The student will calculate confidence intervals for means when the population standard deviation is unknown.
Given
The following real data are the result of a random survey of 39 national flags (with replacement between picks) from various countries. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Let
the number of colors on a national flag.
X
Freq.
1
1
2
7
3
18
4
7
5
6
Calculating the confidence interval
Calculate the following:
3.26
1.02
39
Define the Random Variable,
, in words.
the mean number of colors of 39 flags
What is
estimating?
Is
known?
No
As a result of your answer to (4), state the exact distribution to use when calculating the Confidence Interval.
Confidence interval for the true mean number
Construct a 95% Confidence Interval for the true mean number of colors on national flags.
How much area is in both tails (combined)?
0.05
How much area is in each tail?
0.025
Calculate the following:
lower limit =
upper limit =
error bound =
2.93
3.59
0.33
The 95% Confidence Interval is:
2.93; 3.59
Fill in the blanks on the graph with the areas, upper and lower limits of the Confidence Interval and the sample mean.
In one complete sentence, explain what the interval means.
Discussion questions
Using the same
,
, and level of confidence, suppose that
were 69 instead of 39. Would the error bound become larger or smaller? How do you know?
Using the same
,
, and
, how would the error bound change if the confidence level were reduced to 90%? Why?
Questions & Answers
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Adjanou
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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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