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Unformatted text preview: (from part a)
̂ (from part a)
(̂ √ (̂ ̂
) ( ̂ )
( ) (
̂ √ )
̂ ̂ ( ̂ ) ) (̂ ̂ ) ( ) ( ) [0.002, 0.058]
I am 99% confident that the proportion of people near the arctic circle that believe in global
warming is between 0.002 and 0.058 greater than those near the equator. Final Practice Problems – Free Response  Answers
Question 2
In 1900, the average adult male was 68.5” tall. In a recent random sample of 33 adult males, the average
height was 69” with a standard deviation of 2”.
a) Estimate the true mean height of adult males today with 90% confidence. ̅ ( ̅) √ √ ( ̅)
̅ ( ) [68.4, 69.6]
I am 90% confident that the average height of adult males today is between 68.4” and 69.6”.
b) Is there evidence at the 5% significance level that adult males have gotten taller since 1900?
No; the average height in 1900 (68.5”) lies within the interval.
More formally, with a hypothesis test… ( ̅) (from part a)
(from part a)
̅
( ̅) Final Practice Problems – Free Response  Answers (
(
( )
)
) There is not sufficient evidence to reject the null hypothesis...
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This note was uploaded on 02/25/2013 for the course PHYSICS 6c taught by Professor Miyagi during the Spring '11 term at UCLA.
 Spring '11
 miyagi

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