The student will calculate confidence intervals for means when the population standard deviation is known.
Given
The mean age for all Foothill College students for a recent Fall term was 33.2. The population standard deviation has been pretty consistent at 15. Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was 30.4. We are interested in the true mean age for Winter Foothill College students.
(
(External Link)
Let
the age of a Winter Foothill College student
Calculating the confidence interval
30.4
=
25
15=(insert symbol here)
Define the Random Variable,
, in words.
=
the mean age of 25 randomly selected Winter Foothill students
What is
estimating?
Is
known?
yes
As a result of your answer to (4), state the exact distribution to use when calculating the Confidence Interval.
Normal
Explaining the confidence interval
Construct a 95% Confidence Interval for the true mean age of Winter Foothill College students.
How much area is in both tails (combined)?
0.05
How much area is in each tail?
0.025
Identify the following specifications:
lower limit =
upper limit =
error bound =
24.52
36.28
5.88
The 95% Confidence Interval is:__________________
In one complete sentence, explain what the interval means.
Discussion questions
Using the same mean, standard deviation and level of confidence, suppose that
were 69 instead of 25. Would the error bound become larger or smaller? How do you know?
Using the same mean, standard deviation and sample size, how would the error bound change if the confidence level were reduced to 90%? Why?
Questions & Answers
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Adjei
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Adjanou
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Pedro
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can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
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