Need the H0 and H1 values

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Need the H0 and H1 values. Can use != for not equal to.
The following exercise will guide you through how to use SALT to conduct a one-sample t-test.
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'll 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
201.6667
1967
135.75
207.2833
1968
142.2833
210
1969
133.8167
202.7667
1970
130.5
185.1187
Import the dateset into SALT for analyzing.
P USE SALT
We will use SALT to summarize the data and fill in the following table.
Winning Athlete Gsndar
Sample Size
Mean Winning Time
Standard Deviation
Transcribed Image Text:The following exercise will guide you through how to use SALT to conduct a one-sample t-test. 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'll 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 201.6667 1967 135.75 207.2833 1968 142.2833 210 1969 133.8167 202.7667 1970 130.5 185.1187 Import the dateset into SALT for analyzing. P USE SALT We will use SALT to summarize the data and fill in the following table. Winning Athlete Gsndar Sample Size Mean Winning Time Standard Deviation
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
Transcribed Image Text: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
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