A marathon is a long-distance race with an official distance of 26.2 miles (42.195 kilometers) and today there are more than 800 marathons held annually throughout the world. The Boston Marathon became the first major marathon to include a wheelchair division competition. This happened in 1975. One might wonder how male Boston Marathon winning finish times compare with the average male Boston Wheelchair Marathon winning finish time of 98.3 minutes. Let's test whether male Boston Marathon winners, on average, take longer to finish than male Boston Wheelchair Marathon winners by performing a one-sample t-test. We'll use a significance level of ? = 0.05. Enter the sample size, mean, and standard deviation in the table, rounded to four decimal places asnecessary.Winning AthleteGenderStandard DeviationSample SizeMean Winning Time54Male131.0386131.03863.8253.625054Step 2 of 5We need to verify the assumptions for using the one-sample t test before analyzing this dataset.First, the observations in the sample must be randomly selected from the population or the sample should beselected in such a way that the sample is representative of the population. The data are male winning timesfor the Boston Marathon for the years 1966 through 2019 and we have no reason to believe that this sampleis not representative of the population of male winners of the Boston Marathon. This indicates that the firstassumption has beenhas been met.Second, the sample size generally should be 30 or larger. We have winning times for 54 male Boston Marathonwinners. This indicates that the second assumption has beenhas been met.Step 3 of 5Because both assumptions have been met, we can pursue the analysis and determine if the data provideconvincing evidence that male Boston Marathon winners, on average, take longer to finish than male BostonWheelchair Marathon winners whose average finish time is 98.3 minutes.Write the hypotheses below. (Enter != for as needed.)Ho u = 98.3A=98,3H u> 98.3>98.3 HypothesizedAlternativeМeanHypothesisNot equal =After clicking the Generate Results button, SALT will display the summary of the One Sample t test on theright side of the Inferential Statistics page.Enter the requested values below, rounded to three decimal places as needed.Standard Error:Test Statistic:Degrees of freedom:P-value:--Select---

Name: A marathon is a long-distance race with an official distance of 26.2 m
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: A marathon is a long-distance race with an official distance of 26.2 miles (42.195 kilometers) and today there are more than 800 marathons held annually throughout the world. The Boston Marathon became the first major marathon to include a wheelchair

Answered: A marathon is a long-distance race with…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

100%

A marathon is a long-distance race with an official distance of 26.2 miles (42.195 kilometers) and today there are more than 800 marathons held annually throughout the world. The Boston Marathon became the first major marathon to include a wheelchair division competition. This happened in 1975. One might wonder how male Boston Marathon winning finish times compare with the average male Boston Wheelchair Marathon winning finish time of 98.3 minutes. Let's test whether male Boston Marathon winners, on average, take longer to finish than male Boston Wheelchair Marathon winners by performing a one-sample t-test. We'll use a significance level of ? = 0.05.

Enter the sample size, mean, and standard deviation in the table, rounded to four decimal places as
necessary.
Winning Athlete
Gender
Standard Deviation
Sample Size
Mean Winning Time
54
Male
131.0386
131.0386
3.825
3.6250
54
Step 2 of 5
We need to verify the assumptions for using the one-sample t test before analyzing this dataset.
First, the observations in the sample must be randomly selected from the population or the sample should be
selected in such a way that the sample is representative of the population. The data are male winning times
for the Boston Marathon for the years 1966 through 2019 and we have no reason to believe that this sample
is not representative of the population of male winners of the Boston Marathon. This indicates that the first
assumption has been
has been met.
Second, the sample size generally should be 30 or larger. We have winning times for 54 male Boston Marathon
winners. This indicates that the second assumption has been
has been met.
Step 3 of 5
Because both assumptions have been met, we can pursue the analysis and determine if the data provide
convincing evidence that male Boston Marathon winners, on average, take longer to finish than male Boston
Wheelchair Marathon winners whose average finish time is 98.3 minutes.
Write the hypotheses below. (Enter != for as needed.)
Ho u = 98.3
A=98,3
H u> 98.3
>98.3

Hypothesized
Alternative
Мean
Hypothesis
Not equal =
After clicking the Generate Results button, SALT will display the summary of the One Sample t test on the
right side of the Inferential Statistics page.
Enter the requested values below, rounded to three decimal places as needed.
Standard Error:
Test Statistic:
Degrees of freedom:
P-value:
--Select---

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Data Collection, Sampling Methods, and Bias$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions