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ran is training for her first marathon, and she wants to know if there is a significant ifference between the mean number of miles run each week by group runners and ndividual runners who are training for marathons. She interviews 34 randomly selected eople who train in groups, and finds that they run a mean of 41.7 miles per week. ssume that the population standard deviation for group runners is known to be 3.7 miles per week. She also interviews a random sample of 42 people who train on their wn and finds that they run a mean of 40.3 miles per week. Assume that the population andard deviation for people who run by themselves is 2.2 miles per week. Test the aim at the 0.02 level of significance. Let group runners training for marathons be opulation 1 and let individual runners training for marathons be Population 2. ep 1. State the null and alternative hypotheses for the test. Fill in the blank below. 2 # Ho Ha swer: 1. μ₁ = H₂ 1₂ ep 2. Compute the value of the test statistic. Round your answer to two decimal ces. ep 3. Draw a conclusion and interpret the decision.

ran is training for her first marathon, and she wants to know if there is a significant ifference between the mean number of miles run each week by group runners and ndividual runners who are training for marathons. She interviews 34 randomly selected eople who train in groups, and finds that they run a mean of 41.7 miles per week. ssume that the population standard deviation for group runners is known to be 3.7 miles per week. She also interviews a random sample of 42 people who train on their wn and finds that they run a mean of 40.3 miles per week. Assume that the population andard deviation for people who run by themselves is 2.2 miles per week. Test the aim at the 0.02 level of significance. Let group runners training for marathons be opulation 1 and let individual runners training for marathons be Population 2. ep 1. State the null and alternative hypotheses for the test. Fill in the blank below. 2 # Ho Ha swer: 1. μ₁ = H₂ 1₂ ep 2. Compute the value of the test statistic. Round your answer to two decimal ces. ep 3. Draw a conclusion and interpret the decision.

MATLAB: An Introduction with Applications
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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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 34 randomly selected people who train in groups, and finds that they run a mean of 41.7 miles per week. Assume that the population standard deviation for group runners is known to be 3.7 miles per week. She also interviews a random sample of 42 people who train on their own and finds that they run a mean of 40.3 miles per week. Assume that the population standard deviation for people who run by themselves is 2.2 miles per week. Test the claim at the 0.02 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 1. State the null and alternative hypotheses for the test. Fill in the blank below. A) > B) < Ho Ha Answer: ₁ =fl₁ = H₂ M₂ C) # Step 2. Compute the value of the test statistic. Round your answer to two decimal places. Step 3. Draw a conclusion and interpret the decision. A) We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners. B) We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
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 34 randomly selected people who train in groups, and finds that they run a mean of 41.7 miles per week. Assume that the population standard deviation for group runners is known to be 3.7 miles per week. She also interviews a random sample of 42 people who train on their own and finds that they run a mean of 40.3 miles per week. Assume that the population standard deviation for people who run by themselves is 2.2 miles per week. Test the claim at the 0.02 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 1. State the null and alternative hypotheses for the test. Fill in the blank below. A) > B) < Ho Ha Answer: ₁ =fl₁ = H₂ M₂ C) # Step 2. Compute the value of the test statistic. Round your answer to two decimal places. Step 3. Draw a conclusion and interpret the decision. A) We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners. B) We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
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