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?
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1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
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Kamara
yes
Prince
how does the stomach protect itself from the damaging effects of HCl
the normal temperature is 37°c or 98.6 °Fahrenheit is important for maintaining the homeostasis in the body
the body regular this temperature through the process called thermoregulation which involves brain skin muscle and other organ working together to maintain stable internal temperature