In a random sample of six mobile​ devices, the mean repair cost was ​$65.00 and the standard deviation was ​$13.00. Assume the population is normally distributed and use a​ t-distribution to find the margin of error and construct a 99​% confidence interval for the population mean. Interpret the results.       Question content area bottom Part 1 The 99​% confidence interval for the population mean μ is ​(43.61   43.61​,86.39   86.39​). ​(Round to two decimal places as​ needed.) Part 2 The margin of error is ​$21.40   21.40. ​(Round to two decimal places as​ needed.) Part 3 Interpret the results. Choose the correct answer below.     A. It can be said that 99​% of mobile devices have a repair cost between the bounds of the confidence interval.   B. With 99​% ​confidence, it can be said that the population mean repair cost is between the bounds of the confidence interval.   C. If a large sample of mobile devices are taken approximately 99​% of them will have repair costs between the bounds of the confidence interval.   D. With 99​% ​confidence, it can be said that the repair cost is between the bounds of the confidence interval.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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In a random sample of
six
mobile​ devices, the mean repair cost was
​$65.00
and the standard deviation was
​$13.00.
Assume the population is normally distributed and use a​ t-distribution to find the margin of error and construct a
99​%
confidence interval for the population mean. Interpret the results.
 
 
 

Question content area bottom

Part 1
The
99​%
confidence interval for the population mean
μ
is
​(43.61
 
43.61​,86.39
 
86.39​).
​(Round to two decimal places as​ needed.)
Part 2
The margin of error is
​$21.40
 
21.40.
​(Round to two decimal places as​ needed.)
Part 3
Interpret the results. Choose the correct answer below.
 
 
A.
It can be said that
99​%
of mobile devices have a repair cost between the bounds of the confidence interval.
 
B.
With
99​%
​confidence, it can be said that the population mean repair cost is between the bounds of the confidence interval.
 
C.
If a large sample of mobile devices are taken approximately
99​%
of them will have repair costs between the bounds of the confidence interval.
 
D.
With
99​%
​confidence, it can be said that the repair cost is between the bounds of the confidence interval.
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