Question
In: Statistics and Probability
A random sample of 36 mid-sized cars tested for fuel consumption gave a mean of 26.4...
A random sample of 36 mid-sized cars tested for fuel consumption gave a mean of 26.4 miles per gallon with a standard deviation of 2.3 miles per gallon. Find a 99% confidence interval for the true population mean miles per gallon. Upload the file with your answer and work.
Solutions
Expert Solution
Solution :
Given that,
Point estimate = sample mean = 
= 26.4
Population standard deviation = 
= 2.3
Sample size = n = 36
At 99% confidence level
= 1 - 99%
= 1 - 0.99 =0.01
/2
= 0.005
Z/2
= Z0.005 = 2.576
Margin of error = E = Z/2
* ( 
/
= 2.576 * ( 2.3 /
= 0.99
At 99% confidence interval estimate of the population mean is,
- E < 
<
+ E
26.4 - 0.99 < < 26.4 + 0.99
25.41 <
< 27.39
( 25.41 , 27.39 )
The 99% confidence interval for the true population mean is ( 25.41 , 27.39 )
orchestra answered 1 year agoRelated Solutions
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