Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 37 randomly selected people who train in groups, and finds that they run a mean of 47.7 miles per week. Assume that the population standard deviation for group runners is known to be 3.3 miles per week. She also interviews a random sample of 49 people who train on their own and finds that they run a mean of 49.4 miles per week. Assume that the population standard deviation for people who run by themselves is 4.4 miles per week. Test the claim at the 0.10 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 37 randomly selected people who train in groups, and finds that they run a mean of 47.7 miles per week. Assume that the population standard deviation for group runners is known to be 3.3 miles per week. She also interviews a random sample of 49 people who train on their own and finds that they run a mean of 49.4 miles per week. Assume that the population standard deviation for people who run by themselves is 4.4 miles per week. Test the claim at the 0.10 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 37 randomly selected people who train in groups, and finds that they run a mean of 47.7 miles per week. Assume that the population standard deviation for group runners is known to be 3.3 miles per week. She also interviews a random sample of 49 people who train on their own and finds that they run a mean of 49.4 miles per week. Assume that the population standard deviation for people who run by themselves is 4.4 miles per week. Test the claim at the 0.10 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2.
Step 2 of 3 :
Compute the value of the test statistic. Round your answer to two decimal places.
![Fran is training for her first marathon, and she wants to know if there is a significant difference between
the mean number of miles run each week by group runners and individual runners who are training for
marathons. She interviews 37 randomly selected people who train in groups, and finds that they run a
mean of 47.7 miles per week. Assume that the population standard deviation for group runners is known
to be 3.3 miles per week. She also interviews a random sample of 49 people who train on their own and
finds that they run a mean of 49.4 miles per week. Assume that the population standard deviation for
people who run by themselves is 4.4 miles per week. Test the claim at the 0.10 level of significance. Let
group runners training for marathons be Population 1 and let individual runners training for marathons
be Population 2.
Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb746646f-39dd-4312-845d-6abd1eeee77e%2Fc59a4828-fe21-47dc-a5d8-0bae6cd326e4%2Fcvby1co_processed.png&w=3840&q=75)
Transcribed Image Text:Fran is training for her first marathon, and she wants to know if there is a significant difference between
the mean number of miles run each week by group runners and individual runners who are training for
marathons. She interviews 37 randomly selected people who train in groups, and finds that they run a
mean of 47.7 miles per week. Assume that the population standard deviation for group runners is known
to be 3.3 miles per week. She also interviews a random sample of 49 people who train on their own and
finds that they run a mean of 49.4 miles per week. Assume that the population standard deviation for
people who run by themselves is 4.4 miles per week. Test the claim at the 0.10 level of significance. Let
group runners training for marathons be Population 1 and let individual runners training for marathons
be Population 2.
Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
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