Need help with H0: and H1: Step 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 I= for = as needed.)Ho Step 1 of 5A marathon is a long-distance race with an official distance of 26.2 miles (42.195 kilometers) and today thereare more than 800 marathons held annually throughout the world. The Boston Marathon became the firstmajor marathon to include a wheelchair division competition. This happened in 1975. One might wonder howmale Boston Marathon winning finish times compare with the average male Boston Wheelchair Marathonwinning finish time of 98.3 minutes. Let's test whether male Boston Marathon winners, on average, takelonger to finish than male Boston Wheelchair Marathon winners by performing a one-sample t-test. We'Il use asignificance level of a = 0.05.The finish times for Boston Marathon winners for the years 1966-2019 are in our dataset. The 2020 BostonMarathon was cancelled due to Covid-19. The first five rows of data look like this.YearMen's winning time (minutes)Women's winning time (minutes)1968137.1833201.68671967135.75207.28331968142.28332101969133.8167202.76671970130.5185.1167Import the dataset into SALT for analyzing.F USE SALTWe will use SALT to summarize the data and fill in the following table.Winning Athlete GenderSample SizeMean Winning TimeStandard DeviationMaleClick on the "Descriptive Statistics" tab along the top menu bar.

Answered: Need help with H0: and H1:

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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Need help with H0: and H1:

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 I= for = as needed.)
Ho

Step 1 of 5
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'Il use a
significance level of a = 0.05.
The finish times for Boston Marathon winners for the years 1966-2019 are in our dataset. The 2020 Boston
Marathon was cancelled due to Covid-19. The first five rows of data look like this.
Year
Men's winning time (minutes)
Women's winning time (minutes)
1968
137.1833
201.6867
1967
135.75
207.2833
1968
142.2833
210
1969
133.8167
202.7667
1970
130.5
185.1167
Import the dataset into SALT for analyzing.
F USE SALT
We will use SALT to summarize the data and fill in the following table.
Winning Athlete Gender
Sample Size
Mean Winning Time
Standard Deviation
Male
Click on the "Descriptive Statistics" tab along the top menu bar.

Expert Solution

Step 1

Hypothesis Testing :

In statistics , Hypothesis testing is an act in which an analyst tests an assumption regarding a population parameter.

There are two types of hypothesis :

Null hypothesis :

It is a statement of no effect, relationship, or difference between two or more groups or factors. Null hypothesis is denotes by H₀ . In research studies, a researcher is usually interested in rejecting the null hypothesis.

Alternative hypothesis :

It is the statement that there is an effect or difference. Alternative hypothesis is denotes by H₁ . This is usually the hypothesis the researcher is interested in accepting. The alternative hypothesis can be one-sided or two-sided.

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