*** Please answer 6-8 *** Use the samples to find the mean completion time of the for the male runners ____27.955__________________ female runners ___31.490___________________ Use the samples to find the sample standard deviation of the completion times for the male runners ____0.708__________________ female runners ___0.960___________________ Find a point estimate for the mean completion time of the male runners _____27.955_________________ female runners _____31.490_________________ Construct a 95% confidence interval for the population mean completion time of the male 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 _________________. 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

* Please answer 6-8 * Use the samples to find the mean completion time of the for the male runners 27.955____________ female runners _31.490___ Use the samples to find the sample standard deviation of the completion times for the male runners 0.708 female runners _0.960_________________ Find a point estimate for the mean completion time of the male runners _27.955_____________ female runners _31.490_ Construct a 95% confidence interval for the population mean completion time of the male 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 ___________. 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

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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Related questions

Question

*** Please answer 6-8 ***

Use the samples to find the mean completion time of the for the
1. male runners ____27.955__________________
2. female runners ___31.490___________________
Use the samples to find the sample standard deviation of the completion times for the
1. male runners ____0.708__________________
2. female runners ___0.960___________________
Find a point estimate for the mean completion time of the
1. male runners _____27.955_________________
2. female runners _____31.490_________________
Construct a 95% confidence interval for the population mean completion time of the
1. male runners ______30.996________________
2. female runners _____31.984_________________

5. Interpret the results of number 4.

1. __If 100 samples are obtained, 95 out of 100 would contain the true population mean completion time for males.___________________________________________________________
2. ___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.
  1. ______________________
  2. ______________________________________________________________________

_________________________________________________________________

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 _________________.

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

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