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 42.8 miles per week. Assume that the population standard deviation for group runners is known to be 3.8 miles per week. She also interviews a random sample of 41 people who train on their own and finds that they run a mean of 40.9 miles per week. Assume that the population standard deviation for people who run by themselves is 2.7miles per week. Test the claim at the 0.05 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0: μ1=μ2: Ha: μ1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯μ2 Compute the value of the test statistic. Round your answer to two decimal places. Draw a conclusion and interpret the decision.
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 42.8 miles per week. Assume that the population standard deviation for group runners is known to be 3.8 miles per week. She also interviews a random sample of 41 people who train on their own and finds that they run a mean of 40.9 miles per week. Assume that the population standard deviation for people who run by themselves is 2.7miles per week. Test the claim at the 0.05 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0: μ1=μ2: Ha: μ1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯μ2 Compute the value of the test statistic. Round your answer to two decimal places. Draw a conclusion and interpret the decision.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 34 randomly selected people who train in groups, and finds that they run a mean of 42.8 miles per week. Assume that the population standard deviation for group runners is known to be 3.8 miles per week. She also interviews a random sample of 41 people who train on their own and finds that they run a mean of 40.9 miles per week. Assume that the population standard deviation for people who run by themselves is 2.7miles per week. Test the claim at the 0.05 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2.
Step 1 of 3:
State the null and alternative hypotheses for the test. Fill in the blank below.
H0: μ1=μ2: Ha: μ1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯μ2
H0: μ1=μ2: Ha: μ1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯μ2
Compute the value of the test statistic. Round your answer to two decimal places.
Draw a conclusion and interpret the decision.
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