBREwww32.16BRATatiele Roberta DE CARVALHO32.64USAMarielle HALL32.66МЕXMarisol ROMERO35.55

From the given information, the margin of error is E=0.25 and the confidence level is 0.99.The confidence level is 0.99. Then, the minimum sample size required is The minimum sample size required isa. The minimum sample size required is 44. b. The minimum sample size required is 134.

Math

Statistics

9. A trainer decides to do a study because he wants to estimate the population mean completion times for both male and female runners within 1/4 minute (0.25 minute). How many runners of each sex does he need for his study? Determine the minimum sample size required to construct a 99% confidence interval for the population mean completion times of a. male runners. Assume the population standard deviation is 0.64 minutes. b. female runners. Assume the population standard deviation is 1.12 minutes.

9. A trainer decides to do a study because he wants to estimate the population mean completion times for both male and female runners within 1/4 minute (0.25 minute). How many runners of each sex does he need for his study? Determine the minimum sample size required to construct a 99% confidence interval for the population mean completion times of a. male runners. Assume the population standard deviation is 0.64 minutes. b. female runners. Assume the population standard deviation is 1.12 minutes.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

9. A trainer decides to do a study because he wants to estimate the population mean completion
times for both male and female runners within 1/4 minute (0.25 minute). How many runners of
each sex does he need for his study? Determine the minimum sample size required to
construct a 99% confidence interval for the population mean completion times of
a. male runners. Assume the population standard deviation is 0.64 minutes.
b. female runners. Assume the population standard deviation is 1.12 minutes.

Country
Men's Name
Time in
Minutes
GBR
Mohamed FARAH
27.09
Tamirat TOLA
Galen RUPP
Bedan Karoki MUCHIRI
Nguse AMLOSOM
ЕTH
27.11
USA
27.15
KEN
27.38
ERI
27.51
KEN
Geoffrey Kipsang KAMWOROR
27.53
TÜR
Polat Kemboi ARIKAN
27.59
ЕTH
Abadi HADIS
27.61
JPN
Suguru OSAKO
27.87
USA
Shadrack KIPCHIRCHIR
27.97
PER
Luis OSTOS
28.03
UGA
Timothy TOROITICH
28.08
GBR
Andrew VERNON
28.32
BDI
Olivier IRABARUTA
28.55
JPN
Yuta SHITARA
28.92
GBR
Ross MILLINGTON
29.25
Country
Women's Name
Time in minutes
ETH
Almaz AYANA
29.29
ЕTH
Tirunesh DIBABA
29.71
KEN
Betsy SAINA
30.13
TUR
Yasemin CAN
30.44
NOR
Karoline Bjerkeli GROVDAL
31.24
USA
Emily INFELD
31.45
BDI
Diane NUKURI
31.48
GBR
Joanne PAVEY
31.56
GRE
Alexi PAPPAS
31.60
Darya MASLOVA
Dominique SCOTT
KGZ
31.62
RSA
31.86
UAE
Alia Saeed MOHAMMED
31.95
CAN
Lanni MARCHANT
32.07
ww
RWA
Salome NYIRARUKUNDO
32.13
ESP
Trihas GEBRE
www
32.16
BRA
Tatiele Roberta DE CARVALHO
32.64
USA
Marielle HALL
32.66
МЕX
Marisol ROMERO
35.55

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