3. Suppose that the total population of nearly extinct Coronas consists of 4 remaining birds. These four Coronas have been tagged (A-D), their wingspans measured, and let go. Now, your team must find and measure the Coronas' wingspans. Each team consists of a pair of observers. Each team member will find, restrain, measure, and release one Corona. Then, the two team members will get together and record their scores. Assume that the two team members will measure different Coronas on a given expedition. Suppose there are many teams just like yours, and they are using the same methods that your team uses. In the space below, construct a list of all possible samples of N=2 Corona wingspans that the teams might collect and measure. List also the wingspans of the two observations, and then calculate the sample means. Then calculate the u of that distribution of sample means. Corona Wingspan 2 ft 3 ft A B 3 ft 5 ft Samples of N = 2: A and B X1 X2 2 3 2.5 Now you finish.... a. The Mean (H) of this (raw score) population is b. The standard deviation (0) is c. What is the mean of this sampling distribution? d. How does it compare to the mean of the population of individual Corona wingspans? e. What is the standard deviation (s) of this sampling distribution? f. How does it compare to the standard deviation of the population of individual Corona wingspans.

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3. Suppose that the total population of nearly extinct Coronas consists of 4 remaining birds. These four
Coronas have been tagged (A - D), their wingspans measured, and let go. Now, your team must find
and measure the Coronas' wingspans. Each team consists of a pair of observers. Each team member
will find, restrain, measure, and release one Corona. Then, the two team members will get together and
record their scores. Assume that the two team members will measure different Coronas on a given
expedition.
Suppose there are many teams just like yours, and they are using the same methods that your team uses.
In the space below, construct a list of all possible samples of N = 2 Corona wingspans that the teams
might collect and measure. List also the wingspans of the two observations, and then calculate the
sample means. Then calculate the u of that distribution of sample means.
Wingspan
2 ft
Corona
A
B
3 ft
3 ft
D
5 ft
Samples of N =2:
A and B
X1
X2
%3D
2.5
Now you finish....
a. The Mean (µ) of this (raw score) population is
b. The standard deviation (o) is
c. What is the mean of this sampling distribution?
d. How does it compare to the mean of the population of individual Corona wingspans?
e. What is the standard deviation (s) of this sampling distribution?
f. How does it compare to the standard deviation of the population of individual Corona wingspans?
2]
Transcribed Image Text:3. Suppose that the total population of nearly extinct Coronas consists of 4 remaining birds. These four Coronas have been tagged (A - D), their wingspans measured, and let go. Now, your team must find and measure the Coronas' wingspans. Each team consists of a pair of observers. Each team member will find, restrain, measure, and release one Corona. Then, the two team members will get together and record their scores. Assume that the two team members will measure different Coronas on a given expedition. Suppose there are many teams just like yours, and they are using the same methods that your team uses. In the space below, construct a list of all possible samples of N = 2 Corona wingspans that the teams might collect and measure. List also the wingspans of the two observations, and then calculate the sample means. Then calculate the u of that distribution of sample means. Wingspan 2 ft Corona A B 3 ft 3 ft D 5 ft Samples of N =2: A and B X1 X2 %3D 2.5 Now you finish.... a. The Mean (µ) of this (raw score) population is b. The standard deviation (o) is c. What is the mean of this sampling distribution? d. How does it compare to the mean of the population of individual Corona wingspans? e. What is the standard deviation (s) of this sampling distribution? f. How does it compare to the standard deviation of the population of individual Corona wingspans? 2]
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