ce interval does not cc lent that the mean am chan the mean amoun
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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Question
![A contributor for the local newspaper is writing an article for the weekly fitness section. To prepare for the story, she conducts a study to compare the exercise habits of people who exercise in the morning to the exercise habits of people who work out in the afternoon or evening. She selects three different health centers from which to draw her samples. The 70 people she sampled who work out in the morning have a mean of 4.9 hours of exercise each week. The 50 people surveyed who exercise in the afternoon or evening have a mean of 3.9 hours of exercise each week. Assume that the weekly exercise times have a population standard deviation of 0.6 hours for people who exercise in the morning and 0.3 hours for people who exercise in the afternoon or evening. Let Population 1 be people who exercise in the morning and Population 2 be people who exercise in the afternoon or evening.
**Step 1 of 2:** Construct a 90% confidence interval for the true difference between the mean amounts of time spent exercising each week by people who work out in the morning and those who work out in the afternoon or evening at the three health centers. Round the endpoints of the interval to one decimal place, if necessary.
**Answer (1 Point):**
- Lower Endpoint = [ ]
- Upper Endpoint = [ ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc202aa77-6401-4cfc-98e4-e96da2bfa3e8%2F3b787b18-0f03-4e48-895b-bb645fa0828e%2Fusrr7uq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A contributor for the local newspaper is writing an article for the weekly fitness section. To prepare for the story, she conducts a study to compare the exercise habits of people who exercise in the morning to the exercise habits of people who work out in the afternoon or evening. She selects three different health centers from which to draw her samples. The 70 people she sampled who work out in the morning have a mean of 4.9 hours of exercise each week. The 50 people surveyed who exercise in the afternoon or evening have a mean of 3.9 hours of exercise each week. Assume that the weekly exercise times have a population standard deviation of 0.6 hours for people who exercise in the morning and 0.3 hours for people who exercise in the afternoon or evening. Let Population 1 be people who exercise in the morning and Population 2 be people who exercise in the afternoon or evening.
**Step 1 of 2:** Construct a 90% confidence interval for the true difference between the mean amounts of time spent exercising each week by people who work out in the morning and those who work out in the afternoon or evening at the three health centers. Round the endpoints of the interval to one decimal place, if necessary.
**Answer (1 Point):**
- Lower Endpoint = [ ]
- Upper Endpoint = [ ]

Transcribed Image Text:A contributor for the local newspaper is writing an article for the weekly fitness section. To prepare for the story, she conducts a study to compare the exercise habits of people who exercise in the morning to the exercise habits of people who work out in the afternoon or evening. She selects three different health centers from which to draw her samples. The 70 people she sampled who work out in the morning have a mean of 4.9 hours of exercise each week. The 50 people surveyed who exercise in the afternoon or evening have a mean of 3.9 hours of exercise each week. Assume that the weekly exercise times have a population standard deviation of 0.6 hours for people who exercise in the morning and 0.3 hours for people who exercise in the afternoon or evening. Let Population 1 be people who exercise in the morning and Population 2 be people who exercise in the afternoon or evening.
Step 2 of 2: Interpret the confidence interval obtained in Step 1.
**Answer (1 Point):**
- ○ Since the confidence interval does not contain zero, the data do not provide evidence that the population means are unequal at a 90% confidence level.
- ○ We are 90% confident that the mean amount of time spent exercising each week by people who work out in the morning is between 0.9 hours and 1.1 hours greater than the mean amount of time spent exercising each week by people who work out in the afternoon or evening.
- ○ Since the confidence interval contains zero, the data do not provide evidence that the population means are unequal at a 90% confidence level.
- ● We are 90% confident that the mean amount of time spent exercising each week by people who work out in the morning is between 0.9 hours and 1.1 hours less than the mean amount of time spent exercising each week by people who work out in the afternoon or evening.
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