*** Please answer 6-8 ***Use the samples to find the mean completion time of the for themale runners ____27.955__________________ female runners ___31.490___________________ Use the samples to find the sample standard deviation of the completion times for themale runners ____0.708__________________ female runners ___0.960___________________ Find a point estimate for the mean completion time of themale runners _____27.955_________________ female runners _____31.490_________________ Construct a 95% confidence interval for the population mean completion time of themale runners ______30.996________________ female runners _____31.984_________________ 5. Interpret the results of number 4.__If 100 samples are obtained, 95 out of 100 would contain the true population mean completion time for males.___________________________________________________________ ___If 100 samples are obtained, 95 out of 100 would contain th true population mean completion time for females.________________________________________________________ 6. Use the samples to construct a 95% confidence interval for the population mean completion time of all runners. How do your results differ from those in number 4? Explain.______________________ _______________________________________________________________________________________________________________________________________ 7. Based on the 95% confidence intervals found in number 4, do you think that the men’s mean completion time and the women’s mean completion time could be the same? Explain why you believe that. _____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 8. Using the values that you found in numbers 1 and 2, perform the following hypothesis test.At a 10% significance level, test the claim that the women’s mean completion time is greater than ___________ (the men’s mean completion time from 1a). Ho: _________________ Ha: __________________ Label the claim. What type of test will you use? (Z-Test, T-test, or 1-ProZTest) _______________ Where is the rejection region? (Left-tailed, Right-tailed, Two-tailed test) _______ Find the critical value(s). α = 0.10 ________________ What is the value of the standardized test statistic? _________________ What is your p-value? __________________ What is your decision? (Reject Ho or Fail to Reject Ho) _________________ Write your conclusion. There ____________ (is/is not) enough evidence to ______________ (support/reject) the claim that _________________. CountryMen's NameTime in MinutesAUSDavid MCNEILL27.86RSAStephen MOKOKA27.91BELBashir ABDI28.03UGAMoses Martin KURONG28.06ERIGoitom KIFLE28.27BRNEl Hassan ELABBASSI28.34AUSBen ST LAWRENCE28.77JPNKota MURAYAMA29.04CANMohammed AHMED29.55GBRMohamed FARAH27.09ETHTamirat TOLA27.11USAGalen RUPP27.15KENBedan Karoki MUCHIRI27.38ERINguse AMLOSOM27.51KENGeoffrey Kipsang KAMWOROR27.53TURPolat Kemboi ARIKAN27.59 CountryWomen's NameTime in minutesKENVivian Jepkemoi CHERUIYOT29.54KENAlice Aprot NAWOWUNA29.89USAMolly HUDDLE30.22ETHGelete BURKA30.45AUSEloise WELLINGS31.25SWESarah LAHTI31.47BDIDiane NUKURI31.48GBRJoanne PAVEY31.56GREAlexi PAPPAS31.60KGZDarya MASLOVA31.62RSADominique SCOTT31.86UAEAlia Saeed MOHAMMED31.95CANLanni MARCHANT32.07RWASalome NYIRARUKUNDO32.13ESPTrihas GEBRE32.16BRATatiele Roberta DE CARVALHO32.64USAMarielle HALL32.66MEXMarisol ROMERO35.55

Question

*** Please answer 6-8 ***Use the samples to find the mean completion time of the for themale runners ____27.955__________________ female runners ___31.490___________________ Use the samples to find the sample standard deviation of the completion times for themale runners ____0.708__________________ female runners ___0.960___________________ Find a point estimate for the mean completion time of themale runners _____27.955_________________ female runners _____31.490_________________ Construct a 95% confidence interval for the population mean completion time of themale runners ______30.996________________ female runners _____31.984_________________   5. Interpret the results of number 4.__If 100 samples are obtained, 95 out of 100 would contain the true population mean completion time for males.___________________________________________________________ ___If 100 samples are obtained, 95 out of 100 would contain th true population mean completion time for females.________________________________________________________                     6. Use the samples to construct a 95% confidence interval for the population mean completion time of all runners. How do your results differ from those in number 4? Explain.______________________ _______________________________________________________________________________________________________________________________________  7. Based on the 95% confidence intervals found in number 4, do you think that the men’s mean completion time and the women’s mean completion time could be the same? Explain why you believe that. _____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 8. Using the values that you found in numbers 1 and 2, perform the following hypothesis test.At a 10% significance level, test the claim that the women’s mean completion time is greater than ___________ (the men’s mean completion time from 1a). Ho: _________________ Ha: __________________   Label the claim. What type of test will you use? (Z-Test, T-test, or 1-ProZTest) _______________ Where is the rejection region? (Left-tailed, Right-tailed, Two-tailed test) _______ Find the critical value(s). α = 0.10 ________________ What is the value of the standardized test statistic? _________________ What is your p-value? __________________ What is your decision? (Reject Ho or Fail to Reject Ho) _________________ Write your conclusion. There ____________ (is/is not) enough evidence to ______________ (support/reject) the claim that _________________.    CountryMen's NameTime in MinutesAUSDavid MCNEILL27.86RSAStephen MOKOKA27.91BELBashir ABDI28.03UGAMoses Martin KURONG28.06ERIGoitom KIFLE28.27BRNEl Hassan ELABBASSI28.34AUSBen ST LAWRENCE28.77JPNKota MURAYAMA29.04CANMohammed AHMED29.55GBRMohamed FARAH27.09ETHTamirat TOLA27.11USAGalen RUPP27.15KENBedan Karoki MUCHIRI27.38ERINguse AMLOSOM27.51KENGeoffrey Kipsang KAMWOROR27.53TURPolat Kemboi ARIKAN27.59  CountryWomen's NameTime in minutesKENVivian Jepkemoi CHERUIYOT29.54KENAlice Aprot NAWOWUNA29.89USAMolly HUDDLE30.22ETHGelete BURKA30.45AUSEloise WELLINGS31.25SWESarah LAHTI31.47BDIDiane NUKURI31.48GBRJoanne PAVEY31.56GREAlexi PAPPAS31.60KGZDarya MASLOVA31.62RSADominique SCOTT31.86UAEAlia Saeed MOHAMMED31.95CANLanni MARCHANT32.07RWASalome NYIRARUKUNDO32.13ESPTrihas GEBRE32.16BRATatiele Roberta DE CARVALHO32.64USAMarielle HALL32.66MEXMarisol ROMERO35.55

Accepted Answer

Given Information:
For Female runners:
x¯1=31.490,  s1=0.960, n1=18
For Male runners:
x¯2=27.955,…

Country	Men's Name	Time in Minutes
AUS	David MCNEILL	27.86
RSA	Stephen MOKOKA	27.91
BEL	Bashir ABDI	28.03
UGA	Moses Martin KURONG	28.06
ERI	Goitom KIFLE	28.27
BRN	El Hassan ELABBASSI	28.34
AUS	Ben ST LAWRENCE	28.77
JPN	Kota MURAYAMA	29.04
CAN	Mohammed AHMED	29.55
GBR	Mohamed FARAH	27.09
ETH	Tamirat TOLA	27.11
USA	Galen RUPP	27.15
KEN	Bedan Karoki MUCHIRI	27.38
ERI	Nguse AMLOSOM	27.51
KEN	Geoffrey Kipsang KAMWOROR	27.53
TUR	Polat Kemboi ARIKAN	27.59

Country	Women's Name	Time in minutes
KEN	Vivian Jepkemoi CHERUIYOT	29.54
KEN	Alice Aprot NAWOWUNA	29.89
USA	Molly HUDDLE	30.22
ETH	Gelete BURKA	30.45
AUS	Eloise WELLINGS	31.25
SWE	Sarah LAHTI	31.47
BDI	Diane NUKURI	31.48
GBR	Joanne PAVEY	31.56
GRE	Alexi PAPPAS	31.60
KGZ	Darya MASLOVA	31.62
RSA	Dominique SCOTT	31.86
UAE	Alia Saeed MOHAMMED	31.95
CAN	Lanni MARCHANT	32.07
RWA	Salome NYIRARUKUNDO	32.13
ESP	Trihas GEBRE	32.16
BRA	Tatiele Roberta DE CARVALHO	32.64
USA	Marielle HALL	32.66
MEX	Marisol ROMERO	35.55