In a random sample of ten ​people, the mean driving distance to work was 19.5 miles and the standard deviation was 7.3 miles. Assume the population is normally distributed and use the​ t-distribution to find the margin of error and construct a 90​% confidence interval for the population mean μ. Interpret the results.         Question content area bottom Part 1 Identify the margin of error.   enter your response here   ▼   miles per hour square miles miles ​(Round to one decimal place as​ needed.) Part 2 Construct a 90​% confidence interval for the population mean.   enter your response here   ,enter your response here   ​(Round to one decimal place as​ needed.) Part 3 Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. ​(Type an integer or a decimal. Do not​ round.)   A. enter your response here   ​% of all random samples of ten people from the population will have a mean driving distance to work​ (in miles) that is between the​ interval's endpoints.   B. It can be said that enter your response here   ​% of the population has a driving distance to work​ (in miles) that is between the​ interval's endpoints.   C. With enter your response here   ​% ​confidence, it can be said that the population mean driving distance to work​ (in miles) is between the​ interval's endpoints.   D. With enter your response here   ​% ​confidence, it can be said that most driving distances to work​ (in miles) in the population are between the​ interval's endpoints.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question

1. 

In a random sample of
ten
​people, the mean driving distance to work was
19.5
miles and the standard deviation was
7.3
miles. Assume the population is normally distributed and use the​ t-distribution to find the margin of error and construct a
90​%
confidence interval for the population mean
μ.
Interpret the results.
 
 
 
 

Question content area bottom

Part 1
Identify the margin of error.
 
enter your response here
 
 
miles per hour
square miles
miles
​(Round to one decimal place as​ needed.)
Part 2
Construct a
90​%
confidence interval for the population mean.
 
enter your response here
 
,enter your response here
 
​(Round to one decimal place as​ needed.)
Part 3
Interpret the results. Select the correct choice below and fill in the answer box to complete your choice.
​(Type an integer or a decimal. Do not​ round.)
 
A.
enter your response here
 
​%
of all random samples of
ten
people from the population will have a mean driving distance to work​ (in miles) that is between the​ interval's endpoints.
 
B.
It can be said that
enter your response here
 
​%
of the population has a driving distance to work​ (in miles) that is between the​ interval's endpoints.
 
C.
With
enter your response here
 
​%
​confidence, it can be said that the population mean driving distance to work​ (in miles) is between the​ interval's endpoints.
 
D.
With
enter your response here
 
​%
​confidence, it can be said that most driving distances to work​ (in miles) in the population are between the​ interval's endpoints.
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