The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 22.25 mpg and a standard deviation of σ = 1.50 mpg.   (a) What is the standard error of ¯X¯, the mean from a random sample of 36 fill-ups by one driver? (Round your answer to 4 decimal places.)   Standard error of ¯X¯ = _______   (b) Within what interval would you expect the sample mean to fall, with 99 percent probability? (Round your answers to 4 decimal places.)   The interval is from _______ to _______.

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The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 22.25 mpg and a standard deviation of σ = 1.50 mpg.
 
(a) What is the standard error of ¯X¯, the mean from a random sample of 36 fill-ups by one driver? (Round your answer to 4 decimal places.)

 

Standard error of ¯X¯ = _______

 

(b) Within what interval would you expect the sample mean to fall, with 99 percent probability? (Round your answers to 4 decimal places.)

 

The interval is from _______ to _______.

The highway fuel economy of a 2016 Lexus RX
350 FWD 6-cylinder 3.5-L automatic 5-speed
using premium fuel is a normally distributed
random variable with a mean of µ = 22.25 mpg
and a standard deviation of o = 1.50 mpg.
%3D
(a) What is the standard error of X , the mean
from a random sample of 36 fill-ups by one
driver? (Round your answer to 4 decimal
places.)
Standard error of X
(b) Within what interval would you expect the
sample mean to fall, with 99 percent
probability? (Round your answers to 4 decimal
places.)
The interval is from
to
Transcribed Image Text:The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of µ = 22.25 mpg and a standard deviation of o = 1.50 mpg. %3D (a) What is the standard error of X , the mean from a random sample of 36 fill-ups by one driver? (Round your answer to 4 decimal places.) Standard error of X (b) Within what interval would you expect the sample mean to fall, with 99 percent probability? (Round your answers to 4 decimal places.) The interval is from to
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